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: Bifurcation in Autonomous and Nonautonomous Differential Equations with Discontinuities
  name:
    name part: Akhmet, Marat.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Kashkynbayev, Ardak.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: si
    date issued: 2017
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XI, 166 p. 31 illus., 26 illus. in color. online resource.
  abstract: This book is devoted to bifurcation theory for autonomous and nonautonomous differential equations with discontinuities of different types. That is, those with jumps present either in the right-hand-side or in trajectories or in the arguments of solutions of equations. The results obtained in this book can be applied to various fields such as neural networks, brain dynamics, mechanical systems, weather phenomena, population dynamics, etc. Without any doubt, bifurcation theory should be further developed to different types of differential equations. In this sense, the present book will be a leading one in this field. The reader will benefit from the recent results of the theory and will learn in the very concrete way how to apply this theory to differential equations with various types of discontinuity. Moreover, the reader will learn new ways to analyze nonautonomous bifurcation scenarios in these equations. The book will be of a big interest both for beginners and experts in the field. For the former group of specialists, that is, undergraduate and graduate students, the book will be useful since it provides a strong impression that bifurcation theory can be developed not only for discrete and continuous systems, but those which combine these systems in very different ways. The latter group of specialists will find in this book several powerful instruments developed for the theory of discontinuous dynamical systems with variable moments of impacts, differential equations with piecewise constant arguments of generalized type and Filippov systems. A significant benefit of the present book is expected to be for those who consider bifurcations in systems with impulses since they are presumably nonautonomous systems.
  note: by Marat Akhmet, Ardak Kashkynbayev.
  subject:
    topic: Mathematics
  subject:
    topic: Difference equations
  subject:
    topic: Functional equations
  subject:
    topic: Dynamics
  subject:
    topic: Ergodic theory
  subject:
    topic: Differential equations
  subject:
    topic: Control engineering
  subject:
    topic: Mathematics
  subject:
    topic: Dynamical Systems and Ergodic Theory
  subject:
    topic: Control
  subject:
    topic: Applications of Nonlinear Dynamics and Chaos Theory
  subject:
    topic: Difference and Functional Equations
  subject:
    topic: Ordinary Differential Equations
  classification: QA313
  classification: 515.39
  classification: 515.48
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Nonlinear Physical Science
  identifier: 9789811031809
  identifier: http://dx.doi.org/10.1007/978-981-10-3180-9
  record info:
    record creation date: 170124
    record change date: 20180113022231.0
    record identifier: 978-981-10-3180-9