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

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

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...

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

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...

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,...

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

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

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

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

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

{\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...

Anosov diffeomorphism and in particular it is structurally stable. The mapping torus of Γ is a solvmanifold, and as with other Anosov diffeomorphisms...

pseudorandom number generators (PRNG) and is based on Anosov C-systems (Anosov diffeomorphism) and Kolmogorov K-systems (Kolmogorov automorphism). It...

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

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...

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}...

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

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...

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...

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

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

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

first started collaborating they gave the very first example of an Anosov diffeomorphism on a manifold which was not infranil. Later, Jones and Farrell,...

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

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

scaling dimension Anomaly (physics) Anomaly matching condition Anosov diffeomorphism Ansar Pervaiz Ansatz Anselmus de Boodt Antarctic Impulse Transient...

expansion to the classification of dynamical systems by showing that Anosov diffeomorphisms exist on many manifolds of high dimension. F. T. Farrell, L. E....

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...

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