Complex chaotic sequences are widely employed in real world, so obtaining more complex sequences have received highly interest. For enhancing the complexity of chaotic sequences, a common approach is increasing the sc...Complex chaotic sequences are widely employed in real world, so obtaining more complex sequences have received highly interest. For enhancing the complexity of chaotic sequences, a common approach is increasing the scroll-number of attractors. In this paper, a novel method to control system for generating multi-layer nested chaotic attractors is proposed.At first, a piecewise(PW) function, namely quadratic staircase function, is designed. Unlike pulse signals, each level-logic of this function is square constant, and it is easy to realize. Then, by introducing the PW functions to a modified Chua's system with cubic nonlinear terms, the system can generate multi-layer nested Chua's attractors. The dynamical properties of the system are numerically investigated. Finally, the hardware implementation of the chaotic system is used FPGA chip.Experimental results show that theoretical analysis and numerical simulation are right. This chaotic oscillator consuming low power and utilization less resources is suitable for real applications.展开更多
Conservative chaotic flows have better ergodicity,therefore researching dynamics and applications of conservative systems has become a hot topic.We introduce a constant-perturbation into a 5-dimensional(5D)conservativ...Conservative chaotic flows have better ergodicity,therefore researching dynamics and applications of conservative systems has become a hot topic.We introduce a constant-perturbation into a 5-dimensional(5D)conservative model.Consequently,the line equilibria of original model have been changed to non-equilibrium.Plentiful chaos phenomena such as coexisting conservative flows can be observed in this modified system.In addition,by increasing the magnitude of the disturbance,the conservative system can be transformed to a dissipative system.Then,the modified system is realized by an xc7z020clg400 field programmable gate array(FPGA)chip.The designed chaotic oscillator consumes fewer resources and has high iteration speed.Finally,a pseudo random number generator based on this novel digital oscillator is designed.展开更多
基金supported by the National Natural Science Foundation of China (Grant No. 62071411)。
文摘Complex chaotic sequences are widely employed in real world, so obtaining more complex sequences have received highly interest. For enhancing the complexity of chaotic sequences, a common approach is increasing the scroll-number of attractors. In this paper, a novel method to control system for generating multi-layer nested chaotic attractors is proposed.At first, a piecewise(PW) function, namely quadratic staircase function, is designed. Unlike pulse signals, each level-logic of this function is square constant, and it is easy to realize. Then, by introducing the PW functions to a modified Chua's system with cubic nonlinear terms, the system can generate multi-layer nested Chua's attractors. The dynamical properties of the system are numerically investigated. Finally, the hardware implementation of the chaotic system is used FPGA chip.Experimental results show that theoretical analysis and numerical simulation are right. This chaotic oscillator consuming low power and utilization less resources is suitable for real applications.
基金supported by the National Natural Science Foundation of China(Grant No.62071411)。
文摘Conservative chaotic flows have better ergodicity,therefore researching dynamics and applications of conservative systems has become a hot topic.We introduce a constant-perturbation into a 5-dimensional(5D)conservative model.Consequently,the line equilibria of original model have been changed to non-equilibrium.Plentiful chaos phenomena such as coexisting conservative flows can be observed in this modified system.In addition,by increasing the magnitude of the disturbance,the conservative system can be transformed to a dissipative system.Then,the modified system is realized by an xc7z020clg400 field programmable gate array(FPGA)chip.The designed chaotic oscillator consumes fewer resources and has high iteration speed.Finally,a pseudo random number generator based on this novel digital oscillator is designed.
