Chaotic Behaviour of Deterministic Dissipative Systems


Book Description

This graduate text surveys both the theoretical and experimental aspects of deterministic chaotic behaviour.







Deterministic Chaos


Book Description




Dissipative Structures and Weak Turbulence


Book Description

Dissipative Structure and Weak Turbulence provides an understanding of the emergence and evolution of structures in macroscopic systems. This book discusses the emergence of dissipative structures. Organized into 10 chapters, this book begins with an overview of the stability of a fluid layer with potentially unstable density stratification in the field of gravity. This text then explains the theoretical description of the dynamics of a given system at a formal level. Other chapters consider several examples of how such simplified models can be derived, complicating the picture progressively to account for other phenomena. This book discusses as well the theory and experiments on plain Rayleigh–Bénard convection by setting first the theoretical frame and deriving the analytical solution of the marginal stability problem. The final chapter deals with building a bridge between chaos as studied in weakly confined systems and more advanced turbulence in the most conventional sense. This book is a valuable resource for physicists.




Elementary Symbolic Dynamics and Chaos in Dissipative Systems


Book Description

This book is a monograph on chaos in dissipative systems written for those working in the physical sciences. Emphasis is on symbolic description of the dynamics and various characteristics of the attractors, and written from the view-point of practical applications without going into formal mathematical rigour. The author used elementary mathematics and calculus, and relied on physical intuition whenever possible. Substantial attention is paid to numerical techniques in the study of chaos. Part of the book is based on the publications of Chinese researchers, including those of the author's collaborators.




Chaos, Noise and Fractals


Book Description

The study of nonlinear dynamical systems has been gathering momentum since the late 1950s. It now constitutes one of the major research areas of modern theoretical physics. The twin themes of fractals and chaos, which are linked by attracting sets in chaotic systems that are fractal in structure, are currently generating a great deal of excitement. The degree of structure robustness in the presence of stochastic and quantum noise is thus a topic of interest. Chaos, Noise and Fractals discusses the role of fractals in quantum mechanics, the influence of phase noise in chaos and driven optical systems, and the arithmetic of chaos. The book represents a balanced overview of the field and is a worthy addition to the reading lists of researchers and students interested in any of the varied, and sometimes bizarre, aspects of this intriguing subject.




Unsteady State Processes in Catalysis


Book Description

In the last decades the investigation methods of unsteady state catalytic processes have been widely developed by the response-technique methods. From this research emerged the realization that under unsteady state conditions and, especially under artificially created ones, it is possible to increase the productivity or selectivity of a catalyst or a catalytical process as a whole. The scientific literature in this field is mostly theoretical and aims at structuring and analysing mathematical models of unsteady state catalytical processes. In this book the theoretical and applied aspects of an efficiency of artificially created unsteady conditions in catalysis are discussed. It contains the lectures from researchers from all over the world that were held during the International Conference ''Unsteady State Processes in Catalysis'', 5--8 June 1990, Novosibirsk (USSR). Topics include: -- The problems of dynamics of a catalyst surface -- Kinetic models of unsteady processes -- Dynamics of chemical reactors -- Artificially created unsteady processes in a catalytic reactor.




Dynamical Analysis of Vehicle Systems


Book Description

This volume presents an integrated approach of the common fundamentals of rail and road vehicles based on multibody system dynamics, rolling wheel contact and control system design. The methods presented allow an efficient and reliable analysis of the resulting state equations. The book provides also a better understanding of the basic physical phenomena of vehicle dynamics. Particular attention is paid to developments of future rail and road vehicles including motorcycles.




Handbook of Mathematics


Book Description

This incredibly useful guide book to mathematics contains the fundamental working knowledge of mathematics which is needed as an everyday guide for working scientists and engineers, as well as for students. Now in its fifth updated edition, it is easy to understand, and convenient to use. Inside you’ll find the information necessary to evaluate most problems which occur in concrete applications. In the newer editions emphasis was laid on those fields of mathematics that became more important for the formulation and modeling of technical and natural processes. For the 5th edition, the chapters "Computer Algebra Systems" and "Dynamical Systems and Chaos" have been revised, updated and expanded.




Topological Aspects Of Critical Systems And Networks (With Cd-rom) - Proceedings Of The International Symposium


Book Description

This volume gives an interdisciplinary discussion on the topological aspects of general networks and critical systems for physicists, chemists, biologists, mathematicians, medical scientists, social scientists, and other related researchers. Subjects as diverse as the general properties of complex networks, complexity in social science, patterns in biological objects, and criticality in pure and applied physics are represented. The book is essential for researchers in a wide range of scientific and technological fields related to these areas.