Dynamical systems with applications using mathematica /
xv, 484 p. : ill. ; 24 cm. Content notes : 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. Mathematica (Computer file)
