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Output feedback controlled synchronization problems for a class of nonlinear unstable systems under information constraints imposed by limited capacity of the communication channel are analyzed. A binary time-varying coder-decoder scheme is…

最优化与控制 · 数学 2009-11-13 Alexander L. Fradkov , Boris Andrievsky , Robin J. Evans

In this paper we investigate a master-slave synchronization scheme of two n-dimensional non-autonomous chaotic systems coupled by sinusoidal state error feedback control, where parameter mismatch exists between the external harmonic…

混沌动力学 · 物理学 2009-09-30 Jianping Cai , Mihua Ma , Xiaofeng Wu

In this work, the synchronization problem of a master-slave system of autonomous ordinary differential equations (ODEs) is considered. Here, the systems are, chaotic with a nonlinearity represented by a piecewise linear function,…

混沌动力学 · 物理学 2021-12-16 J. Telenchana , A. Acosta , P. Garcia

Coupling of chaotic oscillators has evidenced conditions where synchronization is possible, therefore a nonlinear system can be driven to a particular state through input from a similar oscillator. Here we expand this concept of control of…

适应与自组织系统 · 物理学 2020-08-18 Robson Vieira , Weliton S. Martins , Sergio Barreiro , Rafael A. de Oliveira , Martine Chevrollier , Marcos Oriá

We present a methodology for synchronization of chaotic oscillators with linear feedback control. The proposed method is based on analyzing the chaotic oscillator as a multi-mode linear system and deriving sufficient conditions for…

混沌动力学 · 物理学 2019-01-24 Keyur Mistry , Sudeshna Dash , Siddharth Tallur

We propose a simple and new unified method to achieve lag, complete and anticipatory synchronizations in coupled nonlinear systems. It can be considered as an alternative to the subsystem and intentional parameter mismatch methods. This…

混沌动力学 · 物理学 2016-04-20 K. Srinivasan , V. K Chandrasekar , R. Gladwin Pradeep , K. Murali , M. Lakshmanan

We demonstrate that a unidirectional coupling between a pattern forming system and its replica induces complete synchronization of the slave to the master system onto a spatiotemporal chaotic state.

混沌动力学 · 物理学 2009-11-11 P. L. Ramazza , U. Bortolozzo , S. Boccaletti

"Synchronization of two dynamical systems" is the term used to describe the phenomenon when two or more systems gradually change their states or behaviors to become similar or identical. This can happen in a lot of fields, such as physics,…

最优化与控制 · 数学 2026-03-24 Vivek Mishra , S. K. Agrawal

We experimentally demonstrate and numerically simulate a new adaptive method to maintain synchronization between coupled nonlinear chaotic oscillators, when the coupling between the systems is unknown and time-varying (e.g., due to…

This note addresses the output synchronization problem of incrementally output-feedback passive nonlinear systems in the presence of exogenous disturbances. Two kinds of distributed controllers are proposed; one placed at the nodes and the…

系统与控制 · 计算机科学 2015-09-15 Hongkeun Kim , Claudio De Persis

In this work we consider two models of two dimensional discrete systems subjected to three different types of coupling and analyse systematically the performance of each in realising synchronised states.We find that linear coupling…

混沌动力学 · 物理学 2009-11-11 G Ambika , K Ambika

This paper provides a unified method for analyzing chaos synchronization of the generalized Lorenz systems. The considered synchronization scheme consists of identical master and slave generalized Lorenz systems coupled by linear state…

混沌动力学 · 物理学 2008-07-15 Xiaofeng Wu , Guanrong Chen , Jianping Cai

A method of targeting engineering synchronization states in two identical and mismatch chaotic systems is explained in details. The method is proposed using linear feedback controller coupling for engineering synchronization such as mixed…

混沌动力学 · 物理学 2015-06-16 Sourav K. Bhowmick , Dibakar Ghosh

Two chaotic systems which interact by mutually exchanging a signal built from their delayed internal variables, can synchronize. A third unit may be able to record and to manipulate the exchanged signal. Can the third unit synchronize to…

混沌动力学 · 物理学 2009-11-13 Ido Kanter , Evi Kopelowitz , Johannes Kestler , Wolfgang Kinzel

We experimentally observe the nonlinear dynamics of an optoelectronic time-delayed feedback loop designed for chaotic communication using commercial fiber optic links, and we simulate the system using delay differential equations. We show…

混沌动力学 · 物理学 2009-08-24 Adam B. Cohen , Bhargava Ravoori , Thomas E. Murphy , Rajarshi Roy

We examine synchronization of identical chaotic systems coupled in a drive/response manner. A rigorous criterion is presented which, if satisfied, guarantees that synchronization to the driving trajectory is linearly stable to…

chao-dyn · 物理学 2009-10-30 Reggie Brown , Nikolai F. Rulkov

Predictive Feedback Control is an easy-to-implement method to stabilize unknown unstable periodic orbits in chaotic dynamical systems. Predictive Feedback Control is severely limited because asymptotic convergence speed decreases with…

适应与自组织系统 · 物理学 2015-03-17 Christian Bick , Christoph Kolodziejski , Marc Timme

Based on the invariance principle of differential equations, a simple adaptive-feedback scheme is proposed to strictly synchronize almost all chaotic systems. Unlike the usual linear feedback, the variable feedback strength is automatically…

混沌动力学 · 物理学 2009-11-10 Debin Huang

This paper focuses on the problem of constructing time-varying feedback laws that asymptotically stabilize a given part of the state variables for nonlinear control-affine systems. It is assumed that the class of systems under consideration…

最优化与控制 · 数学 2021-05-21 Victoria Grushkovskaya , Alexander Zuyev

Based on the principle of chaotification for continuous-time autonomous systems, which relies on two basic properties of chaos, i.e., globally bounded with necessary positive-zero-negative Lyapunov exponents, this paper derives a feasible…

混沌动力学 · 物理学 2016-12-21 Simin Yu , Guanrong Chen
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