The Homoclinic Orbit Solution for Functional Equation

The Homoclinic Orbit Solution for Functional Equation

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摘要 In this paper, some examples, such as iterated functional systems, scaling equation of wavelet transform,and invariant measure system, are used to show that the homoclinic orbit solutions exist in the functional equations too.And the solitary wave exists in generalized dynamical systems and functional systems.

作者 LIUShi－Da FUZun－Tao

机构地区 SchoolofPhysics STCS

出处《Communications in Theoretical Physics》 SCIE CAS CSCD 2002年第5期553-554,共2页 理论物理通讯（英文版）

基金国家自然科学基金

关键词 functional equation scaling equation solitary wave homoclinic orbit 泛函方程孤子波小波变换

分类号 O177 [理学—基础数学]

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1LIU Shi-Da FU Zun-Tao LIU Shi-Kuo REN Kui.The Homoclinic Orbit Solution for Functional Equation[J].Communications in Theoretical Physics,2002(11):553-554.
2XU Liping,LI Zhi.Doubly Perturbed Neutral Stochastic Functional Equations Driven by Fractional Brownian Motion[J].Journal of Partial Differential Equations,2015,28(4):305-314.
3Janusz Matkowski (Department of Mathematics,Technical University of Bielsko-Biala 43-309 Bielsko-Biala,Poland)Zhang Weinian (Department of Mathematics,Sichung Union University,East Area,Chengdu 610041,China).Method of Characteristic for Functional Equations in Polynomial Form[J].Acta Mathematica Sinica,English Series,1997,13(3):421-432. 被引量：8
4WU Shaoping (Department of Mathematics, Zhejiang University, Hangzhou 310027, China).A HOMOCLINIC ORBIT FOR LAGRANGIAN SYSTEMS[J].Systems Science and Mathematical Sciences,1995,8(1):75-81.
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10邹永魁,佘彦.Homoclinic Bifurcation Properties near Eight-figure Homoclinic Orbit[J].Northeastern Mathematical Journal,2002,18(1):79-88.

Communications in Theoretical Physics

2002年第5期

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The Homoclinic Orbit Solution for Functional Equation

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