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Coulomb attraction driven spontaneous molecule-hotspot pairing enables universal,fast,and large-scale uniform single-molecule Raman spectroscopy 被引量:1
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作者 Lihong Hong Haiyao Yang +2 位作者 Jianzhi Zhang Zihan Gao Zhi-Yuan Li 《Opto-Electronic Advances》 2025年第7期37-49,共13页
Raman spectroscopy offers a great power to detect,analyze and identify molecules,and monitor their temporal dynamics and evolution when combined with single-molecule surface-enhanced Raman scattering(SM-SERS)substrate... Raman spectroscopy offers a great power to detect,analyze and identify molecules,and monitor their temporal dynamics and evolution when combined with single-molecule surface-enhanced Raman scattering(SM-SERS)substrates.Here we present a SM-SERS scheme that involves simultaneously giant chemical enhancement from WS22D materials,giant electromagnetic enhancement from plasmonic nanogap hot spot,and inhibition of molecular fluorescence influence under near-infrared laser illumination.Remarkably we find Coulomb attraction between analyte and gold nanoparticle can trigger spontaneous formation of molecule-hotspot pairing with high precision,stability and robustness.The scheme has enabled realization of universal,robust,fast,and large-scale uniform SM-SERS detection for three Raman molecules of rhodamine B,rhodamine 6G,and crystal violet with a very low detection limit of 10−16 M and at a very fast spectrum acquisition time of 50 ms. 展开更多
关键词 single-molecule Raman spectroscopy Coulomb attractions electromagnetic enhancement chemical enhancement near-infrared laser illumination
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Active learning attraction basins of dynamical system
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作者 Xiao-Wei Cao Xiao-Lei Ru Gang Yan 《Chinese Physics B》 2025年第5期115-122,共8页
Dynamical systems often exhibit multiple attractors representing significantly different functioning conditions.A global map of attraction basins can offer valuable guidance for stabilizing or transitioning system sta... Dynamical systems often exhibit multiple attractors representing significantly different functioning conditions.A global map of attraction basins can offer valuable guidance for stabilizing or transitioning system states.Such a map can be constructed without prior system knowledge by identifying attractors across a sufficient number of points in the state space.However,determining the attractor for each initial state can be a laborious task.Here,we tackle the challenge of reconstructing attraction basins using as few initial points as possible.In each iteration of our approach,informative points are selected through random seeding and are driven along the current classification boundary,promoting the eventual selection of points that are both diverse and enlightening.The results across various experimental dynamical systems demonstrate that our approach requires fewer points than baseline methods while achieving comparable mapping accuracy.Additionally,the reconstructed map allows us to accurately estimate the minimum escape distance required to transition the system state to a target basin. 展开更多
关键词 complex system attraction basin active learning
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Electrostatic Attraction-Driven Assembly of Non-Noble Metallo-Supramolecular Polymers With Single-Walled Carbon Nanotubes for Boosting Photocatalytic Hydrogen Evolution
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作者 Yanyan Qin Chen Zhang +2 位作者 Yidi Wang Pengfei She Wai-Yeung Wong 《Carbon Energy》 2025年第6期110-119,共10页
The search for photoactive materials that are able to efficiently produce solar fuels is a growing research field to tackle the current energy crisis.Herein,we have prepared two ionic non-noble metallo-supramolecular ... The search for photoactive materials that are able to efficiently produce solar fuels is a growing research field to tackle the current energy crisis.Herein,we have prepared two ionic non-noble metallo-supramolecular polymers Se-MTpy(M=Co or Ni),and constructed their composites with single-walled carbon nanotubes(CNTs)via electrostatic attraction andπ-πinteractions for efficient and stable photocatalytic hydrogen evolution.In the photocatalytic system,the cationic Se-MTpy as host and anionic CNTs as vip are assembled into a binary composite,which exhibits superior photocatalytic activity under visible light irradiation(>420 nm).The optimized CNT@Se-CoTpy composite,containing 1.2 wt%metal loading,achieves 7 times higher hydrogen evolution rate(2.47 mmol g^(-1)h^(-1))than bare Se-CoTpy(0.35 mmol g^(-1)h^(-1)).This is attributed to the constructive formation of junctions between polymer and CNTs,facilitating interfacial charge transfer and transport for efficient proton reduction.The composite system also shows high photostability after continuous irradiation for~30 h.The combination of experimental and theoretical analysis demonstrates the higher activity for reducing H_(2)O to H_(2)of Se-CoTpy than Se-NiTpy.The feasible interfacial architecture proposed in this study represents an effective approach to achieve high photocatalytic performance. 展开更多
关键词 electrostatic attraction hybrid heterojunction metallo-supramolecular polymers photocatalytic hydrogen evolution single-walled carbon nanotubes
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Traffic Forecast and Business Operation Optimization Strategy of Smart Tourist Attractions Driven by Big Data
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作者 Aihan Cao 《Proceedings of Business and Economic Studies》 2025年第5期184-190,共7页
In order to improve the competitiveness of smart tourist attractions in the tourism market,this paper selects a scenic spot in Shenyang and uses big data technology to predict the passenger flow of the scenic spot.Fir... In order to improve the competitiveness of smart tourist attractions in the tourism market,this paper selects a scenic spot in Shenyang and uses big data technology to predict the passenger flow of the scenic spot.Firstly,this paper introduces the big data-driven forecast model of scenic spot passenger flow.Based on the traditional autoregressive integral moving average model and artificial neural network model,it builds a big data analysis and forecast model.Through the analysis of data source,model building,scenic spot passenger flow accuracy,and modeling time comparison,it affirms the advantages of big data analysis in forecasting scenic spot passenger flow.Finally,it puts forward four commercial operation optimization strategies:adjusting the ticket pricing of scenic spots,upgrading the catering and accommodation services in scenic spots,planning and designing play projects,and formulating accurate scenic spot marketing strategies,in order to provide references for the optimization and upgrading of smart tourist attractions in the future. 展开更多
关键词 Big data Smart tourist attractions Passenger flow forecast Commercial operation
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A user-based approach for assessing spatial equity of attractiveness and accessibility to alternative urban parks
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作者 Tahere Ghaemi Rad Abbas Alimohammadi 《Geo-Spatial Information Science》 CSCD 2024年第2期487-504,共18页
Spatial equity in access to urban services is a significant element of sustainable urban planning.To date,a service-based index is used to measure service attractiveness,considering attractiveness as a static concept.... Spatial equity in access to urban services is a significant element of sustainable urban planning.To date,a service-based index is used to measure service attractiveness,considering attractiveness as a static concept.While from the user side view,service attractiveness is a dynamic concept related to the variation of different opportunities of users to use the services and capacities.In this paper,a user-based method for measuring service attractiveness is proposed.In this approach,the attractiveness of service for a user is modeled as a function of the user's Travel Times(TT),Free Times(FTs),park size and relative positions of the user,local demanding population,and service.Then,the inequity of attractiveness of services for different users has been examined using three inequity indices including the Duration of Use(DU),Frequency of Visit(FV),and the Chance of Space Choice(CSC).The proposed method is applied to urban regional parks of Tehran municipality.Traffc Analysis Zones(TAZs)and regional parks are respectively regarded as the users and services.In addition to considering inequity of access to the first closest park,the additional cost of accessing to the other two closest parks is also considered.Results show that the proposed method leads to the exploration of the existing inequities of DU,FV,and CSC among residents in local scales,whereas in the service-based method,all users of a service are highlighted with a single value of attractiveness.Comparison of the user-based and service-based attractiveness indices show significant differences.As an example,user-based attractiveness values of about 14%and 20%of TAZs are respectively 5 and 3 square meters more than that of the service-based attractiveness index.However,the service-based method is suitable for regional-scale comparison of the inequities.Therefore,the proposed index can complement the service-based index for inequity mapping and management in varying scales. 展开更多
关键词 Spatial equity and inequity service-based attractiveness index user-based attractiveness index Duration of Use Frequency of visits Chance of Space Choice TEHRAN Urban regional parks
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Multiscale Characteristics and Connection Mechanisms of Attraction Networks:A Trajectory Data Mining Approach Leveraging Geotagged Data
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作者 JIANG Hongqiang WEI Ye +1 位作者 MEI Lin WANG Zhaobo 《Chinese Geographical Science》 SCIE CSCD 2024年第3期533-547,共15页
Urban tourism is considered a complex system,and multiscale exploration of the organizational patterns of attraction networks has become a topical issue in urban tourism,so exploring the multiscale characteristics and... Urban tourism is considered a complex system,and multiscale exploration of the organizational patterns of attraction networks has become a topical issue in urban tourism,so exploring the multiscale characteristics and connection mechanisms of attraction networks is important for understanding the linkages between attractions and even the future destination planning.This paper uses geotagging data to compare the links between attractions in Beijing,China during four different periods:the pre-Olympic period(2004–2007),the Olympic Games and subsequent‘heat period’(2008–2013),the post-Olympic period(2014–2019),and the COVID-19(Corona Virus Disease 2019)pandemic period(2020–2021).The aim is to better understand the evolution and patterns of attraction networks at different scales in Beijing and to provide insights for tourism planning in the destination.The results show that the macro,meso-,and microscales network characteristics of attraction networks have inherent logical relationships that can explain the commonalities and differences in the development process of tourism networks.The macroscale attraction network degree Matthew effect is significant in the four different periods and exhibits a morphological monocentric structure,suggesting that new entrants are more likely to be associated with attractions that already have high value.The mesoscale links attractions according to the common purpose of tourists,and the results of the community segmentation of the attraction networks in the four different periods suggest that the functional polycentric structure describes their clustering effect,and the weak links between clusters result from attractions bound by incomplete information and distance,and the functional polycentric structure with a generally more efficient network of clusters.The pattern structure at the microscale reveals the topological transformation relationship of the regional collaboration pattern,and the attraction network structure in the four different periods has a very similar importance profile structure suggesting that the attraction network has the same construction rules and evolution mechanism,which aids in understanding the attraction network pattern at both macro and micro scales.Important approaches and practical implications for planners and managers are presented. 展开更多
关键词 attraction network travel mobility polycentric structure network motif connectivity mechanism destination management organization(DMO) destination planning Beijing China
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Differential Effect of Gender & Snapchat Filter Types on Attraction Perception
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作者 Zuoming Wang 《Social Networking》 2024年第4期66-79,共14页
The focus of this study was to examine how different factors including gender of the person on Snapchat and Snapchat filter types (no filter vs. pretty filter vs. frown filter vs. dog filter vs. sponsored filter) infl... The focus of this study was to examine how different factors including gender of the person on Snapchat and Snapchat filter types (no filter vs. pretty filter vs. frown filter vs. dog filter vs. sponsored filter) influence social and physical attraction perception of a person. An experiment manipulating both factors was conducted (N = 226). Results showed female on Snapchat was rated significantly higher on both social and physical attraction than their male counterparts. The use of different types of Snapchat filters had a significant effect on social attraction, but not on physical attraction. Moreover, there was a significant interaction effect between gender of the person on Snapchat and the types of Snapchat filter used on the social attraction rating. 展开更多
关键词 Snapchat Filter Style attractION
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Electrostatic Attraction and Repulsion Explained and Modelled Mathematically Using Classical Physics—A Detailed Mechanism Based on Particle Wave Functions
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作者 Declan Traill 《Journal of Applied Mathematics and Physics》 2024年第4期1050-1062,共13页
The phenomenon of electrical attraction and repulsion between charged particles is well known, and described mathematically by Coulomb’s Law, yet until now there has been no explanation for why this occurs. There has... The phenomenon of electrical attraction and repulsion between charged particles is well known, and described mathematically by Coulomb’s Law, yet until now there has been no explanation for why this occurs. There has been no mechanistic explanation that reveals what causes the charged particles to accelerate, either towards or away from each other. This paper gives a detailed explanation of the phenomena of electrical attraction and repulsion based on my previous work that determined the exact wave-function solutions for both the Electron and the Positron. It is revealed that the effects are caused by wave interactions between the wave functions that result in Electromagnetic reflections of parts of the particle’s wave functions, causing a change in their momenta. 展开更多
关键词 ELECTROSTATIC Electron POSITRON COULOMB Force attractION REPULSION Wave Function Electric Magnetic Radiation Pressure Shell THEOREM 3D Computer Model Quantum
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The Mechanics of Electrostatic Attraction and Repulsion, a Speculative Conceptual Analysis
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作者 Francois Zinserling 《Journal of Applied Mathematics and Physics》 2024年第11期3873-3888,共16页
The mechanics of Coulomb attraction and repulsion between charged particles are not currently understood but can be explained using a photon-pair aether. A spin-2 photon pair with no net E or B fields can freely penet... The mechanics of Coulomb attraction and repulsion between charged particles are not currently understood but can be explained using a photon-pair aether. A spin-2 photon pair with no net E or B fields can freely penetrate deep into matter. It may collide with a charged particle and be transformed through the interaction into a spin-0 photon pair. This outflow of spin-0 photon pairs forms a homogeneous (+E) or (−E) electrostatic field around the particle, depending on its charge. Charged particles in the vicinity of each other experience an asymmetry in the incoming field, from which attraction or repulsion arises. Repulsion or attraction is understood as the transfer of momentum from photons to particles, which results in the appearance of a force. 展开更多
关键词 Coulomb attraction and Repulsion Primordial and Electrostatic Photon Pairs Electric Field
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Augmented Appeal China is doubling down on attracting foreign investors through broader market access and improved business environment
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作者 WANG XIAOHONG ZHANG JIANPING TANG YIHONG 《ChinAfrica》 2024年第8期28-30,共3页
Attracting foreign capital is a key pillar of China’s reform and opening up policy,and foreign-funded enterprises are an important component of China’s economy.Currently,China is taking steps to further boost its at... Attracting foreign capital is a key pillar of China’s reform and opening up policy,and foreign-funded enterprises are an important component of China’s economy.Currently,China is taking steps to further boost its attractiveness as a foreign direct investment(FDI)destination in order to seek more foreign capital. 展开更多
关键词 funded INVESTOR attracting
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Study on Attractiveness of Rural Landscapes against the Background of New Countryside Development 被引量:2
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作者 魏强 《Journal of Landscape Research》 2012年第2期23-25,共3页
Through analyzing relevant documents,connotations of rural landscape attractiveness were introduced,and existing problems of present rural landscapes elaborated.It was proposed that rural tourism of China has no effec... Through analyzing relevant documents,connotations of rural landscape attractiveness were introduced,and existing problems of present rural landscapes elaborated.It was proposed that rural tourism of China has no effective strategic planning,distinctive characteristics of landscape products,or efficient marketing of rural landscape resources.Influencing factors of rural landscape attractiveness were summarized,and suggestions were given to improve the attractiveness by combining with actual conditions of China.Moreover,it was stressed that favorable rural landscape images should be created,and more efforts devoted in safeguarding native-soil cultural landscapes and exploring tourist market of rural landscape resources.The study was to provide useful references for the new countryside construction of China. 展开更多
关键词 RURAL landscapes TOURIST attractIVENESS Influencing FACTOR Improvement strategy
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Effects of short-range attraction on Jamming transition 被引量:1
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作者 Zhenhuan Xu Rui Wang +2 位作者 Jiamei Cui Yanjun Liu Wen Zheng 《Chinese Physics B》 SCIE EI CAS CSCD 2021年第6期409-413,共5页
Enormous progresses to understand the jamming transition have been driven via simulating purely repulsive particles which were somehow idealized in the past two decades. While the attractive systems are both theoretic... Enormous progresses to understand the jamming transition have been driven via simulating purely repulsive particles which were somehow idealized in the past two decades. While the attractive systems are both theoretical and practical compared with repulsive systems. By studying the statistics of rigid clusters, we find that the critical packing fraction φ_(c) varies linearly with attraction μ for different system sizes when the range of attraction is short. While for systems with long-range attractions, however, the slope of φ_(c) appears significantly different, which means that there are two distinct jamming scenarios. In this paper, we focus our main attention on short-range attractions scenario and define a new quantity named "short-range attraction susceptibility" χ_(p), which describes the degree of response of the probability of finding jammed states pjto short-range attraction strength μ. Our central results are that χ_(p) diverges in the thermodynamic limit as χ_(p) ∝|φ-φ_(c)^(∞)|^(-γ_(p)), where φ_(c)^(∞) is the packing fraction at the jamming transition for the infinite system in the absence of attraction. χ_(p) obeys scaling collapse with a scaling function in both two and three dimensions, illuminating that the jamming transition can be considered as a phase transition as proposed in previous work. 展开更多
关键词 short-range attraction Jamming transition short-range attraction susceptibility
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Preliminary Study of 12 Chinese Herbs as Feed Attractants on Turbot Juvenile(Scophthalmus maximus)
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作者 朱国霞 白东清 +3 位作者 李玉华 马静 吴旋 宁博 《Agricultural Science & Technology》 CAS 2010年第6期115-116,120,共3页
[Objective] The paper aims to study the attractive effects of 12 Chinese medicinal herbs on Scophthalmus maximus juvenile.[Method] We took 200 Scophthalmus maximus with the average body length of 3 cm,average weight o... [Objective] The paper aims to study the attractive effects of 12 Chinese medicinal herbs on Scophthalmus maximus juvenile.[Method] We took 200 Scophthalmus maximus with the average body length of 3 cm,average weight of 1 g and 60 days of age as the research object,and 12 Chinese medicinal herbs as feed attractants were selected,including Cloves,Cinnamon,Star anise,Kaempferol,Mint,Coptis,Phellodendron,skullcap,Gardenia,Sophora flavescens,Mume,Myrobalan meat were selected.The amount added to the basic diet was 2‰..The times of turbot juveniles going into each inducing room and the times of turbot juveniles biting the feed ball were recorded by maze experiments.Inducing effects of the Chinese herbal medicines were analyzed.[Result] The results showed that the attractant effect of Mume,Gardenia,Scutellaria and kaempferol had the significantly inducing effect on Scophthalmus maximus juvenile.And 2‰ Gardenia,5‰ Matrine,5‰ Scutellaria and 2‰ Kaempferol have the best attractant effects.In compound experients,the attractive effect of mixture of 2‰ matrine and gardenia on Scophthalmus maximus was the best.[Conclusion] The attractive effect on Scophthalmus maximus has something to do with the kind and concentration of Chinese medicinal herbs. 展开更多
关键词 Chinese medicinal herbs Scophthalmus maximus juvenile attractANT
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Analysis and Empirical Study on the Tourism Attraction Factors of Scenic Areas
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作者 张科静 高阔 黄朝阳 《Journal of Landscape Research》 2009年第4期25-29,共5页
Modeling research and empirical study on the attraction of tourism destinations were conducted from 6 aspects,i.e.quality and scale of tourism resources,economic environment of tourism destinations,policy environment,... Modeling research and empirical study on the attraction of tourism destinations were conducted from 6 aspects,i.e.quality and scale of tourism resources,economic environment of tourism destinations,policy environment,accessibility,income level of tourist source areas as well as distance between tourist source area and tourism destination. 展开更多
关键词 TOURISM SCENIC area TOURIST source area TOURISM attractION TOURISM RESOURCES
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Global Attractivity of a Kind of Delay Difference Equations
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作者 李先义 朱德明 金银来 《Chinese Quarterly Journal of Mathematics》 CSCD 2002年第1期9-18,共10页
Several new sufficient conditions are given for the global attractivity of solutions of a kind of delay difference equations. They either include or improve some known results and put the study of Ladas' conjectur... Several new sufficient conditions are given for the global attractivity of solutions of a kind of delay difference equations. They either include or improve some known results and put the study of Ladas' conjecture forward. 展开更多
关键词 delay difference equation global attractivity positive semicycle negative semicycle periodic point of prime period two
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Study on Tourist Attractiveness of Ancient Villages and Towns Based on Cognition of Visitors
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作者 韦东海 《Journal of Landscape Research》 2010年第11期70-72,83,共4页
Through survey of visitors,relevant data had been acquired.By aid of factor analysis method,computation model of comprehensive tourist attractiveness of ancient villages and towns was established,which had certain the... Through survey of visitors,relevant data had been acquired.By aid of factor analysis method,computation model of comprehensive tourist attractiveness of ancient villages and towns was established,which had certain theoretical and practical guidance value to rural tourism resources development and market development. 展开更多
关键词 Ancient VILLAGES and TOWNS tourism FACTOR analysis attractIVENESS FACTOR
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Comparative Study and Inspiration of Management Mode of Heritage Tourist Attractions in China and Foreign Countries
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作者 刘宇青 《Journal of Landscape Research》 2011年第12期81-83,87,共4页
In order to improve the management level of heritage tourist attractions and achieve their sustainable development,a comparative study has been conducted on the management mode of heritage tourist attractions in China... In order to improve the management level of heritage tourist attractions and achieve their sustainable development,a comparative study has been conducted on the management mode of heritage tourist attractions in China and foreign countries from the perspective of management foundation,management objects and management resources.Then,suggestions have been proposed from the ideology and supervision mechanism,including improving ideology,upgrading management system,completing supervision mechanism and adopting international management mode.Particularly,the paper has pointed out that it should find the best management mode based on different social and economic backgrounds of the countries of heritage tourist attractions. 展开更多
关键词 HERITAGE type TOURIST attractIONS Management MODE
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Attractors and the attraction basins of discrete-time cellular neural networks
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作者 MaRunnian XiYoumin 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2005年第1期204-208,共5页
The dynamic behavior of discrete-time cellular neural networks(DTCNN), which is strict with zero threshold value, is mainly studied in asynchronous mode and in synchronous mode. In general, a k-attractor of DTCNN is n... The dynamic behavior of discrete-time cellular neural networks(DTCNN), which is strict with zero threshold value, is mainly studied in asynchronous mode and in synchronous mode. In general, a k-attractor of DTCNN is not a convergent point. But in this paper, it is proved that a k-attractor is a convergent point if the strict DTCNN satisfies some conditions. The attraction basin of the strict DTCNN is studied, one example is given to illustrate the previous conclusions to be wrong, and several results are presented. The obtained results on k-attractor and attraction basin not only correct the previous results, but also provide a theoretical foundation of performance analysis and new applications of the DTCNN. 展开更多
关键词 discrete-time cellular neural networks convergent point k-attractor attraction basin.
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Analysis and implementation of new fractional-order multi-scroll hidden attractors
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作者 Li Cui Wen-Hui Luo Qing-Li Ou 《Chinese Physics B》 SCIE EI CAS CSCD 2021年第2期203-210,共8页
To improve the complexity of chaotic signals,in this paper we first put forward a new three-dimensional quadratic fractional-order multi-scroll hidden chaotic system,then we use the Adomian decomposition algorithm to ... To improve the complexity of chaotic signals,in this paper we first put forward a new three-dimensional quadratic fractional-order multi-scroll hidden chaotic system,then we use the Adomian decomposition algorithm to solve the proposed fractional-order chaotic system and obtain the chaotic phase diagrams of different orders,as well as the Lyaponov exponent spectrum,bifurcation diagram,and SE complexity of the 0.99-order system.In the process of analyzing the system,we find that the system possesses the dynamic behaviors of hidden attractors and hidden bifurcations.Next,we also propose a method of using the Lyapunov exponents to describe the basins of attraction of the chaotic system in the matlab environment for the first time,and obtain the basins of attraction under different order conditions.Finally,we construct an analog circuit system of the fractional-order chaotic system by using an equivalent circuit module of the fractional-order integral operators,thus realizing the 0.9-order multi-scroll hidden chaotic attractors. 展开更多
关键词 fractional order hidden attractor hidden bifurcation basins of attraction circuit implementation
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Existence of hidden attractors in nonlinear hydro-turbine governing systems and its stability analysis
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作者 赵鹏翀 卫皓娟 +3 位作者 徐振坤 陈帝伊 许贝贝 王雨萌 《Chinese Physics B》 SCIE EI CAS CSCD 2023年第9期220-228,共9页
This work studies the stability and hidden dynamics of the nonlinear hydro-turbine governing system with an output limiting link,and propose a new six-dimensional system,which exhibits some hidden attractors.The param... This work studies the stability and hidden dynamics of the nonlinear hydro-turbine governing system with an output limiting link,and propose a new six-dimensional system,which exhibits some hidden attractors.The parameter switching algorithm is used to numerically study the dynamic behaviors of the system.Moreover,it is investigated that for some parameters the system with a stable equilibrium point can generate strange hidden attractors.A self-excited attractor with the change of its parameters is also recognized.In addition,numerical simulations are carried out to analyze the dynamic behaviors of the proposed system by using the Lyapunov exponent spectra,Lyapunov dimensions,bifurcation diagrams,phase space orbits,and basins of attraction.Consequently,the findings in this work show that the basins of hidden attractors are tiny for which the standard computational procedure for localization is unavailable.These simulation results are conducive to better understanding of hidden chaotic attractors in higher-dimensional dynamical systems,and are also of great significance in revealing chaotic oscillations such as uncontrolled speed adjustment in the operation of hydropower station due to small changes of initial values. 展开更多
关键词 nonlinear hydro-turbine governing systems hidden attractors basin of attraction Lyapunov exponent spectrum
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