9783540570431 - dynamical systems ix: dynamical systems with hyperbolic behaviour (encyclopaedia of mathematical sciences, 66, band 66) (7 Ergebnisse)
Sprache: Englisch
Verlag: Springer 1991
Serie: Encyclopaedia of Mathematical Sciences, Buch 15 von 47. Buch 15 von 47 - Encyclopaedia of Mathematical Sciences
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Zustand: Good. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,550grams, ISBN:3540570438.
Sprache: Englisch
Verlag: Berlin/Heidelberg, Publishers: Springer, 1995. 1995
Serie: Encyclopaedia of Mathematical Sciences, Buch 15 von 47. Buch 15 von 47 - Encyclopaedia of Mathematical Sciences
- Hardcover
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Gr.-8°. 235 Pages. Original Hardcover-Volume. Very good Condition with only minimal Signs of Usage at the Cover. No Markings in the Text! No Underlinings! No Owner's Note! (Encyclopaedia of Mathematical Sciences, 66).
Sprache: Englisch
Verlag: Springer 1995
Serie: Encyclopaedia of Mathematical Sciences, Buch 15 von 47. Buch 15 von 47 - Encyclopaedia of Mathematical Sciences
- Hardcover
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Sprache: Englisch
Verlag: Springer 1995
Serie: Encyclopaedia of Mathematical Sciences, Buch 15 von 47. Buch 15 von 47 - Encyclopaedia of Mathematical Sciences
- Hardcover
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Sprache: Englisch
Verlag: Springer Berlin Heidelberg 1995
Serie: Encyclopaedia of Mathematical Sciences, Buch 15 von 47. Buch 15 von 47 - Encyclopaedia of Mathematical Sciences
- Hardcover
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Sprache: Englisch
Verlag: Springer 1995
Serie: Encyclopaedia of Mathematical Sciences, Buch 15 von 47. Buch 15 von 47 - Encyclopaedia of Mathematical Sciences
- Hardcover
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Zustand: Gut. Zustand: Gut | Sprache: Englisch | Produktart: Bücher | This volume is devoted to the "hyperbolic theory" of dynamical systems (DS), that is, the theory of smooth DS's with hyperbolic behaviour of the tra jectories (generally speaking, not the individual trajectories, but trajectories filling out more or less "sig…nificant" subsets in the phase space. Hyperbolicity the property that under a small displacement of any of a trajectory consists in point of it to one side of the trajectory, the change with time of the relative positions of the original and displaced points resulting from the action of the DS is reminiscent of the mot ion next to a saddle. If there are "sufficiently many" such trajectories and the phase space is compact, then although they "tend to diverge from one another" as it were, they "have nowhere to go" and their behaviour acquires a complicated intricate character. (In the physical literature one often talks about "chaos" in such situations. ) This type of be haviour would appear to be the opposite of the more customary and simple type of behaviour characterized by its own kind of stability and regularity of the motions (these words are for the moment not being used as a strict ter 1 minology but rather as descriptive informal terms). The ergodic properties of DS's with hyperbolic behaviour of trajectories (Bunimovich et al. 1985) have already been considered in Volume 2 of this series. In this volume we therefore consider mainly the properties of a topological character (see below 2 for further details).
Sprache: Englisch
Verlag: Springer, Springer Vieweg 1995
Serie: Encyclopaedia of Mathematical Sciences, Buch 15 von 47. Buch 15 von 47 - Encyclopaedia of Mathematical Sciences
- Hardcover
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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This volume is devoted to the 'hyperbolic theory' of dynamical systems (DS), that is, the theory of smooth DS's with hyperbolic behaviour of the tra jectories (generally speaking, not the individual trajectories, but trajectories filling out more or less 's…ignificant' subsets in the phase space. Hyperbolicity the property that under a small displacement of any of a trajectory consists in point of it to one side of the trajectory, the change with time of the relative positions of the original and displaced points resulting from the action of the DS is reminiscent of the mot ion next to a saddle. If there are 'sufficiently many' such trajectories and the phase space is compact, then although they 'tend to diverge from one another' as it were, they 'have nowhere to go' and their behaviour acquires a complicated intricate character. (In the physical literature one often talks about 'chaos' in such situations. ) This type of be haviour would appear to be the opposite of the more customary and simple type of behaviour characterized by its own kind of stability and regularity of the motions (these words are for the moment not being used as a strict ter 1 minology but rather as descriptive informal terms). The ergodic properties of DS's with hyperbolic behaviour of trajectories (Bunimovich et al. 1985) have already been considered in Volume 2 of this series. In this volume we therefore consider mainly the properties of a topological character (see below 2 for further details).
