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Bifurcations and Periodic Orbits of Vector Fields

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Cover of 'Bifurcations and Periodic Orbits of Vector Fields'

Table of Contents

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    Book Overview
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    Chapter 1 Complex Foliations Arising from Polynomial Differential Equations
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    Chapter 2 Techniques in the Theory of Local Bifurcations: Blow-Up, Normal Forms, Nilpotent Bifurcations, Singular Perturbations
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    Chapter 3 Six Lectures on Transseries, Analysable Functions and the Constructive Proof of Dulac’s Conjecture
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    Chapter 4 Knots and Orbit Genealogies in Three Dimensional Flows
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    Chapter 5 Dynamical Systems: Some Computational Problems
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    Chapter 6 Local Dynamics and Nonlocal Bifurcations
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    Chapter 7 Singularités d’équations différentielles holomorphes en dimension deux
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    Chapter 8 Techniques in the Theory of Local Bifurcations: Cyclicity and Desingularization
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    Chapter 9 Bifurcation Methods in Polynomial Systems
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    Chapter 10 Algebraic and Geometric Aspects of the Theory of Polynomial Vector Fields
Attention for Chapter 4: Knots and Orbit Genealogies in Three Dimensional Flows
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Chapter title
Knots and Orbit Genealogies in Three Dimensional Flows
Chapter number 4
Book title
Bifurcations and Periodic Orbits of Vector Fields
Published by
Springer, Dordrecht, January 1993
DOI 10.1007/978-94-015-8238-4_4
Book ISBNs
978-9-04-814303-0, 978-9-40-158238-4
Authors

Robert Ghrist, Philip Holmes

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