Dynamics beyond uniform hyperbolicity
185,29 $

Dynamics beyond uniform hyperbolicity

CHRISTIAN BONATTI, LORENZO J. DÍAZ, VI


Dynamics beyond uniform hyperbolicity

CHRISTIAN BONATTI, LORENZO J. DÍAZ, VI

185,29 $ 185,29 $
Régulier: 185,29 $
Rabais: 0,00 $ (0%)
Livre numérique non disponible
Résumé
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.
Détails
Titre
Dynamics beyond uniform hyperbolicity
Prix
185,29 $
Sujet
Format Poche
Non
Langue
Français/French
Date de publication
2006-03-30
ISBN
9783540268444
Code Interne
2323053
Numéro de produit
2323053
Format numérique
pdf
Disponibilité
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Protection
Adobe DRM
Entrepôt Numérique
NUMILOG

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