Title
Roles Of Chaotic Saddle And Basin Of Attraction In Bifurcation And Crisis Analysis
Abstract
This paper is devoted to the dynamical behavior of a parametrically driven double-well Duffing (PDWD) system. Despite the invariant property of symmetry, this simple model exhibits a large diversity of patterns which can be observed in different situations. The transitions between symmetric forms of system responses often lead to bifurcation or crisis and complicated behaviors, such as the coexistence of different kinds of attractors. The bifurcations and crises are discussed, especially those inside the main periodic window. In particular, the role of chaotic saddles and their intrinsic links with the basin of attraction and transient chaos is studied.
Year
DOI
Venue
2011
10.1142/S0218127411028830
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Keywords
DocType
Volume
Chaos, bifurcation, crisis, chaotic saddle, basin of attraction, transient chaos
Journal
21
Issue
ISSN
Citations 
3
0218-1274
1
PageRank 
References 
Authors
0.38
1
5
Name
Order
Citations
PageRank
Ying Zhang152.38
Bruno Rossetto2114.18
Wei Xu310241.51
Xiaole Yue474.02
Tong Fang531.12