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Titlebook: Bifurcations and Periodic Orbits of Vector Fields; Dana Schlomiuk Book 1993 Springer Science+Business Media Dordrecht 1993 computer.comput

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Book 1993time new areas of applications of the theory were found. The 31st session of the Seminaire de Mathematiques Superieures (SMS) held at the Universite de Montreal in July 1992 was on dynamical systems having as its center theme "Bifurcations and periodic orbits of vector fields". This session of the S
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1389-2185 the same time new areas of applications of the theory were found. The 31st session of the Seminaire de Mathematiques Superieures (SMS) held at the Universite de Montreal in July 1992 was on dynamical systems having as its center theme "Bifurcations and periodic orbits of vector fields". This sessio
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https://doi.org/10.1007/978-3-031-59551-6e use of Abelian integrals to obtain limit cycles of polynomial systems. We first give an overview of known results with an idea of the methods involved to derive them, and then treat a specific example.
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Techniques in the Theory of Local Bifurcations: Cyclicity and Desingularization,for attacking this question: asymptotic expansion of return maps, ideal of coefficients, desingularization of parametrized families. Moreover, because of their practical interest, we present some partial results obtained by these techniques.
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Bifurcation Methods in Polynomial Systems,e use of Abelian integrals to obtain limit cycles of polynomial systems. We first give an overview of known results with an idea of the methods involved to derive them, and then treat a specific example.
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Techniques in the Theory of Local Bifurcations: Blow-Up, Normal Forms, Nilpotent Bifurcations, Sing but emphasize the different techniques and the precise way they have to be used. These notes are meant to be a helpful guide in struggling through the different research papers they are based on..The material is presented in five chapters and three appendices.
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,Six Lectures on Transseries, Analysable Functions and the Constructive Proof of Dulac’s Conjecture,und the notions of . and .. Then it presents three applications of decreasing generality: (A) The study of . and local objects, mainly singular analytic vector fields and local diffeomorphisms of ℂ.. (B) The construction of the fields of . and ., the latter being essentially the broadest extension o
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Knots and Orbit Genealogies in Three Dimensional Flows,lows. In particular, we examine the genealogy of periodic orbits in the “natural” suspension of the horseshoe diffeomorphism on ... By collapsing along strong stable manifolds, we obtain the ., a branched two-manifold carrying a semiflow which preserves the knot and link data of the original flow. W
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