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Bernardo / Kowalczyk / Budd

Piecewise-smooth Dynamical Systems

Theory and Applications

Medium: Buch
ISBN: 978-1-84996-548-4
Verlag: Springer
Erscheinungstermin: 19.10.2010
Lieferfrist: bis zu 10 Tage

This book presents a coherent framework for understanding the dynamics of piecewise-smooth and hybrid systems. An informal introduction motivates the ubiquity of such models via examples from mechanics, electronics, control theory and physiology. The key concept is that of discontinuity-induced bifurcation, which generalizes diverse phenomena such as grazing, border-collision, sliding, chattering and the period-adding route to chaos. The results are presented in an informal style, illustrated via many examples, both theoretical and experimental. The book is aimed at a wide audience of applied mathematicians, engineers and scientists at the beginning postgraduate level. Almost no mathematical background is assumed other than basic calculus and algebra.


Produkteigenschaften


  • Artikelnummer: 9781849965484
  • Medium: Buch
  • ISBN: 978-1-84996-548-4
  • Verlag: Springer
  • Erscheinungstermin: 19.10.2010
  • Sprache(n): Englisch
  • Auflage: 1. Auflage. Softcover version of original hardcover Auflage 2008
  • Serie: Applied Mathematical Sciences
  • Produktform: Kartoniert, Previously published in hardcover
  • Gewicht: 762 g
  • Seiten: 482
  • Format (B x H x T): 155 x 235 x 28 mm
  • Ausgabetyp: Kein, Unbekannt
Autoren/Hrsg.

Autoren

Qualitative theory of non-smooth dynamical systems.- Border-collision in piecewise-linear continuous maps.- Bifurcations in general piecewise-smooth maps.- Boundary equilibrium bifurcations in flows.- Limit cycle bifurcations in impacting systems.- Limit cycle bifurcations in piecewise-smooth flows.- Sliding bifurcations in Filippov systems.- Further applications and extensions.