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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SUMMARY OR ABSTRACT
Text of Note
"The book is intended for senior undergraduate and graduate students as well as working scientists in applied mathematics, the natural sciences, and engineering, Many chapters of the book are especially useful as reference material for senior undergraduate independent project work."--Jacket.
ACQUISITION INFORMATION NOTE
Source for Acquisition/Subscription Address
Springer
Stock Number
978-0-8176-4482-6
OTHER EDITION IN ANOTHER MEDIUM
Title
Dynamical systems with applications using mathematica.
International Standard Book Number
0817644822
TITLE USED AS SUBJECT
Mathematica (Computer file)
Mathematica (Computer file)
TOPICAL NAME USED AS SUBJECT
Differentiable dynamical systems-- Data processing.
Differentiable dynamical systems-- Data processing.