Dynamical Systems with Applications using MAPLE

Dynamical Systems with Applications using MAPLE by Stephen Lynch.

"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.&qu...

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Bibliographic Details
Main Author: Lynch, Stephen (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2001.
Edition:1st ed. 2001.
Series:Springer eBook Collection.
Subjects:
Mathematical physics.
Computer mathematics.
Mathematical models.
Applied mathematics.
Engineering mathematics.
Differential equations.
Computational complexity.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • 0 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 Poincaré 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 Liénard 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
  • 18 Fractals
  • 19 Multifractals
  • 20 Controlling Chaos
  • 21 Examination-Type Questions
  • 22 Solutions to Exercises
  • References
  • Textbooks
  • Research Papers.

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