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物理学报. 2005, 54(3): 1084-1091.
doi: 10.7498/aps.54.1084.
基于符号序列描述的一类分段光滑系统中分岔现象与混沌分析
- 收稿日期: 2004-05-31
- 修回日期: 2004-07-19
- 刊出日期: 2005-03-17
English Abstract
Analysis of bifurcation and chaos in a class of piecewise smooth systems based on symbolic sequence
- Received Date:
31 May 2004
- Accepted Date:
19 July 2004
- Published Online:
17 March 2005
Abstract: Based on the sequence of circuit topologies, a symbolic sequence method is proposed for analyzing the bifurcations and chaos in a class of piecewise smooth systems like DC/DC converters. The largest subsequence(LS) is used to distinguish the type of bifurcation and detect border collision bifurcation e. g., when a perioddoubling bifurcation occurs, the LS is unchanged; when border collision bifurcation occurs, the LS is changed; and when chaos occurs,the LS does not exist.It is shown that the duty ratio is an essential variable for describing the nonlinear dynamics of a class of piecewise smooth systems like DC/DC converters， and saturating nonlinearity is the root cause of border collision bifurcation.
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Keywords:
- symbolic sequence /
- bifurcation /
- chaos /
- piecewise smooth system
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