Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10142475 | Applied Mathematics Letters | 2019 | 7 Pages |
Abstract
We provide an upper bound for the maximum number of limit cycles bifurcating from the periodic solutions of xÌ+x=0, when we perturb this system as follows xÌ+ε(1+cosmθ)Q(x,y)+x=0,where ε>0 is a small parameter, m is an arbitrary non-negative integer, Q(x,y) is a polynomial of degree n and θ=arctan(yâx). The main tool used for proving our results is the averaging theory.
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Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Ting Chen, Jaume Llibre,