is called an Anosov flow. A classical example of Anosov diffeomorphism is the Arnold's cat map. Anosov proved that Anosov diffeomorphisms are structurally...

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...

diffeomorphism; those equivalent to a diffeomorphism leaving a simple closed curve invariant; and those equivalent to pseudo-Anosov diffeomorphisms....

In 2014, he died at the age of 77. Anosov diffeomorphism Anosov map Pseudo-Anosov map "Dmitrii Viktorovich Anosov - Biography". Аносов, Дмитрий Викторович...

structurally stable systems in arbitrary dimensions is given by Anosov diffeomorphisms and flows. During the late 1950s and the early 1960s, Maurício Peixoto...

is approximated by an Anosov system. Let M be a smooth manifold with a diffeomorphism f: M→M. Then f is an axiom A diffeomorphism if the following two...

Dmitri Anosov (1936–2014), Russian Soviet mathematician Anosov diffeomorphism Nikolai Anosov (1900–1962), Soviet conductor Vitaly Anosov (born 1977)...

Sinai, David Ruelle and Rufus Bowen in the less general area of Anosov diffeomorphisms and axiom A attractors. Let T : X → X {\displaystyle T:X\rightarrow...

when the entire manifold M is hyperbolic, the map f is called an Anosov diffeomorphism. The dynamics of f on a hyperbolic set, or hyperbolic dynamics,...

Atwood's machine Tilt A Whirl Other related topics Amplitude death Anosov diffeomorphism Catastrophe theory Causality Chaos as topological supersymmetry...

properties. The study of pseudo-Anosov diffeomorphisms of a surface is fundamental. They are the most interesting diffeomorphisms, since finite-order mapping...

Alexandroff compactification and the Alexandrov topology Dmitri Anosov, developed Anosov diffeomorphism Vladimir Arnold, an author of the Kolmogorov–Arnold–Moser...

\Gamma } is ergodic and mixing, Γ {\displaystyle \Gamma } is an Anosov diffeomorphism and in particular it is structurally stable. The mapping torus of...

Alexandroff compactification and the Alexandrov topology Dmitri Anosov, developed Anosov diffeomorphism Vladimir Arnold, an author of the Kolmogorov–Arnold–Moser...

{\displaystyle 6g-6} -dimensional closed ball. A diffeomorphism S → S {\displaystyle S\to S} is called pseudo-Anosov if there exists two transverse measured foliations...

Fractal Limit set Lyapunov exponent Orbit Periodic point Phase space Anosov diffeomorphism Arnold tongue axiom A dynamical system Bifurcation diagram Box-counting...

Anosov diffeomorphisms by Yakov Sinai who used the symbolic model to construct Gibbs measures. In the early 1970s the theory was extended to Anosov flows...

curves, Anosov diffeomorphisms, and convex geometry. In a series of papers with Yves Benoist and Patrick Foulon, he solved a conjecture on Anosov flows...

Minkowski space. Hyperbolic elements of the modular group act as Anosov diffeomorphisms of the torus. Hyperbolic elements are conjugate into the 2 component...

introduced the concept of Mather spectrum and gave a characterization of Anosov diffeomorphisms. 2. Jointly with Richard McGehee, he gave an example of collinear...

Alexandroff compactification and the Alexandrov topology Dmitri Anosov, developed Anosov diffeomorphism Vladimir Arnold, an author of the Kolmogorov–Arnold–Moser...

Fractal Limit set Lyapunov exponent Orbit Periodic point Phase space Anosov diffeomorphism Arnold tongue axiom A dynamical system Bifurcation diagram Box-counting...

the three-sphere a minimal set (Gottschalk's conjecture)? Is an Anosov diffeomorphism of a compact manifold topologically the same as the Lie group model...

solvmanifolds that are not nilmanifolds. The mapping torus of an Anosov diffeomorphism of the n-torus is a solvmanifold. For n = 2 {\displaystyle n=2}...

pp. 299–302. Bowen: Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms. (Lecture Notes in Mathematics, no. 470: A. Dold and B. Eckmann...

3-manifold that fibers over the circle and whose monodromy is a pseudo-Anosov diffeomorphism, then the interior of M has a complete hyperbolic metric of finite...

hyperbolic if and only if f is a pseudo-Anosov homeomorphism of S. W. Thurston, On the geometry and dynamics of diffeomorphisms of surfaces, Bulletin of the American...

systems, where the main object of study is a smooth manifold with a diffeomorphism or a smooth flow, phase spaces considered in topological dynamics are...

Markov partitions have been constructed in several situations. Anosov diffeomorphisms of the torus.[citation needed] Dynamical billiards, in which case...

flow, the Hamiltonian flow, the Ricci flow, the mean curvature flow, and Anosov flows. Flows may also be defined for systems of random variables and stochastic...