Published July 2, 2007
| Version v1
Journal article
Codimension-2 Bautin bifurcation in the Lue system
Creators
- 1. School of Science, Beijing University of Posts and Telecommunications, Beijing 100876 (China)
- 2. Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080 (China)
Description
In this Letter, rigorous mathematical analysis as well as numerical simulations are used to study the codimension-2 Bautin bifurcation in the chaotic Lue system. Parameter conditions for the Bautin bifurcation are specified and analytical expressions of the bifurcation curves are presented. Consequently, parameter regions for the supercritical and subcritical Hopf bifurcations are also derived. The numerical results agree quite well with the analytical ones
Additional details
Identifiers
- DOI
- 10.1016/j.physleta.2007.02.047;
- PII
- S0375-9601(07)00271-X;
Publishing Information
- Journal Title
- Physics Letters. A
- Journal Volume
- 366
- Journal Issue
- 4-5
- Journal Page Range
- p. 442-446
- ISSN
- 0375-9601
- CODEN
- PYLAAG
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 39014139
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- BIFURCATION; CHAOS THEORY; DIAGRAMS; SIMULATION
- Descriptors DEC
- INFORMATION; MATHEMATICS
Optional Information
- Copyright
- Copyright (c) 2007 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.