A New Synchronization Principle and Application to Chua's Circuits

نویسندگان

  • Yongai Zheng
  • Zengrong Liu
  • Jin Zhou
چکیده

In the paper we propose a new synchronization principle. To guarantee synchronization between coupled chaotic oscillators, proper coupling constants are selected by the Liapunov stability theory and Hurwitz Theorem. As an example and application, we prove the conjecture [Wu & Chua, 1994] that synchronization between two chaotic Chua’s circuits can be achieved by using the second state as feedback variable for sufficiently large coupling constant.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A New Criterion for Synchronization of Coupled Chaotic Oscillators with Application to Chua’s Circuits

A new criterion is given for choosing the coupling constant in a system of coupled chaotic oscillators to guarantee their synchronization. The criterion is derived from a new observer design methodology based on Lyapunov stability theory. As an example and application, we prove the conjecture that synchronization of two chaotic Chua circuits can be achieved with the second state as the coupling...

متن کامل

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

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...

متن کامل

Synchronization of hyperchaotic circuits using a one-dimensional signal: robustness analysis

– In this paper an approach to achieve synchronization of hyperchaotic circuits using a proper onedimensional signal is presented. The robustness of the proposed synchronization technique to parameter mismatch and to the presence of channel noise is investigated. The approach is effectively applied to hyperchaotic circuits constituted by two bidirectionally coupled Chua's oscillators. Key-Words...

متن کامل

An Adaptive Approach to Synchronization of Two Chua's Circuits

This paper introduces an adaptive control scheme to synchronize two identical Chua’s systems. Introductory part of the paper is presented in the first part of the paper and then in the second part, a new theorem is proposed based on which an adaptive control scheme is developed to synchronize two identical modified Chua’s circuit. Finally, numerical simulations are included to verify the effect...

متن کامل

A New Feedback Technique for Synchronizing Chaotic Chua’s Circuits with x|x| Nonlinearity

− This paper presents a new output feedback technique for synchronizing chaotic circuits. In particular, it is shown that synchronization can be systematically achieved via a scalar signal for a large class of chaotic systems. The approach is successfully applied to the recently proposed Chua’s circuit with x|x| nonlinearity. Key-words: – Chaotic circuits, Synchronization, Feedback techniques, ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • I. J. Bifurcation and Chaos

دوره 12  شماره 

صفحات  -

تاریخ انتشار 2002