TY  - BOOK
AU  - Lynch,Stephen
TI  - Dynamical systems with applications using mathematica
SN  - 9780817644826 (pbk.)
U1  - 515.39 23
PY  - 2007///
CY  - Boston
PB  - Birkhauser
KW  - Differentiable dynamical systems
KW  - Data processing
KW  -  Mathematica (Computer file)
N1  - Includes bibliographical references and index; Preface 
0 A Tutorial Introduction to Mathematica 
1. Differential Equations 
3. Planar Systems 
4. Interacting Species 
5. Limit Cycles 
6. Hamiltonian Systems, Lyapunov Functions, and Stability 
6. Bifurcation Theory 
7. Three-Dimensional Autonomous Systems and Chaos 
8. Poincare Maps and Nonautonomous Systems in the Plane 
9. Local and Global Bifurcations 
10. The Second Part of David Hilbert's Sixteenth Problem 
11. Linear Discrete Dynamical Systems
12. Nonlinear Discrete Dynamical Systems 
13. Complex Iterative Maps 
14. Electromagnetic Waves and Optical Resonators
15. Fractals and Multifractals 
16. Chaos Control and Synchronization 
17. Neural Networks 
18. Examination-Type Questions 
19. Solutions to Exercises 
References 
Mathematica Program Index 
Index
N2  - "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
ER  -