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Dynamical Systems with Applications using Maple™

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,...

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Bibliographic Details
Main Author: Lynch, Stephen
Format: eBook
Language:English
Published: Boston, MA Birkhäuser 2010, 2010
Edition:2nd ed. 2010
Subjects:
Complex Systems
Engineering
Engineering Mathematics
Population Genetics
System Theory
Engineering / Data Processing
Applications Of Mathematics
Mathematics
Technology And Engineering
Differential Equations
Mathematical And Computational Engineering Applications
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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

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