A first course in discrete dynamical systems / Richard A. Holmgren.
Series UniversitextEditor: New York : Springer-Verlag, c1994Descripción: xi, 214 p. : il. ; 24 cmISBN: 0387942084 (New York); 3540942084 (Berlin)Tema(s): Differentiable dynamical systemsOtra clasificación: 37-01 (37D45 37Fxx)1. Introduction2. A quick look at functions3. The topology of the real numbers4. Periodic points and stable sets5. Sarkovskii's theorem6. Differentiability and its implications7. Parametrized families of functions and bifurcations8. The logistic function, part I9. Symbolic dynamics and chaos10. The logistic function, part II: Topological conjugacy11. The logistic function, part III12. Newton's method13. Numerical solutions of differential equations14. The dynamics of complex functions15. The quadratic family and the Mandelbrot set.
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Instituto de Matemática, CONICET-UNS | Libros ordenados por tema | 37 H753 (Browse shelf) | Available | A-7028 |
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| 37 H747 Geometric mechanics and symmetry : | 37 H747g-2 Geometric mechanics / | 37 H747g-2 Geometric mechanics / | 37 H753 A first course in discrete dynamical systems / | 37 H798 Lectures on integrable systems / | 37 H911 Unfoldings of quasi-periodic tori / | 37 In61 Integration of fuzzy logic and chaos theory / |
Incluye referencias bibliográficas (p. [203]-207) e índice.
1. Introduction -- 2. A quick look at functions -- 3. The topology of the real numbers -- 4. Periodic points and stable sets -- 5. Sarkovskii's theorem -- 6. Differentiability and its implications -- 7. Parametrized families of functions and bifurcations -- 8. The logistic function, part I -- 9. Symbolic dynamics and chaos -- 10. The logistic function, part II: Topological conjugacy -- 11. The logistic function, part III -- 12. Newton's method -- 13. Numerical solutions of differential equations -- 14. The dynamics of complex functions -- 15. The quadratic family and the Mandelbrot set.
MR, 95c:58057
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