WorldCat Linked Data Explorer

Turtle N-Triple JSON-LD RDF/XML HTML Contact Us Home

http://worldcat.org/entity/work/id/866282429

Piecewise-smooth dynamical systems theory and applications

Open All Close All

type

about

http://schema.org/about

author

contributor

creator

description

http://schema.org/description

  • ""The primary purpose of this book is to present a coherent framework for understanding the dynamics of piecewise-smooth and hybrid systems. An informal introduction asserts the ubiquity of such models with examples drawn from mechanics, electronics, control theory and physiology. The main thrust is to classify complex behavior via bifurcation theory in a systematic yet applicable way. The key concept is that of a 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 and illustrated with examples, both theoretical and experimental." "Aimed at a wide audience of applied mathematicians, engineers and scientists at the early postgraduate level, the book assumes only the standard background of basic calculus and linear algebra for most of the presentation and will be a resource for students and researchers."--Jacket."
  • "Traditional analysis of dynamical systems has restricted its attention to smooth problems, but it has become increasingly clear that there are distinctive phenomena unique to discontinuous systems that can be analyzed mathematically but which fall outside the usual methodology for smooth dynamical systems. The primary purpose of this book is to present a coherent framework for understanding the dynamics of piecewise-smooth and hybrid systems. An informal introduction asserts the ubiquity of such models with examples drawn from mechanics, electronics, control theory and physiology. The main thrust is to classify complex behavior via bifurcation theory in a systematic yet applicable way. The key concept is that of a 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 and illustrated with copious examples, both theoretical and experimental. Aimed at a wide audience of applied mathematicians, engineers and scientists at the early postgraduate level, the book assumes only the standard background of basic calculus and linear algebra for most of the presentation and will be an indispensable resource for students and researchers. The inclusion of a comprehensive bibliography and many open questions will also serve as a stimulus for future research."
  • "Introduces a framework for understanding the dynamics of piecewise-smooth and hybrid systems. This work presents an introduction, which asserts the ubiquity of such models with examples drawn from mechanics, electronics, control theory and physiology. It classifies complex behavior via bifurcation theory in a systematic yet applicable way."

genre

http://schema.org/genre

  • "Electronic books"
  • "Electronic books"@en

name

http://schema.org/name

  • "Piecewise-smooth dynamical systems: theory and applications"
  • "Piecewise-smooth Dynamical Systems : Theory and Applications"
  • "Piecewise-smooth dynamical systems theory and applications"@en
  • "Piecewise-smooth dynamical systems theory and applications"
  • "Piecewise-smooth dynamical systems : theory and applications"
  • "Piecewise-smooth dynamical systems : theory and applications"@en
  • "Piecewise-smooth Dynamical Systems Theory and Applications"@en
  • "Piecewise-smooth Dynamical Systems Theory and Applications"

workExample