A pioneer in the field of dynamical systems discusses one-dimensional dynamics, differential equations, random walks, iterated function systems, symbolic dynamics, and Markov chains. Supplementary materials include PowerPoint slides and MATLAB exercises. 2010 edition.
A pioneer in the field of dynamical systems discusses one-dimensional dynamics, differential equations, random walks, iterated function systems, symbolic dynamics, and Markov chains. Supplementary materials include PowerPoint slides and MATLAB exercises. 2010 edition.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Shlomo Sternberg is a leading mathematician known for his work in geometry. A former Guggenheim Fellow at Harvard, he has written several undergraduate texts. Sternberg is a member of the National Academy of Science and the American Philosophical Society.
Inhaltsangabe
1. Iteration and fixed points 2. Bifurcations 3. Sarkovsky's theorem, Singer's theorem, intermittency 4. Conjugacy 5. Space and time averages 6. The contraction fixed point theorem 7. The Hausdorff metric and Hutchinson's theorem 8. Hyperbolicity 9. The Perron-Frobenius theorem 10. Some topics in ordinary differential equations 11. Lotka-Volterra 12. Symbolic dynamics Bibliography Index
1. Iteration and fixed points 2. Bifurcations 3. Sarkovsky's theorem, Singer's theorem, intermittency 4. Conjugacy 5. Space and time averages 6. The contraction fixed point theorem 7. The Hausdorff metric and Hutchinson's theorem 8. Hyperbolicity 9. The Perron-Frobenius theorem 10. Some topics in ordinary differential equations 11. Lotka-Volterra 12. Symbolic dynamics Bibliography Index
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