Published April 2006 | Version v1
Journal article Metadata-only

Global synchronization of two parametrically excited systems using active control

Creators

  • 1. Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072 (China)
  • 2. Department of Engineering Mechanics, Northwestern Polytechnical University, Xi'an 710072 (China)

Description

In this paper, we apply an active control technique to synchronize a kind of two parametrically excited chaotic systems. Based on Lyapunov stability theory and Routh-Hurwitz criteria, some generic sufficient conditions for global asymptotic synchronization are obtained. Illustrative examples on synchronization of two Duffing systems subject to a harmonic parametric excitation and that of two parametrically excited chaotic pendulums are considered here. Numerical simulations show the validity and feasibility of the proposed method

Additional details

Identifiers

DOI
10.1016/j.chaos.2005.05.043;
PII
S0960-0779(05)00552-7;

Publishing Information

Journal Title
Chaos, Solitons and Fractals
Journal Volume
28
Journal Issue
2
Journal Page Range
p. 428-436
ISSN
0960-0779

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
37003630
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
CHAOS THEORY; COMPUTERIZED SIMULATION; CONTROL THEORY; LYAPUNOV METHOD; STABILITY; SYNCHRONIZATION
Descriptors DEC
CALCULATION METHODS; MATHEMATICS; SIMULATION

Optional Information

Copyright
Copyright (c) 2005 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.