منابع مشابه
Bifurcation of limit cycles at degenerate singular point and in“nity in a septic system
In this paper, the problem of bifurcation of limit cycles from degenerate singular point and infinity in a class of septic polynomial differential systems is investigated. Using the computer algebra system Mathematica, the limit cycle configurations of {(8), 3} and {(3), 6} are obtained under synchronous perturbation at degenerate singular point and infinity. To our knowledge, up to now, this i...
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The period annuli of the planar vector field x′ = −yF (x, y), y′ = xF (x, y), where the set {F (x, y) = 0} consists of k different isolated points, is defined by k + 1 concentric annuli. In this paper we perturb it with polynomials of degree n and we study how many limit cycles bifurcate, up to a first order analysis, from all the period annuli simultaneously in terms of k and n. Additionally, ...
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Testing if a given graph G contains the k-vertex path Pk as a minor or as an induced minor is trivial for every fixed integer k ≥ 1. However, the situation changes for the problem of checking if a graph can be modified into Pk by using only edge contractions. In this case the problem is known to be NP-complete even if k = 4. This led to an intensive investigation for testing contractibility on ...
متن کاملBifurcation of Limit Cycles via Averaging Theory
We study the bifurcation of limit cycles from the periodic orbits of a four-dimensional center in a class of piecewise linear differential systems. Our main result shows that three is an upper bound for the number of limit cycles that bifurcate from a center, up to first order expansion of the displacement function. Moreover, this upper bound is reached. The main technique used is the Averaging...
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ژورنال
عنوان ژورنال: Annales scientifiques de l'École normale supérieure
سال: 1995
ISSN: 0012-9593,1873-2151
DOI: 10.24033/asens.1731