Degenerate resonances and their stability in planar systems with small negative divergence

Details Degenerate resonances and their stability in planar systems with small negative divergence Degenerate resonances and their stability in planar systems with small negative divergence

2011-12-17

arxiv.org/abs/1112.4075v1

Mathematics

Dynamical Systems

5 pages

Scientific paper

We consider a conservative system with small periodic perturbations under the
assumption that the divergence of the perturbed system is negative. The main
theorems provide universal sufficient conditions for the existence and
asymptotic stability of periodic solutions that apply regardless of whether the
zeros of the bifurcation function are simple or not.

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