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Chaos quasisynchronization induced by impulses with parameter mismatches.

Chuandong Li1, Guanrong Chen, Xiaofeng Liao

  • 1Department of Computer Science, Chongqing University, 400044, People's Republic of China.

Chaos (Woodbury, N.Y.)
|July 11, 2006
PubMed
Summary

This study explores how parameter mismatch affects impulsive synchronization in chaotic systems. A new definition of global quasisynchronization and derived error bounds ensure robust synchronization despite system differences.

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Area of Science:

  • Nonlinear Dynamics
  • Chaos Theory
  • Complex Systems

Background:

  • Coupled chaotic systems exhibit complex behaviors.
  • Parameter mismatch can disrupt synchronized states.
  • Impulsive synchronization is crucial for secure communication and signal processing.

Purpose of the Study:

  • To investigate the impact of parameter mismatch on impulsive synchronization.
  • To introduce and utilize a new definition of global quasisynchronization.
  • To establish conditions for robust synchronization in the presence of parameter uncertainties.

Main Methods:

  • Development of a new definition for global quasisynchronization.
  • Application of linear decomposition and comparison-system methods.
  • Derivation of a global synchronization error bound and a sufficient condition.

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Main Results:

  • A theoretical framework for analyzing quasisynchronization under parameter mismatch was established.
  • A global synchronization error bound was successfully derived.
  • Numerical simulations confirmed the theoretical findings using the chaotic Chua's circuit.

Conclusions:

  • Parameter mismatch significantly influences impulsive synchronization.
  • The proposed global quasisynchronization definition provides a robust measure for system synchrony.
  • The derived conditions ensure reliable synchronization even with parameter uncertainties in chaotic systems.