Cubic and quartic planar differential systems with exact algebraic limit cycles.
Bendjeddou, Ahmed, Cheurfa, Rachid (2011)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Similarity:
Displaying similar documents to “Quadratic systems with homoclinic cycles described by quintic curves.”
Cubic and quartic planar differential systems with exact algebraic limit cycles.
A survey on homoclinic and heterocolinic orbits.
Feng, Beiye, Hu, Rui (2003)
Applied Mathematics E-Notes [electronic only]
Similarity:
Uniqueness of limit cycles bounded by two invariant parabolas
Eduardo Sáez, Iván Szántó (2012)
Applications of Mathematics
Similarity:
In this paper we consider a class of cubic polynomial systems with two invariant parabolas and prove in the parameter space the existence of neighborhoods such that in one the system has a unique limit cycle and in the other the system has at most three limit cycles, bounded by the invariant parabolas.
Global qualitative investigation, limit cycle bifurcations and Applications of Polynomial Dynamical Systems
Gaiko, Valery
Similarity:
Uniqueness of limit cycles for a class of cubic systems with two invariant straight lines.
Xie, Xiangdong, Chen, Fengde, Zhan, Qingyi (2010)
Discrete Dynamics in Nature and Society
Similarity: