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An introduction to developments in chaos and related topics in nonlinear dynamics, including the detection and quantification of chaos in experimental data, fractals, and complex systems.
Preface; 1. Introduction; 2. One-dimensional maps; 3. Nonchaotic multidimensional flows; 4. Dynamical systems theory; 5. Lyapunov exponents; 6. Strange attractors; 7. Bifurcations; 8. Hamiltonian chaos; 9. Time-series properties; 10. Nonlinear prediction and noise reduction; 11. Fractals; 12. Calculation of fractal dimension; 13. Fractal measure and multifractals; 14. Nonchaotic fractal sets; 15. Spatiotemporal chaos and complexity; A. Common chaotic systems; B. Useful mathematical formulas; C. Journals with chaos and related papers; Bibliography; Index
... comprehensive ... most suitable for systematic study but can also serve as a useful reference work in your library ... an indispensable addition to my bookshelf ... the explanations and support material will fill in the necessary updating of your mathematics ... The extensive and evolving website back-up makes the book unique and even more valuable. It stays up to date as the field evolves. The book is thus perfect for self-instruction, or for use as a classroom textbook, and of course, as a reference work for workers in any field of science. Nonlinear Dynamics in Psychology and Life Sciences