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
    name part: 1964-
    role:
      role term: creator
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: mau
    date issued: 2001
    issuance: monographic
  language:
    language term: eng
  physical description:
    reformatting quality: preservation
    reformatting quality: access
    form: remote
    extent: 1 online resource (xiii, 398 pages) : illustrations
  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, Grbner 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 authors website. Additional applications and further links of interest may be found at Maplesofts Application Center. Dynamical Systems with Applications using Maple is aimed at senior undergraduates, graduate students, and…
  table of contents: A Tutorial Introduction to Maple -- 1. Differential Equations -- 2. Linear Systems in the Plane -- 3. Nonlinear Systems in the Plane -- 4. Interacting Species -- 5. Limit Cycles -- 6. Hamiltonian Systems, Lyapunov Functions, and Stability -- 7. Bifurcation Theory -- 8. Three-Dimensional Autonomous Systems and Chaos -- 9. Poincare Maps and Nonautonomous Systems in the Plane -- 10. Local and Global Bifurcations -- 11. The Second Part of David Hilbert's Sixteenth Problem -- 12. Limit Cycles of Lienard Systems -- 13. Linear Discrete Dynamical Systems -- 14. Nonlinear Discrete Dynamical Systems -- 15. Complex Iterative Maps -- 16. Electromagnetic Waves and Optical Resonators -- 17. Analysis of Nonlinear Optical Resonators.
  note: Stephen Lynch.
  note: Electronic resource.
  note: Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL
  note: digitized 2011 HathiTrust Digital Library committed to preserve pda MiAaHDL
  note: Includes bibliographical references and index.
  subject:
    title info:
      title: Maple (Computer file)
  subject:
    title info:
      title: Maple (Fichier informatique)
  subject:
    title info:
      title: Maple (Computer file)
  subject:
    topic: Differentiable dynamical systems
    topic: Data processing
  subject:
    topic: Dynamique différentiable
    topic: Informatique
  subject:
    topic: Analise Matematica
  subject:
    topic: Equações diferenciais ordinárias
  subject:
    topic: Teoria qualitativa
  subject:
    topic: Teoria da bifurcação (sistemas dinâmicos)
  subject:
    topic: Maple <Programm>
  subject:
    topic: Dynamisches System
  subject:
    topic: Differentiable dynamical systems
    topic: Data processing
  classification: QA614.8 .L96 2001
  classification: 515/.352
  classification: SK 950
  classification: ST 315
  classification: ST 601 M25
  related item:
    identifier: (DLC) 00051905
    identifier: (OCoLC)45230434
  identifier: 9781489928498 (electronic bk.)
  identifier: 1489928499 (electronic bk.)
  identifier: 0817641505 (acid-free paper)
  identifier: 9780817641504 (acid-free paper)
  identifier: 3764341505
  identifier: 9783764341503
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: OCLCE
    record creation date: 120920
    record change date: 20260420213451.6
    record identifier: in00003551312
    language of cataloging:
      language term: eng