An introduction to chaotic dynamical systems
Wedi'i Gadw mewn:
| Prif Awdur: | |
|---|---|
| Fformat: | Livre papier |
| Iaith: | Anglais |
| Cyhoeddwyd: |
Reading, Mass. ; Paris [etc.] :
Addison-Wesley Pub. Co.
copyright 1989.
|
| Rhifyn: | 2nd edition. |
| Cyfres: | Advanced book program
|
| Pynciau: | |
| Nodyn: |
Autre tirage : 1993, 1995 |
| Autres localisations: | Voir dans le Sudoc |
| Variante du titre: | Chaotic dynamical systems |
Tabl Cynhwysion:
- Part one. One-dimensional dynamics
- 1.1 Examples of dynamical systems
- 1.2 Preliminaries from calculus
- 1.3 Elementary definitions
- 1.4 Hyperbolicity
- 1.5 An example : the quadratic family
- 1.6 Symbolic dynamics
- 1.7 Topological conjugacy
- 1.8 Chaos
- 1.9 Structural stability
- 1.10 Sarkovskii's theorem
- 1.11 The Schwarzian derivative
- 1.12 Bifurcation theory
- 1.13 Another view of period three
- 1.14 Maps of the circle
- 1.15 Morse-Smale diffeomorphisms
- 1.16 Homoclinic points and bifurcations
- 1.17 The period-doubling route to chaos
- 1.18 The kneading theory
- 1.19 Genealogy of periodic points
- Part two. Higher dimensional dynamics
- 2.1 Preliminaries from linear algebra and advanced calculus
- 2.2 The dynamics of linear maps : two and three dimensions
- 2.3 The horseshoe map
- 2.4 Hyperbolic toral automorphisms
- 2.5 Attractors
- 2.6 The stable and unstable manifold theorem
- 2.7 Global results and hyperbolic sets
- 2.8 The The Hopf bifurcation
- 2.9 The Hénon map
- Part three. Complex analytic dynamics
- 3.1 Preliminaries from complex analysis
- 3.2 Quadratic maps revisited
- 3.3 Normal families and exceptional points
- 3.4 Periodic points
- 3.5 The Julia set
- 3.6 The geometry of Julia sets
- 3.7 Neutral perdiodic points
- 3.8 The Mandelbrot set
- 3.9 An example : the exponential function