Dynamics Beyond Uniform Hyperbolicity: A Global Geometric and Probabilistic Perspective 2005 Edition Contributor(s): Bonatti, Christian (Author), Díaz, Lorenzo J. (Author), Viana, Marcelo (Author) |
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ISBN: 3540220666 ISBN-13: 9783540220664 Publisher: Springer OUR PRICE: $189.99 Product Type: Hardcover - Other Formats Published: September 2004 |
Additional Information |
BISAC Categories: - Science | Physics - Mathematical & Computational - Science | Mechanics - Dynamics - Science | System Theory |
Dewey: 531.11 |
Series: Encyclopaedia of Mathematical Sciences |
Physical Information: 1.1" H x 6.4" W x 9.3" (1.55 lbs) 384 pages |
Descriptions, Reviews, Etc. |
Publisher Description: 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 |