Published May 2014
| Version v1
Journal article
Bifurcation of limit cycles from a heteroclinic loop with two cusps
Creators
- 1. Department of Mathematics, Shanghai Normal University, Shanghai 200234 (China)
- 2. Department of Mathematics, Swinburne University of Technology, Victoria 3122 (Australia)
Description
In this paper, we study the expansion of the first Melnikov function for general near-Hamiltonian systems near a heteroclinic loop with two cusps of order 1 or 2, obtain the formulas for the first coefficients appearing in the expansion, and establish some bifurcation theorems on the number of limit cycles. We also give some application examples
Availability note (English)
Available from http://dx.doi.org/10.1016/j.chaos.2014.04.003Additional details
Identifiers
- DOI
- 10.1016/j.chaos.2014.04.003;
- PII
- S0960-0779(14)00049-6;
Publishing Information
- Journal Title
- Chaos, Solitons and Fractals
- Journal Volume
- 62-63
- Journal Page Range
- p. 44-54
- ISSN
- 0960-0779
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 46018742
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- BIFURCATION; CALCULATION METHODS; CUSPED GEOMETRIES; FUNCTIONS; HAMILTONIANS; LIMIT CYCLE; MATHEMATICAL SOLUTIONS
- Descriptors DEC
- ATTRACTORS; MAGNETIC FIELD CONFIGURATIONS; MATHEMATICAL OPERATORS; OPEN CONFIGURATIONS; QUANTUM OPERATORS
Optional Information
- Copyright
- Copyright (c) 2014 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.