Coexistence of small and large amplitude limit cycles of polynomial differential systems of degree four

Eduardo Sáez; Eduardo Stange; Iván Szántó

Displaying similar documents to “Coexistence of small and large amplitude limit cycles of polynomial differential systems of degree four”

Uniqueness of limit cycles bounded by two invariant parabolas

Eduardo Sáez, Iván Szántó (2012)

Applications of Mathematics

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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.

Five limit cycles for a simple cubic system.

Noel G. Lloyd, Jane M. Pearson (1997)

Publicacions Matemàtiques

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We resolve the centre-focus problem for a specific class of cubic systems and determine the number of limit cycles which can bifurcate from a fine focus. We also describe the methods which we have developed to investigate these questions in general. These involve extensive use of Computer Algebra; we have chosen to use REDUCE.

Multimodal cycles with linear map having exactly one fixed point.

Mulvey, Irene (2001)

International Journal of Mathematics and Mathematical Sciences

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Global qualitative investigation, limit cycle bifurcations and Applications of Polynomial Dynamical Systems

Gaiko, Valery

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