Limit Cycles Of Differential Equations

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Limit Cycles Of Differential Equations

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Author : Colin Christopher
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-08-09

Limit Cycles Of Differential Equations written by Colin Christopher and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-08-09 with Mathematics categories.

This textbook contains the lecture series originally delivered at the "Advanced Course on Limit Cycles of Differential Equations" in the Centre de Rechercha Mathematica Barcelona in 2006. It covers the center-focus problem for polynomial vector fields and the application of abelian integrals to limit cycle bifurcations. Both topics are related to the authors' interests in Hilbert's sixteenth problem, but would also be of interest to those working more generally in the qualitative theory of dynamical systems.

Theory Of Limit Cycles

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Author : Yanqian Ye
language : en
Publisher: American Mathematical Soc.
Release Date : 1986

Theory Of Limit Cycles written by Yanqian Ye and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematics categories.

Deals with limit cycles of general plane stationary systems, including their existence, nonexistence, stability, and uniqueness. This book also discusses the global topological structure of limit cycles and phase-portraits of quadratic systems.

Limit Cycles In Averaged Ordinary Differential Equations

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Author : Peter Gross
language : en
Publisher:
Release Date : 1991

Limit Cycles In Averaged Ordinary Differential Equations written by Peter Gross and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with categories.

Study Of Limit Cycles Of An Autonomous System Of Differential Equations

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Author : Roman Franciszek Matlak
language : en
Publisher:
Release Date : 1971

Study Of Limit Cycles Of An Autonomous System Of Differential Equations written by Roman Franciszek Matlak and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Differential equations categories.

Differential Equations And Dynamical Systems

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Author : Lawrence Perko
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Differential Equations And Dynamical Systems written by Lawrence Perko and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence bf interest in the modern as well as the clas sical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mat!!ematics (TAM). The development of new courses is a natural consequence of a high level of excitement oil the research frontier as newer techniques, such as numerical and symbolic cotnputer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Math ematical Sciences (AMS) series, which will focus on advanced textbooks and research level monographs. Preface to the Second Edition This book covers those topics necessary for a clear understanding of the qualitative theory of ordinary differential equations and the concept of a dynamical system. It is written for advanced undergraduates and for beginning graduate students. It begins with a study of linear systems of ordinary differential equations, a topic already familiar to the student who has completed a first course in differential equations.

Mat Report

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Author :
language : en
Publisher:
Release Date : 1991

Mat Report written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with categories.

Limit Cycles Of Planar Quadratic Differential Equations

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Author : D. E. Koditschek
language : en
Publisher:
Release Date : 1982

Limit Cycles Of Planar Quadratic Differential Equations written by D. E. Koditschek and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with categories.

Since Hilbert posed the problem of systematically counting and locating the limite cycles of polynomial systems on the plane in 1900, much effort has been expended in its investigation. A large body of literature--chiefly by Chinese and Soviet authors--has addressed this question in the context of differential equations whose field is specified by quadratic polynomials. This paper considers the class of quadratic differential equations which admit a unique equilibrium state, and establish sufficient conditions for the existence and uniqueness of limit cycles. The work is based upon insights and techniques developed in an earlier analysis of such systems motivated by questions from mathematical control theory.

On The Number Of Limit Cycles For Some Families Of Planar Differential Equations

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Author : Set Pérez-González
language : en
Publisher:
Release Date : 2012

On The Number Of Limit Cycles For Some Families Of Planar Differential Equations written by Set Pérez-González and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with categories.

Advanced Course On Limit Cycles Of Differential Equations

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Author : Centre de Recerca Matemàtica
language : en
Publisher:
Release Date : 2006

Advanced Course On Limit Cycles Of Differential Equations written by Centre de Recerca Matemàtica and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with categories.

Limit Cycles Of The Generalized Polynomial Li Nard Differential Equations

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Author :
language : en
Publisher:
Release Date : 2008

Limit Cycles Of The Generalized Polynomial Li Nard Differential Equations written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Averaging method (Differential equations) categories.