| Dynamics Beyond Uniform Hyperbolicity: A Global Geometric and Probabilistic Perspective Contributor(s): Bonatti, Christian (Author), Díaz, Lorenzo J. (Author), Viana, Marcelo (Author) |
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ISBN: 3642060412 ISBN-13: 9783642060410 Publisher: Springer OUR PRICE: $189.99 Product Type: Paperback - Other Formats Published: October 2010 |
| Additional Information |
| BISAC Categories: - Science | Physics - Mathematical & Computational - Science | Mechanics - Dynamics - Mathematics | Differential Equations - General |
| Dewey: 531.11 |
| Series: Encyclopaedia of Mathematical Sciences |
| Physical Information: 0.87" H x 6.18" W x 9.16" (1.25 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 |