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|a 0201130467 (rel.) :
|c 314 FRF
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|a 9780201130461
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|a eng
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|a 51
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|a 510
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| 084 |
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|a QA 6148 D488i 1989
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| 084 |
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|a 58F13. 2000
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| 084 |
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|a 34C35. 2000
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| 084 |
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|a 54H20. 2000
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| 084 |
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|a 37-01. 2000
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|a 37Dxx. 2000
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|a 37D45. 2000
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| 084 |
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|a 37G99. 2000
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| 100 |
1 |
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|a Devaney, Robert Luke,
|d 1948-
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| 240 |
1 |
0 |
|a Chaotic dynamical systems
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| 245 |
1 |
0 |
|a An introduction to chaotic dynamical systems
|c Robert L. Devaney,...
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| 250 |
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|a 2nd edition.
|
| 260 |
|
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|a Reading, Mass. ;
|a Paris [etc.] :
|b Addison-Wesley Pub. Co.,
|c copyright 1989.
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| 300 |
|
|
|a 1 vol. (XVI-336 p.-[8] p. de pl. en coul.) :
|b ill. en noir et en coul. ;
|c 24 cm.
|
| 490 |
1 |
|
|a Advanced book program
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| 500 |
|
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|a Autre tirage : 1993, 1995
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| 504 |
|
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|a Notes bibliogr. Index
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| 505 |
0 |
|
|a 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
|
| 650 |
|
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|a Chaos déterministe
|
| 650 |
|
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|a Dynamique différentiable
|
| 650 |
|
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|a Chaos (théorie des systèmes)
|
| 650 |
|
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|a Systèmes dynamiques
|
| 997 |
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|0 172739
|1 Livre papier
|a Ressource papier
|c 0/Orléans/
|c 1/Orléans/BU Droit, Economie, Gestion/
|c 1/Orléans/IDP/
|z Orléans, BU Droit, Economie, Gestion, PS18447
|z Orléans, IDP, 5202 DEV
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