Q-S (lag or anticipated) synchronization backstepping scheme in a class of continuous-time hyperchaotic systems--a symbolic-numeric computation approach

First, a Q-S (lag or anticipated) synchronization of continuous-time dynamical systems is defined. Second, based on a backstepping design with one controller, a systematic, concrete, and automatic scheme is developed to investigate the Q-S (lag or anticipated) synchronization between the drive syste...

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Bibliographic Details
Published in:Chaos (Woodbury, N.Y.) Vol. 15; no. 2; p. 23902
Main Author: Yan, Zhenya
Format: Journal Article
Language:English
Published: United States 01.06.2005
Subjects:
Algorithms
Biophysics - methods
Computer Simulation
Computers
Models, Statistical
Models, Theoretical
Nonlinear Dynamics
Software
Systems Analysis
Systems Theory
Time
Time Factors
ISSN:1054-1500
Online Access:Get more information
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Summary:First, a Q-S (lag or anticipated) synchronization of continuous-time dynamical systems is defined. Second, based on a backstepping design with one controller, a systematic, concrete, and automatic scheme is developed to investigate the Q-S (lag or anticipated) synchronization between the drive system and response system with a strict-feedback form. Two identical hyperchaotic Tamasevicius-Namajunas-Cenys(TNC) systems as well as the hyperchaotic TNC system and hyperchaotic Rossler system are chosen to illustrate the proposed scheme. Numerical simulations are used to verify the effectiveness of the proposed scheme. The scheme can also be extended to study Q-S (lag or anticipated) synchronization between other dynamical systems with strict-feedback forms. With the aid of symbolic-numeric computation, the scheme can be performed to yield automatically the scalar controller in computer.
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ISSN:1054-1500
DOI:10.1063/1.1876612