无延迟 RC 移相网络中基于耦合 Chua 电路的预期、完全和滞后同步。

Anticipating, complete and lag synchronizations in RC phase-shift network based coupled Chua's circuits without delay.

机构信息

Centre for Nonlinear Dynamics, Department of Physics, Bharathidasan University, Tiruchirapalli 620024, India.

出版信息

Chaos. 2012 Jun;22(2):023124. doi: 10.1063/1.4711375.

Abstract

We construct a new RC phase shift network based Chua's circuit, which exhibits a period-doubling bifurcation route to chaos. Using coupled versions of such a phase-shift network based Chua's oscillators, we describe a new method for achieving complete synchronization (CS), approximate lag synchronization (LS), and approximate anticipating synchronization (AS) without delay or parameter mismatch. Employing the Pecora and Carroll approach, chaos synchronization is achieved in coupled chaotic oscillators, where the drive system variables control the response system. As a result, AS or LS or CS is demonstrated without using a variable delay line both experimentally and numerically.

摘要

我们构建了一个新的 RC 移相网络基于蔡氏电路，它表现出倍周期分岔通向混沌的道路。使用这样的基于移相网络的蔡氏振荡器的耦合版本，我们描述了一种新的方法来实现完全同步（CS）、近似滞后同步（LS）和近似预见同步（AS），而无需延迟或参数失配。利用 Pecora 和 Carroll 方法，在耦合混沌振荡器中实现了混沌同步，其中驱动系统变量控制响应系统。结果，在实验和数值上都证明了不需要使用可变延迟线就可以实现 AS 或 LS 或 CS。