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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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Rami G. Khouri,Karim Makdisi,Martin Wählischund 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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https://doi.org/10.1057/9781137530820 are many technical details which are not fully discussed. The topics are chosen to demonstrate the various interactions between numerical computation and mathematical theory in the area of dynamical systems. We present an algorithm for the computation of stable manifolds of equilibrium points, desc
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My Neighbour and My Neighbours,on . = 0 are the leaves of a holomorphic foliation .. of . {.}. In the seventies, R. Thom asked very interesting questions about these objects. They are now well understood. This work is mainly devoted to proving the following: . = 0 has a holomorphic first integral if and only .. has a finite numb
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https://doi.org/10.1007/978-3-031-59551-6 problem for quadratic vector fields by means of analytic methods and we discuss the progress made in that direction. In the second part we discuss the 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 involv
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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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Book 1993 together methods from real and complex dy­ namical systems. There is a growing awareness that an interplay between real and complex methods is both useful and necessary for the solution of some of the problems. Complex techniques become powerful tools which yield valuable information when applied t
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