Dynamics Beyond Uniform Hyperbolicity

Released on by Christian Bonatti
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  • Dynamics Beyond Uniform Hyperbolicity Book Detail

  • Author : Christian Bonatti
  • Release Date : 2006-03-30
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 390
  • ISBN 13 : 3540268448
  • File Size : 37,37 MB
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Dynamics Beyond Uniform Hyperbolicity by Christian Bonatti PDF Summary

Book 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

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Dynamics Beyond Uniform Hyperbolicity

Dynamics Beyond Uniform Hyperbolicity

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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 kn