Dynamical Systems with Applications using Python

This textbook provides a broad introduction to continuous and discrete dynamical systems. With its hands-on approach, the text leads the reader from basic theory to recently published research material in nonlinear ordinary differential equations, nonlinear optics, multifractals, neural networks, an...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
1. Verfasser: Lynch, Stephen (VerfasserIn)
Format: Elektronisch E-Book
Sprache:Englisch
Veröffentlicht: Cham : Springer International Publishing, 2018.
Ausgabe:1st ed. 2018.
Schlagworte:
Dynamics.
Ergodic theory.
Statistical physics.
Dynamical systems.
Differential equations.
Applied mathematics.
Engineering mathematics.
ISBN:9783319781457
Online-Zugang: Volltext
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Inhaltsangabe:
  • Preface
  • A Tutorial Introduction to Python
  • 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
  • Delay Differential Equations
  • Linear Discrete Dynamical Systems
  • Nonlinear Discrete Dynamical Systems
  • Complex Iterative Maps
  • Electromagnectic Waves and Optical Resonators
  • Fractals and Multifractals
  • Image Processing with Python
  • Chaos Control and Synchronization
  • Neural Networks
  • Binary Oscillator Computing
  • Coursework and Examination-Type Questions
  • Solutions to Exercises
  • Index of Python Programs
  • Index.

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