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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"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.
Springer
978-0-8176-4482-6
Dynamical systems with applications using mathematica.
0817644822
Mathematica (Computer file)
Mathematica (Computer file)
Differentiable dynamical systems-- Data processing.
Differentiable dynamical systems-- Data processing.