Eckmann J.-P., Ruelle D. Ergodic Theory of Chaos and Strange Attractors

New York: Springer, 1996. - 612 pp. На англ. яз. Chaos: An Introduction to Dynamical Systems is a new textbook aimed at introducing the world of nonlinear dynamics and chaos to students in mathematics and the sciences. The authors' goal is to explain the basic concepts in a way that reflects the wide range of influences present during the development of nonlinear dynamics, from mathematics, theoretical science, experimental science, and computer...

Taylor & Francis, 2002. - 580 pages. The field of nonlinear dynamics and low-dimensional chaos has developed rapidly over the past twenty years. The principal advances have been in theoretical aspects but more recent applications in a wide variety of the sciences have been made. Nonlinear Dynamics and Chaos in Semiconductors is the first book to concentrate on specific physical and experimental situations in semiconductors as well as examine...

Contents. Acknowledgements. ntroduction. The chaos game. Attractors of iterated function systems. Another chaos game. Codes, metrics and topologies. ntroduction. Points and spaces. Functions, mappings and transformations. Addresses and code spaces. Metric spaces. Metrics on code space. Cauchy sequences, limits and continuity. Topological spaces. mportant basic topologies. Some key topological invariants. Compact sets and spaces. The Hausdorff met...

World Scientific Publishing Company, 2004. - 528 pages. The study of attractors of dynamical systems occupies an important position in the modern qualitative theory of differential equations. This engaging volume presents an authoritative overview of both autonomous and non-autonomous dynamical systems, including the global compact attractor. From an in-depth introduction to the different types of dissipativity and attraction, the book takes a c...

Springer-verlag, 2008. 352 р. ISBN 978-3-540-63893-3 (2nd ed. ) This new edition strives yet again to provide readers with a working knowledge of chaos theory and dynamical systems through parallel introductory explanations in the book and interaction with carefully-selected programs supplied on the accompanying diskette. The programs enable readers, especially advanced-undergraduate students in physics, engineering, and math, to tackle relevant...

Название: Lorenz E. , The Essence of Chaos. Издательство: University of Washington. Год: 1996. ISBN-10: 0295975148. The study of chaotic systems has become a major scientific pursuit in recent years, shedding light on the apparently random behaviour observed in fields as diverse as climatology and mechanics. InThe Essence of Chaos Edward Lorenz, one of the founding fathers of Chaos and the originator of its seminal concept of the Butterfly Effect...

Princeton University Press, 1991. - 214 pages. How do scientists look at chance, or randomness, and chaos in physical systems? In answering this question for a general audience, Ruelle writes in the best French tradition: he has produced an authoritative and elegant book--a model of clarity, succinctness, and a humor bordering at times on the sardonic. "Chance has its reason, " says Petronius, but we may ask: what reason? and what is chance? h...

4th, Revised and Enlarged Edition. WILEY-VCH Verlag GmbH & Co. KGaA, 2005. – 299 pages. Contents: Introduction Experiments and Simple Models Piecewise Linear Maps and Deterministic Chaos Universal Behavior of Quadratic Maps The Intermittency Route to Chaos Strange Attractors in Dissipative Dynamical Systems The Transition from Quasiperiodicity to Chaos Regular and Irregular Motion in Conservative Systems Chaos in Quantum Systems? Controlling...

Springer. Second, Expanded and Revised Edition. General Ergodic Theory of Groups of Measure Preserving Transformations, Ergodic Theory of Smooth Dynamical Systems, Dynamical Systems on Homogeneous Spaces, The Dynamics of Billiard Flows in Rational Polygons, Dynamical Systems of Statistical Mechanics and Kinetic Equations.

Chapman and Hall/CRC, 2008, 364 p. Chaotic Modelling and Simulation: Analysis of Chaotic Models, Attractors and Forms presents the main models developed by pioneers of chaos theory, along with new extensions and variations of these models. Using more than 500 graphs and illustrations, the authors show how to design, estimate, and test an array of models. Requiring little prior knowledge of mathematics, the book focuses on classical forms and attr...