Dynamical Systems with Applications using Mathematica®

Dynamical Systems with Applications using Mathematica®

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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
Autor principal: Lynch, Stephen. author (author)
Formato: Libro electrónico
Idioma:Inglés
Publicado: Boston, MA : Birkhäuser Boston 2007.
Edición:1st ed. 2007.
Materias:
Mathematica (Computer file)
Mathematical analysis.
Analysis (Mathematics).
Applied mathematics.
Engineering mathematics.
Differential equations.
Statistical physics.
Dynamical systems.
Computational intelligence.
Analysis.
Applications of Mathematics.
Ordinary Differential Equations.
Complex Systems.
Mathematical and Computational Engineering.
Computational Intelligence.
Ver en Biblioteca Universitat Ramon Llull:https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009462111006719
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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