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arXiv · 1611.08113

Global bifurcations of limit cycles in the Kukles cubic system

Valery A. Gaiko
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Abstract

In this paper, using our bifurcational geometric approach, we solve the problem on the maximum number and distribution of limit cycles in the Kukles system representing a planar polynomial dynamical system with arbitrary linear and cubic right-hand sides and having an anti-saddle at the origin. We also apply alternatively the Wintner-Perko termination principle to solve this problem.

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Valery A. Gaiko. 2016-11-24. Global bifurcations of limit cycles in the Kukles cubic system. https://arxiv.org/abs/1611.08113

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