Sharp upperbounds for the number of large amplitude limit cycles in polynomial lienard sytems

In [1] and [2] upperbounds have been given for the number of large amplitude limit cycles in polynomial Lienard systems of type (m, n) with m < 2n + 1, m and n odd. In the current paper we improve the upperbounds from [1] and [2] by one unity, obtaining sharp results. We therefore introduce the "method of cloning variables" that might be useful in other cyclicity problems.

Publication year:2012

Keywords:Mathematics, Applied, Mathematics, Lienard equation, Limit cycle, Heteroclinic connection, Cyclicity

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Authors from:Higher Education

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