Domain of attraction of hysteresis-series based chaotic attractors
conference contribution
posted on 2017-12-06, 00:00authored byXinghuo YuXinghuo Yu, Fengling Han, Y Feng, G Chen
This paper discusses the domain of attraction and its sensitivity for a class of chaotic attractors generated by using second-order linear systems with hysteresis-series. It is found that the domain of attraction of the chaotic attractors is determined by an unstable limit cycle. The chaotic dynamical behaviors are demonstrated by using the Poincaré map. The sensitivity of the domain of attraction with respect to the system parameters is studied and some simulation results are presented.
Funding
Category 1 - Australian Competitive Grants (this includes ARC, NHMRC)
History
Parent Title
Complex 2004 : Proceedings of the 7th Asia-Pacific Complex Systems Conference, Cairns Convention Centre, Cairns, Australia, 6-10 December 2004.
Start Page
256
End Page
265
Number of Pages
10
Start Date
2004-01-01
Finish Date
2004-01-01
ISBN-10
1876674962
Location
Cairns, Australia
Publisher
Central Queensland University
Place of Publication
Rockhampton, Qld.
Peer Reviewed
Yes
Open Access
No
External Author Affiliations
City University of Hong Kong; Faculty of Informatics and Communication; Ha'erbin gong ye da xue; Royal Melbourne Institute of Technology (Australia); TBA Research Institute;