Chaos in a fractional order modified Duffing system

Title:	Chaos in a fractional order modified Duffing system
Authors:	Ge, Zheng-Ming Ou, Chan-Yi 機械工程學系 Department of Mechanical Engineering
Issue Date:	1-Oct-2007
Abstract:	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.
URI:	http://dx.doi.org/10.1016/j.chaos.2005.11.059 http://hdl.handle.net/11536/10271
ISSN:	0960-0779
DOI:	10.1016/j.chaos.2005.11.059
Journal:	CHAOS SOLITONS & FRACTALS
Volume:	34
Issue:	2
Begin Page:	262
End Page:	291
Appears in Collections:	Articles

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