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The control of complex systems is one of the most important aspects in dealing with systems exhibiting nonlinear behaviour or similar features that defy traditional control techniques. This specific subject is gradually becoming known as cybernetical physics, borrowing methods from both theoretical physics and control engineering. This book is, perhaps, the first attempt to present a unified exposition of the subject and methodology of cybernetical physics as well as solutions to some of its problems. Emphasis of the book is on the examination of fundamental limits on energy transformation by means of control procedures in both conservative and dissipative systems. A survey of application in physics includes the control of chaos, synchronisation of coupled oscillators, pendulum chains, reactions in physical chemistry and of quantum systems such as the dissociation of diatomic molecules. This book has been written having researchers from various backgrounds in physics, mathematics and engineering in mind and is thus also suitable as introduction to graduate students working on the understanding of a broad range of complex systems in the natural sciences.

Classical mechanics. Field theory --- Engineering sciences. Technology --- Computer science --- chaos --- informatica --- systeemtheorie --- systeembeheer --- dynamica

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Mathematical physics --- Physics --- Biomathematics. Biometry. Biostatistics --- Computer science --- toegepaste wetenschappen --- chaos --- biomathematica --- informatica --- biometrie --- wiskunde --- fysica

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This book provides a complete understanding of chaotic dynamics in maths, physics, and the real world, with an explanation of why it is important and how it differs from the idea of randomness. The author draws on certain physical systems and phenomena, for example the weather forecast, and the role of chaos in gambling.

Chaotic behavior in systems --- Differentiable dynamical systems. --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Differential equations --- Global analysis (Mathematics) --- Topological dynamics --- Chaos in systems --- Chaos theory --- Chaotic motion in systems --- Differentiable dynamical systems --- Dynamics --- Nonlinear theories --- System theory --- VSI --- chaos --- horizoncollectie

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This book focuses on the development of Melnikov-type methods applied to high dimensional dynamical systems governed by ordinary differential equations. Although the classical Melnikov's technique has found various applications in predicting homoclinic intersections, it is devoted only to the analysis of three-dimensional systems (in the case of mechanics, they represent one-degree-of-freedom nonautonomous systems). This book extends the classical Melnikov's approach to the study of high dimensional dynamical systems, and uses simple models of dry friction to analytically predict the occurren

Chaotic behavior in systems. --- Differentiable dynamical systems. --- Nonlinear oscillators. --- Oscillators, Nonlinear --- Oscillators, Electric --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Differential equations --- Global analysis (Mathematics) --- Topological dynamics --- Chaos in systems --- Chaos theory --- Chaotic motion in systems --- Differentiable dynamical systems --- Dynamics --- Nonlinear theories --- System theory

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This monograph describes fascinating recent progress in the field of chaos, stability and instability of semiconductor lasers. Applications and future prospects are discussed in detail. The book emphasizes the various dynamics induced in semiconductor lasers by optical and electronic feedback, optical injection, and injection current modulation. Recent results of both theoretical and experimental investigations are presented. Demonstrating applications of semiconductor laser chaos, control and noise, Semiconductor Lasers describes suppression and chaotic secure communications. For those who are interested in optics but not familiar with nonlinear systems, a brief introduction to chaos analysis is presented.

Semiconductor lasers --- Chaotic behavior in systems --- Nonlinear systems --- Lasers à semiconducteurs --- Chaos --- Systèmes non linéaires --- Applied Physics --- Engineering & Applied Sciences --- Semiconductor lasers. --- Chaotic behavior in systems. --- Nonlinear systems. --- Lasers à semiconducteurs --- Systèmes non linéaires --- EPUB-LIV-FT SPRINGER-B --- Systems, Nonlinear --- Chaos in systems --- Chaos theory --- Chaotic motion in systems --- Physics. --- Quantum optics. --- Semiconductors. --- Lasers. --- Photonics. --- Engineering. --- Quantum Optics. --- Laser Technology, Photonics. --- Engineering, general. --- System theory --- Differentiable dynamical systems --- Dynamics --- Nonlinear theories --- Lasers --- Optics, Lasers, Photonics, Optical Devices. --- Construction --- Industrial arts --- Technology --- New optics --- Optics --- Light amplification by stimulated emission of radiation --- Masers, Optical --- Optical masers --- Light amplifiers --- Light sources --- Optoelectronic devices --- Nonlinear optics --- Optical parametric oscillators --- Photons --- Quantum theory --- Crystalline semiconductors --- Semi-conductors --- Semiconducting materials --- Semiconductor devices --- Crystals --- Electrical engineering --- Electronics --- Solid state electronics --- Materials --- Design and construction.