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
.
Most widely held works about
D. V Anosov
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 (socalled "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, pseudoanalytic 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
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 (socalled "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, pseudoanalytic 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
23 editions published between 1967 and 1989 in 3 languages and held by 271 WorldCat member libraries worldwide
The RiemannHilbert 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 RiemannHilbert 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 RiemannHilbert 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 RiemannHilbert problem
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 RiemannHilbert 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 RiemannHilbert 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 RiemannHilbert 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
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
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
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 nbody problem as a generalization of the 2body 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
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 nbody problem as a generalization of the 2body 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
8 editions published in 1985 in English and Undetermined and held by 15 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 selfintersections 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 farreaching generalization of the Poincaré rotation numbers) and to the leaves of foliations and laminations
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 selfintersections 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 farreaching 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
3 editions published in 2004 in Russian and held by 10 WorldCat member libraries worldwide
Dinamičeskie sistemy i smežnye voprosy : sbornik statej : k 60letiju so dnja roždenija akademika Dmitrija Viktoroviča
Anosova(
Book
)
5 editions published in 1997 in Russian and held by 9 WorldCat member libraries worldwide
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
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
4 editions published between 1988 and 2003 in English and held by 7 WorldCat member libraries worldwide
Dinamičeskie sistemy i optimizacija : sbornik statej ; K 70letiju 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 wellknown 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
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 wellknown 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
3 editions published in 1979 in Russian and held by 6 WorldCat member libraries worldwide
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Related Identities
 Bolibrukh, A. A. Honoree Dedicatee
 Arnolʹd, V. I. (Vladimir Igorevich) 19372010 Author Editor
 Sinaj, Jakov G.
 Matematicheskiĭ institut im. V.A. Steklova
 Gamkrelidze, Revaz V. Editor
 Mishchenko, E. F. (Evgeniĭ Frolovich) Editor
 Kozlov, Valerij V.
 Arnol·d, Vladimir I.
 Stepin, A. M. Editor
 International School of Dynamical Systems
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Associated Subjects
Algebraic topology Anosov, D. V Bifurcation theory Catastrophes (Mathematics) Celestial mechanics Cell aggregationMathematics Chaotic behavior in systems Control theory Differentiable dynamical systems Differentiable mappings Differential equations Differential equations, Hyperbolic Differential topology Dynamics Ergodic theory Foliations (Mathematics) Geodesic flows Geometry Geometry, Algebraic Geometry, Differential Global analysis (Mathematics) Global differential geometry Hyperbolic spaces Manifolds (Mathematics) Mathematical optimization Mathematical physics Mathematics Measurepreserving transformations Mechanics, Analytic Monodromy groups Nonholonomic dynamical systems Physics RiemannHilbert problems Riemannian manifolds Singularities (Mathematics) Spectral theory (Mathematics) Statistical mechanics Symplectic geometry Symplectic groups Symplectic manifolds Topological groups
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 (19362014)
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
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