Anosov flow

См. также в других словарях:

• Anosov diffeomorphism — In mathematics, more particularly in the fields of dynamical systems and geometric topology, an Anosov map on a manifold M is a certain type of mapping, from M to itself, with rather clearly marked local directions of expansion and contraction .… …   Wikipedia

• Flow (mathematics) — In mathematics, a flow formalizes, in mathematical terms, the general idea of a variable that depends on time that occurs very frequently in engineering, physics and the study of ordinary differential equations. Informally, if x(t) is some… …   Wikipedia

• Vector flow — In mathematics, the vector flow refers to a set of closely related concepts of the flow determined by a vector field. These appear in a number of different contexts, including differential topology, Riemannian geometry and Lie group theory. These …   Wikipedia

• Pseudo-Anosov map — In mathematics, specifically in topology, a pseudo Anosov map is a type of a diffeomorphism or homeomorphism of a surface. It is a generalization of a linear Anosov diffeomorphism of the torus. Its definition relies on the notion of a measured… …   Wikipedia

• Poincaré half-plane model — Stellated regular heptagonal tiling of the model.In non Euclidean geometry, the Poincaré half plane model is the upper half plane, together with a metric, the Poincaré metric, that makes it a model of two dimensional hyperbolic geometry.It is… …   Wikipedia

• Entropy (arrow of time) — Entropy is the only quantity in the physical sciences that picks a particular direction for time, sometimes called an arrow of time. As one goes forward in time, the second law of thermodynamics says that the entropy of an isolated system can… …   Wikipedia

• Hyperbolic equilibrium point — In mathematics, especially in the study of dynamical system, a hyperbolic equilibrium point or hyperbolic fixed point is a special type of fixed point.The Hartman Grobman theorem states that the orbit structure of a dynamical system in the… …   Wikipedia

• Artin billiard — In mathematics and physics, the Artin billiard is a type of a dynamical billiard first studied by Emil Artin in 1924. It describes the geodesic motion of a free particle on the non compact Riemann surface mathbb{H}/Gamma, where mathbb{H} is the… …   Wikipedia

• SYSTÈMES DYNAMIQUES DIFFÉRENTIABLES — Sans doute née avec le mémoire que Poincaré écrivit en 1881 «sur les courbes définies par des équations différentielles», où l’étude quantitative (analytique) locale des équations différentielles dans le champ complexe est remplacée par leur… …   Encyclopédie Universelle

• Ergodic theory — is a branch of mathematics that studies dynamical systems with an invariant measure and related problems. Its initial development was motivated by problems of statistical physics. A central concern of ergodic theory is the behavior of a dynamical …   Wikipedia

• Geometrization conjecture — Thurston s geometrization conjecture states that compact 3 manifolds can be decomposed canonically into submanifolds that have geometric structures. The geometrization conjecture is an analogue for 3 manifolds of the uniformization theorem for… …   Wikipedia