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Dynamics Beyond Uniform Hyperbolicity: A Global Geometric and Probabilistic Perspective

Dynamics Beyond Uniform Hyperbolicity: A Global Geometric and Probabilistic Perspective

Hardcover

Series: Encyclopaedia of Mathematical Sciences, Book 102

General SciencePhysics

ISBN10: 3540220666
ISBN13: 9783540220664
Publisher: Springer
Published: Sep 30 2004
Pages: 384
Weight: 1.55
Height: 1.10 Width: 6.40 Depth: 9.30
Language: English
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

Also from

Bonatti, Christian

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Physics