Stephen Lynch
Birkhäuser Boston
2007e druk, 2007
9780817644826
Dynamical Systems with Applications using Mathematica®
Specificaties
Paperback, 484 blz.
|
Engels
Birkhäuser Boston |
2007e druk, 2007
ISBN13: 9780817644826
Rubricering
Levertijd ongeveer 8 werkdagen
Samenvatting
This book 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. Emphasized throughout are numerous applications to biology, chemical kinetics, economics, electronics, epidemiology, nonlinear optics, mechanics, population dynamics, and neural networks. Theorems and proofs are kept to a minimum. The first section deals with continuous systems using ordinary differential equations, while the second part is devoted to the study of discrete dynamical systems.
Specificaties
ISBN13:9780817644826
Taal:Engels
Bindwijze:paperback
Aantal pagina's:484
Uitgever:Birkhäuser Boston
Druk:2007
Inhoudsopgave
Preface
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 David 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
References
Mathematica Program Index
Index
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 David 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
References
Mathematica Program Index
Index