Author: D. V. Anosov
Publisher: Springer
Keywords: dynamical, systems, mathematical, sciences, behaviour, hyperbolic, encyclopaedia
Number of Pages: 242
Published: 1995-10
List price: $139.00
ISBN-10: 0387570438
ISBN-13: 9780387570433

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 h

Author: D. V. Anosov
Publisher: Amer Mathematical Society
Keywords: probability, statistics, mathematical, selected, translations, amp
Published: 1978-07
List price: $92.00
ISBN-10: 0821814648
ISBN-13: 9780821814642

Authors:D.V. Anosov, A.A. Bolibruch,
Publisher: Friedrich Vieweg & Sohn Verlag
Keywords: mathematics, aspects, problem, hilbert, riemann
Number of Pages: 201
Published: 1994-10
List price: unknow
ISBN-10: 352806496X
ISBN-13: 9783528064969

The Riemann-Hilbert problem deals with linear systems of ordinary differential euqations in the complex domain. Namely, the question is whether there is a Fuchsian system with prescribed singularities and monodromy. Hilbert was, in fact, convinced that such a system does always exist. However, as it turned out only recently this is one of the very rare cases of a wrong prediction by him. In 1989, the second author of this book, A. Bolibruch, discovered a counterexample, thus giving a negative answer to Hilbert’s famous 21st problem in its original form. This fact has immediately changed