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πŸ“

An Introduction to Piecewise Smooth Dynamics

✍ Scribed by Paul Glendinning, Mike R. Jeffrey, Elena Bossolini, J. Tomàs LÑzaro, Josep M. Olm

Publisher
Springer International Publishing;BirkhΓ€user
Year
2019
Tongue
English
Leaves
134
Series
Advanced Courses in Mathematics - CRM Barcelona
Edition
1st ed. 2019
Category
Library
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✦ Synopsis

This book is aimed at mathematicians, scientists, and engineers, studying models that involve a discontinuity, or studying the theory of nonsmooth systems for its own sake. It is divided in two complementary courses: piecewise smooth flows and maps, respectively. Starting from well known theoretical results, the authors bring the reader into the latest challenges in the field, going through stability analysis, bifurcation, singularities, decomposition theorems and an introduction to kneading theory. Both courses contain many examples which illustrate the theoretical concepts that are introduced.

✦ Table of Contents

Front Matter ....Pages i-viii
Piecewise-smooth Flows (Paul Glendinning, Mike R. Jeffrey)....Pages 3-53
Piecewise-smooth Maps (Paul Glendinning, Mike R. Jeffrey)....Pages 55-121
Back Matter ....Pages 123-129

✦ Subjects

Mathematics; Ordinary Differential Equations; Dynamical Systems and Ergodic Theory

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