On the number of limit cycles of polynomial Lienard systems

Details On the number of limit cycles of polynomial Lienard systems On the number of limit cycles of polynomial Lienard systems

2011-09-29

arxiv.org/abs/1109.6470v1

Mathematics

Classical Analysis and ODEs

This paper was submitted to Nonlinear Analysis: Real World Applications

Scientific paper

Lienard systems are very important mathematical models describing oscillatory processes arising in applied sciences. In this paper, we study polynomial Lienard systems of arbitrary degree on the plane, and develop a new method to obtain a lower bound of the maximal number of limit cycles. Using the method and basing on some known results for lower degree we obtain new estimations of the number of limit cycles in the systems which greatly improve existing results.

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