Chaos and Time-Series Analysis

Professor Julien Clinton SprottDepartment of PhysicsUniversity of Wisconsin-Madison1150 University AvenueMadisonWisconsin 53706USATel: 001-608-263-4449Email: sprott@physics.wisc.eduhttp://sprott.physics.wisc.edu/

• 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

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