Bolotin Y., Tur A., Yanovsky V. Chaos: Concepts, Control and Constructive Use

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...

1st ed. Springer-Verlag Berlin Heidelberg New York, 1994, 1999. 312 p. ISBN:3-540-57457-3. 2nd ed. Springer-Verlag Berlin Heidelberg New York, 1994, 1999. 312 p. ISBN:3-540-63893-8. Table of Contents. Overview and Basic Concepts. Nonlinear Dynamics and Deterministic Chaos. Billiard Systems. Gravitational Billiards: The Wedge. The Double Pendulum. Chaotic Scattering. Fermi Acceleration. The Duffing Oscillator. Feigenbaum Scenario. Nonlinear Electr...

Springer, 2011. - 538 pages. In a dynamical system, transients are temporal evolutions preceding the asymptotic dynamics. Transient dynamics can be more relevant than the asymptotic states of the system in terms of the observation, modeling, prediction, and control of the system. As a result, transients are important to dynamical systems arising from a wide range of disciplines such as physics, chemistry, biology, engineering, economics, and eve...

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...

World Scientific Publishing Company, 2004. - 408 pages. This book is an introduction to the application of nonlinear dynamics to problems of stability, chaos and turbulence arising in continuous media and their connection to dynamical systems. With an emphasis on the understanding of basic concepts, it should be of interest to nearly any science-oriented undergraduate and potentially to anyone who wants to learn about recent advances in the fiel...

Springer, 1999. - 704 pages. There has been a great deal of excitement over the last few years concerning the emergence of new mathematical techniques for the analysis and control of nonlinear systems: witness the emergence of a set of simplified tools for the analysis of bifurcations, chaos and other complicated dynamical behaviour and the development of a comprehensive theory of nonlinear control. Coupled with this set of analytic advances has...

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...

Oxford University Press, 2007, 180 pages Chaos exists in systems all around us. Even the simplest system can be subject to chaos, denying us accurate predictions of its behavior, and sometimes giving rise to astonishing structures of large-scale order. Here, Leonard Smith shows that we all have an intuitive understanding of chaotic systems. He uses accessible math and physics to explain Chaos Theory, and points to numerous examples in philosoph...

Addison Wesley Publishing, 1994. - 498 pages. An introductory text in nonlinear dynamics and chaos, emphasizing applications in several areas of science, which include vibrations, biological rhythms, insect outbreaks, and genetic control systems. Contains a rich selection of illustrations, with many exercises and examples.

InTech, 2011. - 310 pages. This book presents a collection of major developments in chaos systems covering aspects on chaotic behavioral modeling and simulation, control and synchronization of chaos systems, and applications like secure communications. It is a good source to acquire recent knowledge and ideas for future research on chaos systems and to develop experiments applied to real life problems. That way, this book is very interesting for...