Uniqueness of limit cycles bounded by two invariant parabolas

Eduardo Sáez; Iván Szántó

Displaying similar documents to “Uniqueness of limit cycles bounded by two invariant parabolas”

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

Eduardo Sáez, Eduardo Stange, Iván Szántó (2007)

Czechoslovak Mathematical Journal

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A class of degree four differential systems that have an invariant conic $x^{2} + C y^{2} = 1$ , $C \in ℝ$ , is examined. We show the coexistence of small amplitude limit cycles, large amplitude limit cycles, and invariant algebraic curves under perturbations of the coefficients of the systems.

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.

Existence and distribution of limit cycles in a Hamiltonian system.

Tigan, Gheorghe (2006)

Applied Mathematics E-Notes [electronic only]

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

Gaiko, Valery

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