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Displaying similar documents to “On the number of limit cycles in perturbations of a two dimensional nonlinear differential system.”

Disjoint 5-cycles in a graph

Hong Wang (2012)

Discussiones Mathematicae Graph Theory

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We prove that if G is a graph of order 5k and the minimum degree of G is at least 3k then G contains k disjoint cycles of length 5.

Integrability and limit cycles for Abel equations

Jean-Pierre Françoise (2011)

Banach Center Publications

Similarity:

Abel equations are among the most natural ordinary differential equations which have a Godbillon-Vey sequence of length 4. We show that the associated Poincaré mapping can be expressed by iterated integrals with three functions which are solutions of a system of partial differential equations.