Anosov, D. V.
Overview
Works:  85 works in 279 publications in 4 languages and 2,325 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Honoree, Other, Creator, Redactor, Dedicatee 
Classifications:  QA805, 531 
Publication Timeline
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Most widely held works about
D. V Anosov
 Dynamical systems and optimization : collected papers dedicated to the 70th birthday of academician Dimitrii Viktorovich Anosov( Book )
 Modern theory of dynamical systems : a tribute to Dmitry Victorovich Anosov( Book )
Most widely held works by
D. V Anosov
Ordinary differential equations and smooth dynamical systems by
D. V Anosov(
Book
)
42 editions published between 1985 and 1997 in English and Russian and held by 399 WorldCat member libraries worldwide
42 editions published between 1985 and 1997 in English and Russian and held by 399 WorldCat member libraries worldwide
Geodesic flows on closed Riemann manifolds with negative curvature by
D. V Anosov(
Book
)
20 editions published between 1967 and 1989 in 3 languages and held by 264 WorldCat member libraries worldwide
20 editions published between 1967 and 1989 in 3 languages and held by 264 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 201 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 201 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 by
D. V Anosov(
Book
)
27 editions published between 1988 and 2011 in 3 languages and held by 170 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
27 editions published between 1988 and 2011 in 3 languages and held by 170 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
Dynamical systems with hyperbolic behavior by
D. V Anosov(
Book
)
3 editions published between 1988 and 1995 in English and held by 86 WorldCat member libraries worldwide
3 editions published between 1988 and 1995 in English and held by 86 WorldCat member libraries worldwide
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 78 WorldCat member libraries worldwide
8 editions published in 1997 in English and Undetermined and held by 78 WorldCat member libraries worldwide
Dynamical systems and related problems of geometry : collected papers dedicated to the memory of academician Andrei Andreevich
Bolibrukh(
Book
)
6 editions published in 2004 in English and held by 58 WorldCat member libraries worldwide
6 editions published in 2004 in English and held by 58 WorldCat member libraries worldwide
Dynamical systems by
V. I Arnolʹd(
Book
)
5 editions published in 1993 in English and Undetermined and held by 53 WorldCat member libraries worldwide
A survey of singularity theory and its main applications. It covers: the critical points of functions; monodromy groups of critical points; basic properties of maps; and the global theory of singularities
5 editions published in 1993 in English and Undetermined and held by 53 WorldCat member libraries worldwide
A survey of singularity theory and its main applications. It covers: the critical points of functions; monodromy groups of critical points; basic properties of maps; and the global theory of singularities
Nonlocal asymptotic behavior of curves and leaves of laminations on universal coverings by
D. V Anosov(
Book
)
2 editions published in 2005 in English and held by 51 WorldCat member libraries worldwide
2 editions published in 2005 in English and held by 51 WorldCat member libraries worldwide
20 lectures delivered at the International Congress of Mathematicians in Vancouver, 1974 by
D. V Anosov(
Book
)
10 editions published in 1977 in English and held by 24 WorldCat member libraries worldwide
10 editions published in 1977 in English and held by 24 WorldCat member libraries worldwide
Dynamical systems : Ergodic theory with applications to dynamical systems and statistical mechanics(
Book
)
5 editions published between 1988 and 1989 in English and held by 20 WorldCat member libraries worldwide
Following the concept of the EMS series this volume sets out to familiarize the reader to the fundamental ideas and results of modern ergodic theory and to its applications to dynamical systems and statistical mechanics. The exposition starts from the basic of the subject, introducing ergodicity, mixing and entropy. Then the ergodic theory of smooth dynamical systems is presented  hyperbolic theory, billiards, onedimensional systems and the elements of KAM theory. Numerous examples are presented carefully along with the ideas underlying the most important results. The last part of the book deals with the dynamical systems of statistical mechanics, and in particular with various kinetic equations. This book is compulsory reading for all mathematicians working in this field, or wanting to learn about it
5 editions published between 1988 and 1989 in English and held by 20 WorldCat member libraries worldwide
Following the concept of the EMS series this volume sets out to familiarize the reader to the fundamental ideas and results of modern ergodic theory and to its applications to dynamical systems and statistical mechanics. The exposition starts from the basic of the subject, introducing ergodicity, mixing and entropy. Then the ergodic theory of smooth dynamical systems is presented  hyperbolic theory, billiards, onedimensional systems and the elements of KAM theory. Numerous examples are presented carefully along with the ideas underlying the most important results. The last part of the book deals with the dynamical systems of statistical mechanics, and in particular with various kinetic equations. This book is compulsory reading for all mathematicians working in this field, or wanting to learn about it
Seven papers in applied mathematics by
D. V Anosov(
Book
)
9 editions published in 1985 in English and Undetermined and held by 15 WorldCat member libraries worldwide
These papers in applied mathematics have been carefully selected by a joint committee of the AMS, the Association for Symbolic Logic (ASL), and the Institute of Mathematical Statistics (IMS) from publications not otherwise translated into English. The translated papers are carefully edited prior to publication
9 editions published in 1985 in English and Undetermined and held by 15 WorldCat member libraries worldwide
These papers in applied mathematics have been carefully selected by a joint committee of the AMS, the Association for Symbolic Logic (ASL), and the Institute of Mathematical Statistics (IMS) from publications not otherwise translated into English. The translated papers are carefully edited prior to publication
Dynamical systems III by
V. I Arnolʹd(
Book
)
4 editions published in 1988 in English and Undetermined and held by 14 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
4 editions published in 1988 in English and Undetermined and held by 14 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
Gladkie dinamic̆eskie sistemy(
Book
)
5 editions published in 1977 in Russian and held by 14 WorldCat member libraries worldwide
5 editions published in 1977 in Russian and held by 14 WorldCat member libraries worldwide
Integrable systems nonholonomic dynamical systems by
V. I Arnolʹd(
Book
)
9 editions published between 1988 and 1994 in English and Undetermined and held by 12 WorldCat member libraries worldwide
This volume contains five surveys on dynamical systems. The first one deals with nonholonomic mechanics and gives an updated and systematic treatment ofthe geometry of distributions and of variational problems with nonintegrable constraints. The modern language of differential geometry used throughout the survey allows for a clear and unified exposition of the earlier work on nonholonomic problems. There is a detailed discussion of the dynamical properties of the nonholonomic geodesic flow and of various related concepts, such as nonholonomic exponential mapping, nonholonomic sphere, etc. Other surveys treat various aspects of integrable Hamiltonian systems, with an emphasis on Liealgebraic constructions. Among the topics covered are: the generalized CalogeroMoser systems based on root systems of simple Lie algebras, a ge neral rmatrix scheme for constructing integrable systems and Lax pairs, links with finitegap integration theory, topologicalaspects of integrable systems, integrable tops, etc. One of the surveys gives a thorough analysis of a family of quantum integrable systems (Toda lattices) using the machinery of representation theory. Readers will find all the new differential geometric and Liealgebraic methods which are currently used in the theory of integrable systems in this book. It will be indispensable to graduate students and researchers in mathematics and theoretical physics
9 editions published between 1988 and 1994 in English and Undetermined and held by 12 WorldCat member libraries worldwide
This volume contains five surveys on dynamical systems. The first one deals with nonholonomic mechanics and gives an updated and systematic treatment ofthe geometry of distributions and of variational problems with nonintegrable constraints. The modern language of differential geometry used throughout the survey allows for a clear and unified exposition of the earlier work on nonholonomic problems. There is a detailed discussion of the dynamical properties of the nonholonomic geodesic flow and of various related concepts, such as nonholonomic exponential mapping, nonholonomic sphere, etc. Other surveys treat various aspects of integrable Hamiltonian systems, with an emphasis on Liealgebraic constructions. Among the topics covered are: the generalized CalogeroMoser systems based on root systems of simple Lie algebras, a ge neral rmatrix scheme for constructing integrable systems and Lax pairs, links with finitegap integration theory, topologicalaspects of integrable systems, integrable tops, etc. One of the surveys gives a thorough analysis of a family of quantum integrable systems (Toda lattices) using the machinery of representation theory. Readers will find all the new differential geometric and Liealgebraic methods which are currently used in the theory of integrable systems in this book. It will be indispensable to graduate students and researchers in mathematics and theoretical physics
Nonlocal asymptotic behavior of curves and leaves of laminations on universal coverings by
D. V Anosov(
Book
)
5 editions published in 2005 in English and held by 9 WorldCat member libraries worldwide
5 editions published in 2005 in English 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
ThirtyOne Invited Addresses (Eight in Abstract) at the International Congress of Mathematicians in Moscow, 1966 by
M. A Aĭzerman(
)
1 edition published in 1968 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 1968 in English and held by 0 WorldCat member libraries worldwide
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Related Identities
 Arnol·d, Vladimir I. Author Editor
 Bolibrukh, A. A. Honoree Dedicatee
 Sinaj, Jakov G.
 Matematicheskiĭ institut im. V.A. Steklova
 Gamkrelidze, Revaz V. Editor
 Mishchenko, E. F. (Evgeniĭ Frolovich) Editor
 Kozlov, Valerij V.
 Stepin, A. M. Editor
 Novikov, S.P. Editor
 International School of Dynamical Systems
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Associated Subjects
Anosov, D. V Bolibrukh, A. A Boundary value problems Celestial mechanics Cell aggregationMathematics Chaotic behavior in systems Differentiable dynamical systems Differentiable mappings Differential equations Differential equations, Hyperbolic Differential topology Ergodic theory Geodesic flows Geometry Geometry, Algebraic 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 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
Dmitri Anosov matemático ruso
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
Дмитрий Викторович Аносов
दिमित्री व्हिक्टोरोविच अनोसोव्ह
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