Erschienen: 19.10.2010 Abbildung von Bonatti / Díaz / Viana | Dynamics Beyond Uniform Hyperbolicity | 1st Edition. Softcover version of original hardcover edition 2005 | 2010

Bonatti / Díaz / Viana

Dynamics Beyond Uniform Hyperbolicity

A Global Geometric and Probabilistic Perspective

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149,79 €

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1st Edition. Softcover version of original hardcover edition 2005 2010. Buch. xviii, 384 S. Bibliographien. Softcover

Springer. ISBN 978-3-642-06041-0

Format (B x L): 15,5 x 23,5 cm

Gewicht: 617 g

In englischer Sprache

Produktbeschreibung

What is Dynamics about? In broad terms, the goal of Dynamics is to describe the long term evolution of systems for which an "infinitesimal" evolution rule is known. Examples and applications arise from all branches of science and technology, like physics, chemistry, economics, ecology, communications, biology, computer science, or meteorology, to mention just a few. These systems have in common the fact that each possible state may be described by a finite (or infinite) number of observable quantities, like position, velocity, temperature, concentration, population density, and the like. Thus, m the space of states (phase space) is a subset M of an Euclidean space M. Usually, there are some constraints between these quantities: for instance, for ideal gases pressure times volume must be proportional to temperature. Then the space M is often a manifold, an n-dimensional surface for some n < m. For continuous time systems, the evolution rule may be a differential eq- tion: to each state x G M one associates the speed and direction in which the system is going to evolve from that state. This corresponds to a vector field X(x) in the phase space. Assuming the vector field is sufficiently regular, for instance continuously differentiable, there exists a unique curve tangent to X at every point and passing through x: we call it the orbit of x.

Gesamtwerk

Die 8. Auflage ist wieder auf sechs Bände angelegt. Darin finden sich übersichtlich und in systematischer Gliederung Vertragsmuster aus der Feder erfahrener Experten. Jedem dieser Muster folgen Anmerkungen, mit denen der dem Vertragsentwurf zu Grunde liegende Sachverhalt und die Gründe für die Wahl des spezifischen Formulars erläutert werden.

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