WorldCat Identities

Anosov, D. V.

Overview
Works: 58 works in 265 publications in 4 languages and 2,187 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Editor, Honoree, Creator, Other, Dedicatee, Redactor
Classifications: QA805, 531
Publication Timeline
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Most widely held works by D. V Anosov
Dynamical systems by V. I Arnolʹd( Book )

91 editions published between 1985 and 2009 in 5 languages and held by 1,057 WorldCat member libraries worldwide

The book deals with smooth dynamical systems with hyperbolic behaviour of trajectories filling out "large subsets" of the phase space. Such systems lead to complicated motion (so-called "chaos"). The book begins with a discussion of the topological manifestations of uniform and total hyperbolicity: hyperbolic sets, Smale's Axiom A, structurally stable systems, Anosov systems, and hyperbolic attractors of dimension or codimension one. There are various modifications of hyperbolicity and in this connection the properties of Lorenz attractors, pseudo-analytic Thurston diffeomorphisms, and homogeneous flows with expanding and contracting foliations are investigated. These last two questions are discussed in the general context of the theory of homeomorphisms of surfaces and of homogeneous flows
Geodesic flows on closed Riemann manifolds with negative curvature by D. V Anosov( Book )

23 editions published between 1967 and 1989 in 3 languages and held by 271 WorldCat member libraries worldwide

The Riemann-Hilbert problem by D. V Anosov( Book )

16 editions published between 1994 and 2014 in English and German and held by 199 WorldCat member libraries worldwide

This book is devoted to Hilbert's 21st problem (the Riemann-Hilbert problem) which belongs to the theory of linear systems of ordinary differential equations in the complex domain. The problem concems the existence of a Fuchsian system with prescribed singularities and monodromy. Hilbert was convinced that such a system always exists. However, this tumed out to be a rare case of a wrong forecast made by hirn. In 1989 the second author (A.B.) discovered a counterexample, thus 1 obtaining a negative solution to Hilbert's 21st problem. After we recognized that some "data" (singularities and monodromy) can be obtai ned from a Fuchsian system and some others cannot, we are enforced to change our point of view. To make the terminology more precise, we shaII caII the foIIowing problem the Riemann-Hilbert problem for such and such data: does there exist a Fuchsian system having these singularities and monodromy? The contemporary version of the 21 st Hilbert problem is to find conditions implying a positive or negative solution to the Riemann-Hilbert problem
Dynamical systems and related topics : collected papers in honor of sixtieth birthday of academician Dmitrii Viktorovich Anosov( Book )

8 editions published in 1997 in English and Undetermined and held by 80 WorldCat member libraries worldwide

Nonlocal asymptotic behavior of curves and leaves of laminations on universal coverings by D. V Anosov( Book )

7 editions published in 2005 in English and held by 62 WorldCat member libraries worldwide

20 lectures delivered at the International Congress of Mathematicians in Vancouver, 1974 by Vancouver, British Columbia) International Congress of Mathematicians (1974( Book )

9 editions published in 1977 in English and held by 26 WorldCat member libraries worldwide

Integrable systems nonholonomic dynamical systems by V. I Arnolʹd( Book )

10 editions published between 1988 and 1994 in English and Undetermined and held by 25 WorldCat member libraries worldwide

This work describes the fundamental principles, problems, and methods of classical mechanics. The authors have endeavored to give an exposition stressing the working apparatus of classical mechanics, rather than its physical foundations or applications. Chapter 1 is devoted to the fundamental mathematical models which are usually employed to describe the motion of real mechanical systems. Chapter 2 presents the n-body problem as a generalization of the 2-body problem. Chapter 3 is concerned with the symmetry groups of mechanical systems and the corresponding conservation laws. Chapter 4 contains a brief survey of various approaches to the problem of the integrability of the equations of motion. Chapter 5 is devoted to one of the most fruitful branches of mechanics - perturbation theory. Chapter 6 is related to chapters 4 and 5, and studies the theoretical possibility of integrating the equations of motion. Elements of the theory of oscillations are given in chapter 7. The main purpose of the book is to acquaint the reader with classical mechanics as a whole, in both its classical and its contemporary aspects. The "Encyclopaedia of Mathematical Sciences" addresses all mathematicians, physicists and enigneers
Seven papers in applied mathematics by D. V Anosov( Book )

8 editions published in 1985 in English and Undetermined and held by 15 WorldCat member libraries worldwide

Dynamical systems( Book )

in English and held by 11 WorldCat member libraries worldwide

Nelokal·noe asimptotičeskoe povedenie krivych i sloev laminacij na universal·nych nakryvajuščich by D. V Anosov( Book )

4 editions published in 2005 in Russian and held by 11 WorldCat member libraries worldwide

This monograph is devoted to the properties of infinite (either in one direction or in both directions) curves without self-intersections on closed surfaces. The properties considered are those that are exhibited when the curves are lifted to the universal covering and are associated with the asymptotic behavior of the lifted curves at infinity; these properties mainly manifest themselves when the curves are compared with geodesics or with curves of constant geodesic curvature. The approach described can be applied to the trajectories of flows (which leads to a far-reaching generalization of the Poincaré rotation numbers) and to the leaves of foliations and laminations
Dinamičeskie sistemy i smežnye voprosy geometrii : posvjaščaetsja pamjati akademika Andreja Andreeviča Bolibrucha ; sbornik statej( Book )

3 editions published in 2004 in Russian and held by 10 WorldCat member libraries worldwide

Dinamičeskie sistemy i smežnye voprosy : sbornik statej : k 60-letiju so dnja roždenija akademika Dmitrija Viktoroviča Anosova( Book )

5 editions published in 1997 in Russian and held by 9 WorldCat member libraries worldwide

Dynamical systems and optimization : collected papers dedicated to the 70th birthday of academician Dimitrii Viktorovich Anosov( Book )

4 editions published between 2004 and 2007 in English and held by 7 WorldCat member libraries worldwide

Dynamical systems. Dynamical systems. General theory of vortices. Edited by V.V. Lozlov( Book )

4 editions published between 1988 and 2003 in English and held by 7 WorldCat member libraries worldwide

Dinamičeskie sistemy i optimizacija : sbornik statej ; K 70-letiju so dnja roždenija akademika Dmitrija Viktoroviča Anosova( Book )

2 editions published in 2007 in Russian and held by 7 WorldCat member libraries worldwide

This volume is dedicated to the 70th birthday of Dmitrii Viktorovich Anosov. Academician Anosov has made an outstanding contribution to the development of the theory of dynamical systems. This volume contains papers by well-known specialists and young mathematicians specializing in the theory of differential equations and dynamical systems and in the closely related optimal control theory. The volume is addressed to a wide circle of mathematicians, scientists, and students, as well as to those who specialize in theoretical and applied problems of dynamical systems theory and in the geometric and analytic aspects of optimal control theory
Topologija sloenij by Ichirō Tamura( Book )

3 editions published in 1979 in Russian and held by 6 WorldCat member libraries worldwide

 
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Dynamical systems
Alternative Names
Anosov, D. V.

Anosov, D. V. 1936-

Anosov, Dmitriĭ Viktorovich

Anosov, Dmitriĭ Viktorovich 1936-

Anosov, Dmitrij V

Anosov, Dmitrij Viktorovič 1936-

Dimitrij Viktorovič Anosov

Dmitri Anosov Russian mathematician

Dmitri Anosov Russisch wiskundige (1936-2014)

Dmitri Anossov mathématicien russe

Dmitri Wiktorowitsch Anossow russischer Mathematiker

Dmitrij Anosov

Аносов, Д. В.

Аносов, Дмитрий Викторевич

दिमित्री व्हिक्टोरोविच अनोसोव्ह

德米特里·阿诺索夫

Languages
English (164)

Russian (23)

German (3)

Italian (1)

Covers
Integrable systems nonholonomic dynamical systemsDynamical systemsDynamical systems. Dynamical systems. General theory of vortices. Edited by V.V. Lozlov