rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Piecewise-smooth Dynamical Systems
    sub title: Theory and Applications
  name:
    name part: Laurea, Mario di Bernardo.
    role:
      role term: editor.
  name:
    name part: Champneys, Alan R.
    role:
      role term: editor.
  name:
    name part: Budd, Christopher J.
    role:
      role term: editor.
  name:
    name part: Kowalczyk, Piotr.
    role:
      role term: editor.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxk
    date issued: 2008
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XXII, 482 p. online resource.
  abstract: 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.
  table of contents: 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.
  note: edited by Mario di Bernardo Laurea, Alan R. Champneys, Christopher J. Budd, Piotr Kowalczyk.
  subject:
    topic: Mathematics
  subject:
    topic: Mathematical analysis
  subject:
    topic: Analysis (Mathematics)
  subject:
    topic: Dynamics
  subject:
    topic: Ergodic theory
  subject:
    topic: Applied mathematics
  subject:
    topic: Engineering mathematics
  subject:
    topic: Vibration
  subject:
    topic: Dynamical systems
  subject:
    topic: Control engineering
  subject:
    topic: Robotics
  subject:
    topic: Mechatronics
  subject:
    topic: Electrical engineering
  subject:
    topic: Mathematics
  subject:
    topic: Analysis
  subject:
    topic: Dynamical Systems and Ergodic Theory
  subject:
    topic: Control, Robotics, Mechatronics
  subject:
    topic: Vibration, Dynamical Systems, Control
  subject:
    topic: Electrical Engineering
  subject:
    topic: Applications of Mathematics
  classification: QA299.6-433
  classification: 515
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Applied Mathematical Sciences, 163
  identifier: 9781846287084
  identifier: http://dx.doi.org/10.1007/978-1-84628-708-4
  record info:
    record creation date: 100301
    record change date: 20151204144141.0
    record identifier: 978-1-84628-708-4