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SEVEN LARGE-AMPLITUDE LIMIT CYCLES IN A CUBIC POLYNOMIAL SYSTEM.
- Source :
- International Journal of Bifurcation & Chaos in Applied Sciences & Engineering; Feb2006, Vol. 16 Issue 2, p473-485, 13p
- Publication Year :
- 2006
-
Abstract
- In this paper, the problem of limit cycles bifurcated from the equator for a cubic polynomial system is investigated. The best result so far in the literature for this problem is six limit cycles. By using the method of singular point value, we prove that a cubic polynomial system can bifurcate seven limit cycles from the equator. We also find that a rational system has an isochronous center at the equator. [ABSTRACT FROM AUTHOR]
- Subjects :
- BIFURCATION theory
POLYNOMIALS
LIMIT cycles
DIFFERENTIABLE dynamical systems
PHYSICS
Subjects
Details
- Language :
- English
- ISSN :
- 02181274
- Volume :
- 16
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- International Journal of Bifurcation & Chaos in Applied Sciences & Engineering
- Publication Type :
- Academic Journal
- Accession number :
- 20492312
- Full Text :
- https://doi.org/10.1142/S0218127406014940