In this article, we study the expansion of the first Melnikov function of a near-Hamiltonian system near a heteroclinic loop with a cusp and a saddle or two cusps, obtaining formulas to compute the first coefficients of the expansion. Then we use the results to study the problem of limit cycle bifur
Bifurcation of limit cycles and the cusp of ordern
โ Scribed by Han Maoan
- Book ID
- 110556371
- Publisher
- Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 1997
- Tongue
- English
- Weight
- 539 KB
- Volume
- 13
- Category
- Article
- ISSN
- 1439-7617
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๐ SIMILAR VOLUMES
A technique is described which has been used extensively to investigate the bifurcation of limit cycles in polynomial differential systems. Its implementation requires a Computer Algebra System, in this case REDUCE. Concentration is on the computational aspects of the work, and a brief resume is giv
Bifurcation of limit cycles from the class \(Q_{3}^{N H}\) of quadratic systems possessing centers is investigated. Bifurcation diagrams for various systems in this class are constructed, and are used to locate systems possessing a period annulus whose closure has cyclicity three. "1995 Acidenic Pre