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.

Jaar van publicatie:2012

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

BOF-keylabel:ja

IOF-keylabel:ja

BOF-publication weight:1

CSS-citation score:1

Authors from:Higher Education

Toegankelijkheid:Closed