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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 3: Six Lectures on Transseries, Analysable Functions and the Constructive Proof of Dulac’s Conjecture
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