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Alien limit cycles in Abel equations.
- Source :
-
Journal of Mathematical Analysis & Applications . Feb2020, Vol. 482 Issue 1, pN.PAG-N.PAG. 1p. - Publication Year :
- 2020
-
Abstract
- The aim of this paper is to study the existence of limit cycles for a family of generalized Abel equations x ′ = A (t) x m + B (t) x n , m , n ≥ 2. Under certain assumptions, it is proved that there exists a non-trivial limit cycle. This limit cycle has the characteristic that it arises from neither a Hopf bifurcation nor a perturbation of periodic orbits in a period annulus around the centre at the origin. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 482
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 139075520
- Full Text :
- https://doi.org/10.1016/j.jmaa.2019.123525