標題: | Chaos in a fractional order modified Duffing system |
作者: | Ge, Zheng-Ming Ou, Chan-Yi 機械工程學系 Department of Mechanical Engineering |
公開日期: | 1-十月-2007 |
摘要: | 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 |
期刊: | CHAOS SOLITONS & FRACTALS |
Volume: | 34 |
Issue: | 2 |
起始頁: | 262 |
結束頁: | 291 |
顯示於類別: | 期刊論文 |