Kozlov, V. V. (Valeriĭ Viktorovich)Overview
Most widely held works by
V. V Kozlov
Symmetries, topology, and resonances in Hamiltonian mechanics
by V. V Kozlov
(
Book
)
13 editions published between 1995 and 2012 in English and held by 311 WorldCat member libraries worldwide John Hornstein has written about the author's theorem on nonintegrability of geodesic flows on closed surfaces of genus greater than one: "Here is an example of how differential geometry, differential and algebraic topology, and Newton's laws make music together" (Amer. Math. Monthly, November 1989). Kozlov's book is a systematic introduction to the problem of exact integration of equations of dynamics. The key to the solution is to find nontrivial symmetries of Hamiltonian systems. After Poincaré's work it became clear that topological considerations and the analysis of resonance phenomena play a crucial role in the problem on the existence of symmetry fields and nontrivial conservation laws
Billiards : a genetic introduction to the dynamics of systems with impacts
by V. V Kozlov
(
Book
)
6 editions published in 1991 in English and held by 276 WorldCat member libraries worldwide
Asymptotic solutions of strongly nonlinear systems of differential equations
by V. V Kozlov
(
)
8 editions published between 2011 and 2013 in English and held by 270 WorldCat member libraries worldwide The book is dedicated to the construction of particular solutions of systems of ordinary differential equations in the form of series that are analogous to those used in Lyapunov's first method. A prominent place is given to asymptotic solutions that tend to an equilibrium position, especially in the strongly nonlinear case, where the existence of such solutions can't be inferred on the basis of the first approximation alone. The book is illustrated with a large number of concrete examples of systems in which the presence of a particular solution of a certain class is related to special proper
Dynamical systems in classical mechanics
(
Book
)
6 editions published in 1995 in English and Undetermined and held by 211 WorldCat member libraries worldwide
Traffic and Granular Flow '11
by Valery V Kozlov
(
)
1 edition published in 2013 in English and held by 172 WorldCat member libraries worldwide This book continues the biannual series of conference proceedings, which has become a classical reference resource in traffic and granular research alike. It addresses new developments at the interface between physics, engineering and computational science. Complex systems, where many simple agents, be they vehicles or particles, give rise to surprising and fascinating phenomena. The contributions collected in these proceedings cover several research fields, all of which deal with transport. Topics include highway, pedestrian and internet traffic, granular matter, biological transport, transport networks, data acquisition, data analysis and technological applications. Different perspectives, i.e. modeling, simulations, experiments and phenomenological observations, are considered
Mathematical aspects of classical and celestial mechanics
by V. I Arnolʹd
(
Book
)
23 editions published between 1993 and 2006 in English and German and held by 110 WorldCat member libraries worldwide "This work describes the fundamental principles, problems, and methods of classical mechanics. The main attention is devoted to the mathematical side of the subject. The authors have endeavored to give an exposition stressing the working apparatus of classical mechanics. The book is significantly expanded compared to the previous edition. The authors have added two chapters on the variational principles and methods of classical mechanics as well as on tensor invariants of equations of dynamics. Moreover, various other sections have been revised, added or expanded." "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 book addresses all mathematicians, physicists and engineers."Jacket
Dynamical systems X : general theory of vortices
by V. V Kozlov
(
Book
)
12 editions published between 1988 and 2003 in English and German and held by 97 WorldCat member libraries worldwide This book contains a mathematical exposition of analogies between classical (Hamiltonian) mechanics, geometrical optics, and hydrodynamics. This theory highlights several general mathematical ideas that appeared in Hamiltonian mechanics, optics and hydrodynamics under different names. In addition, some interesting applications of the general theory of vortices are discussed in the book such as applications in numerical methods, stability theory, and the theory of exact integration of equations of dynamics. The investigation of families of trajectories of Hamiltonian systems can be reduced to problems of multidimensional ideal fluid dynamics. For example, the wellknown HamiltonJacobi method corresponds to the case of potential flows. The book will be of great interest to researchers and postgraduate students interested in mathematical physics, mechanics, and the theory of differential equations
Dynamical systems
by D. V Anosov
(
Book
)
1 edition published in 1995 in English and held by 57 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
Singularity theory I
by V. I Arnolʹd
(
Book
)
1 edition published in 1993 in English and held by 44 WorldCat member libraries worldwide From the reviews of the first printing of this book, published as volume 6 of the Encyclopaedia of Mathematical Sciences: "... My general impression is of a particularly nice book, with a wellbalanced bibliography, recommended!" Medelingen van Het Wiskundig Genootschap, 1995 "... The authors offer here an up to date guide to the topic and its main applications, including a number of new results. It is very convenient for the reader, a carefully prepared and extensive bibliography ... makes it easy to find the necessary details when needed. The books (EMS 6 and EMS 39) describe a lot of interesting topics. ... Both volumes are a very valuable addition to the library of any mathematician or physicist interested in modern mathematical analysis." European Mathematical Society Newsletter, 1994 "...The authors are recognized experts in their fields and so are ideal choices to write such a survey. ...The text of the book is liberally sprinkled with illustrative examples and so the style is not heavy going or turgid... The bibliography is very good and extremely large ..." IMS Bulletin, 1995
Integrable and nonintegrble Hamiltonian systems
by V. V Kozlov
(
Book
)
3 editions published in 1989 in English and held by 18 WorldCat member libraries worldwide
A memoir on integrable systems
by Yu. N Fedorov
(
Book
)
6 editions published between 1998 and 2008 in English and Undetermined and held by 15 WorldCat member libraries worldwide
Dynamical systems III
by V. I Arnolʹd
(
Book
)
1 edition published in 1988 in English and held by 13 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
Ergodic theory with applications to dynamical systems and statistical mechanics
(
Book
)
1 edition published in 1989 in English and held by 11 WorldCat member libraries worldwide
Dinamika upravlenii︠a︡ robotami
(
Book
)
1 edition published in 1984 in Russian and held by 8 WorldCat member libraries worldwide
Billiardy : geneticheskoe vvedenie v dinamiku sistem s udarami
by V. V Kozlov
(
Book
)
3 editions published in 1991 in Russian and held by 8 WorldCat member libraries worldwide
Dynamical systems
by V. I Arnolʹd
(
Book
)
2 editions published in 2006 in English and held by 8 WorldCat member libraries worldwide
Modern problems of mechanics : collected papers dedicated to Academician Andrei Gennad'evich Kulikovskii on the occasion of this 80th birthday
(
Book
)
1 edition published in 2013 in English and held by 5 WorldCat member libraries worldwide
Dynamical systems
by D. V Anosov
(
Book
)
in English and held by 4 WorldCat member libraries worldwide
Metody kačestvennogo analiza v dinamike tverdogo tela
by V. V Kozlov
(
Book
)
2 editions published in 1980 in Russian and held by 3 WorldCat member libraries worldwide
Skleivanie betona
by Valentin Gavrilovič Mikulʹskij
(
Book
)
1 edition published in 1975 in Russian and held by 3 WorldCat member libraries worldwide more
fewer
Audience Level
Related Identities
Associated Subjects
Abelian varieties Celestial mechanics Cell aggregationMathematics Chaotic behavior in systems Differentiable dynamical systems Differential equations Differential equations, Hyperbolic Differential equations, Partial Differential equationsAsymptotic theory Dynamics Engineering Ergodic theory Geometry Geometry, Algebraic Global analysis (Mathematics) Granular computing Granular materialsFluid dynamicsMathematical models Hamiltonian systems Hyperbolic spaces Impact Mathematical physics Mathematics Measurepreserving transformations Mechanics Mechanics, Analytic Physics Robotics Singularities (Mathematics) Spectral theory (Mathematics) Statistical mechanics Symmetry (Physics) Tensor algebra Topological groups Topology Traffic flowData processing TransportationData processing TransportationSimulation methods Vortexmotion

Alternative Names
Kozlov, V. V.
Kozlov, Valerii V.
Kozlov, Valeriĭ Viktorovich
Kozlov, Valeriĭ Viktorovich, 1950....
Kozlov, Valerij V.
Kozlov, Valerij Viktorovič.
Kozlov, Valery
Kozlov, Valery V.
Kozlov, Valery V., 1950....
Languages
Covers
