Dynamical Systems with Applications using Mathematica®

Dynamical Systems with Applications using Mathematica® provides an introduction to the theory of dynamical systems with the aid of the Mathematica computer algebra package. The book has a very hands-on approach and takes the reader from basic theory to recently published research material. Emphasize...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Lynch, Stephen (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2007.
Edición:1st ed. 2007.
Temas:
Mathematical analysis.
Mathematics.
Differential equations.
System theory.
Engineering mathematics.
Engineering-Data processing.
Computational intelligence.
Analysis.
Applications of Mathematics.
Differential Equations.
Complex Systems.
Mathematical and Computational Engineering Applications.
Computational Intelligence.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • A Tutorial Introduction to Mathematica
  • Differential Equations
  • Planar Systems
  • Interacting Species
  • Limit Cycles
  • Hamiltonian Systems, Lyapunov Functions, and Stability
  • Bifurcation Theory
  • Three-Dimensional Autonomous Systems and Chaos
  • Poincaré Maps and Nonautonomous Systems in the Plane
  • Local and Global Bifurcations
  • The Second Part of Hilbert'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
  • Examination-Type Questions
  • Solutions to Exercises.

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