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Bifurcation Theory of Impulsive Dynamical Systems


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Table of Contents

Impulsive functional differential equations.- Preliminaries.- General linear systems.- Linear periodic systems.- Nonlinear systems and stability.- Invariant manifold theory.- Smooth bifurcations.- Finite-dimensional ordinary impulsive differential equations.- Preliminaries.- Linear systems.- Stability for nonlinear systems.- Invariant manifold theory.- Bifurcations.- Special topics and applications.- Continuous approximation.- Non-smooth bifurcations.- Bifurcations in models from mathematical epidemiology and ecology.


“This book is more than a textbook and more than a research monograph. It can be considered as a guiding book to be used in both theoretical and applied research of various level (graduate students, post-graduates, senior).” (Vladimir Răsvan, zbMATH 1467.37001, 2021)

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