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PERIODIC SOLUTIONS IN ONE-DIMENSIONAL COUPLED MAP LATTICES
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作者 郑永爱 刘曾荣 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2003年第5期521-526,共6页
It is proven that the existence of nonlinear solutions with time period in one-dimensional coupled map lattice with nearest neighbor coupling. This is a class of systems whose behavior can be regarded as infinite arra... It is proven that the existence of nonlinear solutions with time period in one-dimensional coupled map lattice with nearest neighbor coupling. This is a class of systems whose behavior can be regarded as infinite array of coupled oscillators. A method for estimating the critical coupling strength below which these solutions with time period persist is given. For some particular nonlinear solutions with time period,exponential decay in space is proved. 展开更多
关键词 coupled map lattice nonlinear periodic solution anti-integrable limit logistic map
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On Chaotification of Discrete Lagrange Systems
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作者 LI Guang-Cheng YUE Bao-Zeng 《Communications in Theoretical Physics》 SCIE CAS CSCD 2006年第5期861-863,共3页
This paper is concerned with chaotification of discrete Lagrange systems in one dimension, via feedback control techniques. A chaotification theorem for discrete Lagrange systems is established. The controlled systems... This paper is concerned with chaotification of discrete Lagrange systems in one dimension, via feedback control techniques. A chaotification theorem for discrete Lagrange systems is established. The controlled systems are proved to be chaotic in the sense of Devaney. In particular, the systems corresponding to the original systems and designed controllers are only required to satisfy, some mild assumptions. 展开更多
关键词 discrete Lagrange systems CHAOTIFICATION anti-integrable limit
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On Chaotification of Discrete Hamilton Systems
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作者 李广成 解加芳 岳宝增 《Journal of Beijing Institute of Technology》 EI CAS 2007年第1期1-4,共4页
The chaotification problem of discrete Hamilton systems in one dimensional space is investigated and corresponding chaotification theorem is established. Feedback control techniques is used to make arbitrary discrete ... The chaotification problem of discrete Hamilton systems in one dimensional space is investigated and corresponding chaotification theorem is established. Feedback control techniques is used to make arbitrary discrete Hamilton systems chaotic, or enhance its existing chaotic behaviors. By designing a universal controller and combining anti-integrable limit it is proved that chaos of the controlled systems is in the sense of Devaney. In particular, the systems corresponding to the original systems and designed controllers are only required to satisfy some mild assumptions. Moreover, the range of the coefficient of the controller is given. 展开更多
关键词 discrete Hamilton systems CHAOTIFICATION anti-integrable limit
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Anti-integrability for the Logistic Maps
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作者 Yi-Chiuan CHEN 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2007年第2期219-224,共6页
The embedding of the Bernoulli shift into the logistic map x→μx(1 - x) for μ 〉 4 is reinterpreted by the theory of anti-integrability: it is inherited from the anti-integrable limit μ→∞.
关键词 Logistic maps HYPERBOLICITY Symbolic dynamics anti-integrable limit
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DYNAMICS IN A CLASS OF NEURON MODELS
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作者 Wang Junping (Dept. of Math. and Physics, Shanghai University of Electric Power, Shanghai 200090) Ruan Jiong (School of Math. Sciences, Fudan University, Shanghai 200433) 《Annals of Differential Equations》 2009年第1期67-73,共7页
In this paper, we investigate the dynamics in a class of discrete-time neuron mod-els. The neuron model we discussed, defined by such periodic input-output mapping as a sinusoidal function, has a remarkably larger mem... In this paper, we investigate the dynamics in a class of discrete-time neuron mod-els. The neuron model we discussed, defined by such periodic input-output mapping as a sinusoidal function, has a remarkably larger memory capacity than the conven-tional association system with the monotonous function. Our results show that the orbit of the model takes a conventional bifurcation route, from stable equilibrium, to periodicity, even to chaotic region. And the theoretical analysis is verified by numerical simula... 展开更多
关键词 discrete-time neuron model periodic activation function periodic-doubling bifurcation anti-integrable limit method CHAOS
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