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: Dynamical Systems with Applications using Maple¿
  name:
    name part: Lynch, Stephen.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxu
    date issued: 2010
    edition: 2.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XVIII, 500 p. 216 illus. online resource.
  abstract: "The text treats a remarkable spectrum of topics and has a little for everyone. It can serve as an introduction to many of the topics of dynamical systems, and will help even the most jaded reader, such as this reviewer, enjoy some of the interactive aspects of studying dynamics using Maple." —UK Nonlinear News (Review of First Edition) "The book will be useful for all kinds of dynamical systems courses…. [It] shows the power of using a computer algebra program to study dynamical systems, and, by giving so many worked examples, provides ample opportunity for experiments. … [It] is well written and a pleasure to read, which is helped by its attention to historical background." —Mathematical Reviews (Review of First Edition) Since the first edition of this book was published in 2001, Maple™ has evolved from Maple V into Maple 13. Accordingly, this new edition has been thoroughly updated and expanded to include more applications, examples, and exercises, all with solutions; two new chapters on neural networks and simulation have also been added. There are also new sections on perturbation methods, normal forms, Gröbner bases, and chaos synchronization. The work provides an introduction to the theory of dynamical systems with the aid of Maple. The author has emphasized breadth of coverage rather than fine detail, and theorems with proof are kept to a minimum. Some of the topics treated are scarcely covered elsewhere. Common themes such as bifurcation, bistability, chaos, instability, multistability, and periodicity run through several chapters. The book has a hands-on approach, using Maple as a pedagogical tool throughout. Maple worksheet files are listed at the end of each chapter, and along with commands, programs, and output may be viewed in color at the author’s website. Additional applications and further links of interest may be found at Maplesoft’s Application Center. Dynamical Systems with Applications using Maple is aimed at senior undergraduates, graduate stud…
  table of contents: A Tutorial Introduction to Maple -- Differential Equations -- Planar Systems -- Interacting Species -- Limit Cycles -- Hamiltonian Systems, Lyapunov Functions, and Stability -- Bifurcation Theory -- Three-Dimensional Autonomous Systems and Chaos -- Poincar#x00E9; Maps and Nonautonomous Systems in the Plane -- Local and Global Bifurcations -- The Second Part of Hilbert#x2019;s Sixteenth Problem -- Linear Discrete Dynamical Systems -- Nonlinear Discrete Dynamical Systems -- Complex Iterative Maps -- Electromagnetic Waves and Optical Resonators -- Fractals and Multifractals -- Chaos Control and Synchronization -- Neural Networks -- Simulation -- Examination-Type Questions -- Solutions to Exercises.
  note: by Stephen Lynch.
  subject:
    topic: Mathematics
  subject:
    topic: Differential equations
  subject:
    topic: Applied mathematics
  subject:
    topic: Engineering mathematics
  subject:
    topic: Biomathematics
  subject:
    topic: Statistical physics
  subject:
    topic: Dynamical systems
  subject:
    topic: Engineering
  subject:
    topic: Mathematics
  subject:
    topic: Applications of Mathematics
  subject:
    topic: Appl.Mathematics/Computational Methods of Engineering
  subject:
    topic: Ordinary Differential Equations
  subject:
    topic: Genetics and Population Dynamics
  subject:
    topic: Statistical Physics, Dynamical Systems and Complexity
  subject:
    topic: Engineering, general
  classification: T57-57.97
  classification: 519
  related item:
    title info:
      title: Springer eBooks
  identifier: 9780817646059
  identifier: http://dx.doi.org/10.1007/978-0-8176-4605-9
  record info:
    record creation date: 100301
    record change date: 20151111193243.0
    record identifier: 978-0-8176-4605-9