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Introduction to Chaos

Author: Prof: Michael Cross
Url: http://www.cmp.caltech.edu/~mcc/Chaos_Course/Outline.html
Format: Pdf
Category: Chaos Theory
Pages: 300
Clicks: 194

Contents: 1. Lorenz Model: an introduction to chaos; 2. The Pendulum: the language of dynamical systems; 3. Nonlinear Oscillators: quasiperiodicity and frequency locking; 4. One Dimensional Maps; 5. Two Dimensional Maps; 6. Power Spectrum; 7. Lyapunov Exponents; 8. Information and Entropy; 9. Dimensions; 10. Multifractals; 11. Reconstructing the Attractor; 12. Experimental Systems; 13. Bifurcation Theory; 14. Bifurcations in Maps with a Quadratic Maximum; 15. Pictorial Renormalization Group; 16. Renormalization Group Theory; 17. Advanced Topics; 18. Driven Pendulum and the 2d Circle Map; 19. 1d Circle Map; 20. Universal Breakdown from Quasiperiodicity to Chaos; 21. Ruelle and Takens Theorem; * 22. Mathematical Chaos; 23. Predicting Chaos; 24. Controlling Chaos; 25. Applications of Chaos; 26. Shadowing; 27. Hamiltonian Chaos: Introduction; 28. Hamiltonian Chaos: Theory; 29. Quantum Chaos.

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