Controlling Discrete-Time Chaotic Systems

1992 ◽  
Author(s):  
Xiaoning Dong ◽  
Guanrong Chen
Keyword(s):  
Discrete Time ◽  
Chaotic Systems

scholarly journals Synchronization of Discrete-Time Chaotic Systems in Bandlimited Channels

2009 ◽  
Vol 2009 ◽  
pp. 1-12 ◽  
Author(s):  
Marcio Eisencraft ◽  
Renato D. Fanganiello ◽  
Luiz A. Baccala
Keyword(s):  
Discrete Time ◽  
Digital Filter ◽  
Feedback Loop ◽  
Chaotic Systems ◽  
Signal Propagation ◽  
Slave System ◽  
Spectral Content ◽  
Channel Bandwidth ◽  
System Synchronization ◽  
Transmitted Signal

Over the last couple of decades, many methods for synchronizing chaotic systems have been proposed with communications applications in view. Yet their performance has proved disappointing in face of the nonideal character of usual channels linking transmitter and receiver, that is, due to both noise and signal propagation distortion. Here we consider a discrete-time master-slave system that synchronizes despite channel bandwidth limitations and an allied communication system. Synchronization is achieved introducing a digital filter that limits the spectral content of the feedback loop responsible for producing the transmitted signal.

Discrete-Time Memristor Model for Enhancing Chaotic Complexity and Application in Secure Communication

2022 ◽  
Author(s):  
Wenhao Yan ◽  
Zijing Jiang ◽  
Qun Ding
Keyword(s):  
Fixed Points ◽  
Discrete Time ◽  
Dynamic Characteristics ◽  
Secure Communication ◽  
Chaotic Systems ◽  
Two Dimensional ◽  
Initial State ◽  
One Dimensional ◽  
Backward Euler ◽  
Short Period

Abstract The physical implementation of continuoustime memristor makes it widely used in chaotic circuits, whereas discrete-time memristor has not received much attention. In this paper, the backward-Euler method is used to discretize TiO2 memristor model, and the discretized model also meets the three fingerprinter characteristics of the generalized memristor. The short period phenomenon and uneven output distribution of one-dimensional chaotic systems affect their applications in some fields, so it is necessary to improve the dynamic characteristics of one-dimensional chaotic systems. In this paper, a two-dimensional discrete-time memristor model is obtained by linear coupling the proposed TiO2 memristor model and one-dimensional chaotic systems. Since the two-dimensional model has infinite fixed points, the stability of these fixed points depends on the coupling parameters and the initial state of the discrete TiO2 memristor model. Furthermore, the dynamic characteristics of one-dimensional chaotic systems can be enhanced by the proposed method. Finally, we apply the generated chaotic sequence to secure communication.

A new contribution for the impulsive synchronization of fractional-order discrete-time chaotic systems

2017 ◽  
Vol 90 (3) ◽  
pp. 1519-1533 ◽  
Author(s):  
Ouerdia Megherbi ◽  
Hamid Hamiche ◽  
Saïd Djennoune ◽  
Maamar Bettayeb
Keyword(s):  
Fractional Order ◽  
Discrete Time ◽  
Chaotic Systems ◽  
Impulsive Synchronization
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