Browsing by Author "Ou, Chan-Yi"

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Chaos in a fractional order modified Duffing system
(2007-10-01)
Ge, Zheng-Ming
;
Ou, Chan-Yi
;
機械工程學系
;
Department of Mechanical Engineering
in this paper, the chaotic behaviors in a fractional order modified Duffing system are studied numerically by phase portraits, Poincare maps and bifurcation diagrams. Linear transfer function approximations of the fractional integrator block are calculated for a set of fractional orders in (0, 1], based on frequency domain arguments. The total system orders found for chaos to exist in such systems are 1.8, 1.9, 2.0 and 2.1. (c) 2005 Elsevier Ltd. All rights reserved.
Chaos synchronization of fractional order modified duffing systems with parameters excited by a chaotic signal
(2008-02-01)
Ge, Zheng-Ming
;
Ou, Chan-Yi
;
機械工程學系
;
Department of Mechanical Engineering
In this paper, chaos synchronizations of two uncoupled fractional order chaotic modified Duffing systems are obtained. By replacing their corresponding parameters by the same function of chaotic state variables of a third chaotic system, chaos synchronization can be obtained. The method is named parameter excited chaos synchronization which can be successfully obtained for very low total fractional order 0.2. Numerical simulations are illustrated by phase portrait, Poincare map and state error plots. (c) 2006 Published by Elsevier Ltd.