GAMBAUDO J-M HUBERT P (EN) — DYNAMICAL SYSTEMS

DYNAMICAL SYSTEMS краткое содержание

DYNAMICAL SYSTEMS - описание и краткое содержание, автор GAMBAUDO J-M HUBERT P (EN), читать бесплатно онлайн на сайте электронной библиотеки Lib-King.Ru.

This book focuses on the interactions between discrete and geometric dynamical systems, and between dynamical systems and theoretical physics and computer science. Accordingly, the contributions revolve around two main topics: (1) interaction between geometric and symbolic systems, with emphasis on tiling problems for quasicrystals, substitutions and their multidimensional generalizations, geodesic and horocycle flow, adic systems; (2) dynamical systems: geometry and chaos, with special interest in smooth ergodic theory, statistical and multifractal properties of chaotic systems, stability and turbulence in extended complex systems.Contents: Complex Behavior in Extended System: Beyond the Lyapunov Exponent (M Cencini et al.)Generic Points via Large Deviation Theory (J T Lewis et al.)Geometry, Dynamics and Thermodynamics (H H Rugh)Iteration of Maps by Primitive Substitutive Sequences (C Holton & L Q Zamboni)Certain Partitions of a Lattice (J-I Tamura)Report on the Dynamics of Certain Piecewise Isometries of the Torus (R Adler et al.)Branched Coverings and Closed Geodesics in Flat Surfaces, with Applications to Billiards (E Gutkin)Interval Translation Mappings (J Schmeling & S Troubetkoy)and other papersReadership: Graduates and researchers in chaos and dynamical systems.Key Features:Scientific aspects are dealt with using layman terms; care is taken to explain technical pointsThe text is enlivened with humorous cartoons and illustrationsAn appendix which goes into more detail on isolated topics, and contains references for further reading