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Bernardo / Budd / Champneys

Piecewise-Smooth Dynamical Systems

Theory and Applications

Medium: Buch
ISBN: 978-1-84628-039-9
Verlag: Springer
Erscheinungstermin: 15.01.2008
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: 9781846280399
  • Medium: Buch
  • ISBN: 978-1-84628-039-9
  • Verlag: Springer
  • Erscheinungstermin: 15.01.2008
  • Sprache(n): Englisch
  • Auflage: 2008. Auflage 2008
  • Serie: Applied Mathematical Sciences
  • Produktform: Gebunden
  • Gewicht: 1950 g
  • Seiten: 482
  • Format (B x H x T): 163 x 241 x 35 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.