Download or read book Chaotic Behaviour of Deterministic Systems written by Gérard Iooss and published by North-Holland. This book was released on 1983 with total page 752 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Dynamic Modelling Bifurcation and Chaotic Behaviour of Gas Solid Catalytic Reactors written by S. S. E. H. Elnashaie and published by CRC Press. This book was released on 1996-03-18 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Dissipative Structures and Weak Turbulence written by and published by Academic Press. This book was released on 2014-06-28 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Deterministic Chaos written by Heinz Georg Schuster and published by Jacaranda. This book was released on 1988 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book New Advances on Chaotic Intermittency and its Applications written by Sergio Elaskar and published by Springer. This book was released on 2016-12-14 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most important routes to chaos is the chaotic intermittency. However, there are many cases that do not agree with the classical theoretical predictions. In this book, an extended theory for intermittency in one-dimensional maps is presented. A new general methodology to evaluate the reinjection probability density function (RPD) is developed in Chapters 5 to 8. The key of this formulation is the introduction of a new function, called M(x), which is used to calculate the RPD function. The function M(x) depends on two integrals. This characteristic reduces the influence on the statistical fluctuations in the data series. Also, the function M(x) is easy to evaluate from the data series, even for a small number of numerical or experimental data. As a result, a more general form for the RPD is found; where the classical theory based on uniform reinjection is recovered as a particular case. The characteristic exponent traditionally used to characterize the intermittency type, is now a function depending on the whole map, not just on the local map. Also, a new analytical approach to obtain the RPD from the mathematical expression of the map is presented. In this way all cases of non standard intermittencies are included in the same frame work. This methodology is extended to evaluate the noisy reinjection probability density function (NRPD), the noisy probability of the laminar length and the noisy characteristic relation. This is an important difference with respect to the classical approach based on the Fokker-Plank equation or Renormalization Group theory, where the noise effect was usually considered just on the local Poincaré map. Finally, in Chapter 9, a new scheme to evaluate the RPD function using the Perron-Frobenius operator is developed. Along the book examples of applications are described, which have shown very good agreement with numerical computations.
Download or read book Elementary Symbolic Dynamics and Chaos in Dissipative Systems written by Bai-Lin Hao and published by World Scientific. This book was released on 1989 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Nonlinear Dynamics Chaotic and Complex Systems written by Eryk Infeld and published by Cambridge University Press. This book was released on 1997-06-19 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: The physics and mathematics of nonlinear dynamics, chaotic and complex systems constitute some of the most fascinating developments of late twentieth century science. It turns out that chaotic bahaviour can be understood, and even utilized, to a far greater degree than had been suspected. Surprisingly, universal constants have been discovered. The implications have changed our understanding of important phenomena in physics, biology, chemistry, economics, medicine and numerous other fields of human endeavor. In this book, two dozen scientists and mathematicians who were deeply involved in the "nonlinear revolution" cover most of the basic aspects of the field.
Download or read book Chaos In Nonlinear Oscillators Controlling And Synchronization written by M Lakshmanan and published by World Scientific. This book was released on 1996-06-28 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the bifurcation and chaotic aspects of damped and driven nonlinear oscillators. The analytical and numerical aspects of the chaotic dynamics of these oscillators are covered, together with appropriate experimental studies using nonlinear electronic circuits. Recent exciting developments in chaos research are also discussed, such as the control and synchronization of chaos and possible technological applications.
Download or read book Chaotic and Stochastic Behaviour in Automatic Production Lines written by Max-Olivier Hongler and published by Springer Science & Business Media. This book was released on 1994-07-26 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inspired by the general configuration characteristics of automatic production lines, the author discusses the modelisation of important sectors of a factory. Typical topics such as parts feeders, part orienting devices, insertion mechanisms and buffered flows are analysed using random evolution models and non-linear dynamical systems theory.
Download or read book Chaos Noise and Fractals written by E. Roy Pike and published by CRC Press. This book was released on 2020-08-26 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Chaos And Fractals In Chemical Engineering Proceedings Of The First National Conference written by Giuseppe Biardi and published by World Scientific. This book was released on 1995-01-16 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This conference focused on the current research and future perspectives on the application of disordered systems theory, fractals and chaotic dynamical systems to chemical engineering problems. The contributions published here are organised around 4 main themes: Chaos (Analysis and Control) in Reactors and Reacting Systems; Transport in Disordered Media; Time-Series Analysis; and Multiphase Flow Characterization.
Download or read book Nonlinear And Parametric Phenomena Theory And Applications In Radiophysical And Mechanical Systems written by Vladimir Nikolov Damgov and published by World Scientific. This book was released on 2004-11-22 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book comprises a broad panorama of phenomena occurring in four major classes of radiophysical and mechanical systems — linear, nonlinear, parametric, and nonlinear-parametric. An analytical technique for the broad circle of issues under consideration is developed. It is presented in a user-friendly form, allowing its further direct application in research practices.Analytical methods are presented for investigating modulation-parametric and nonlinear systems, oscillating systems with periodic and almost periodic time-dependent parameters, effects of adaptive self-organization in coupled resonance systems and oscillating systems under the action of external forces, nonlinear with respect to the coordinates of excited systems.Of an interdisciplinary nature, this volume can serve as a handbook for developing lecture courses such as Fundamentals of Nonlinear Dynamics and Theory of Nonlinear Oscillations, Theory of Nonlinear Circuits and Systems, Fundamentals of Radiophysics and Electronics, Theory of Signals and Theoretical Radiophysics, Theoretical Mechanics and Electrodynamics.
Download or read book Reviews in Computational Chemistry Volume 10 written by Kenny B. Lipkowitz and published by John Wiley & Sons. This book was released on 2009-09-22 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Not only a major reference work for sale to the library market, Reviews in Computational Chemistry is now a purchase by individuals due to the explosive growth in the use of computational chemistry throughout many scientific disciplines. In an instructional and nonmathematical style, these books provide an access to computational methods often outside a researcher's area of expertise. Volumes 9 & 10 represent the next two volumes in the successful series designed to help the chemistry community keep current with the many new developments in computational techniques. Many chapters are written as tutorials to introduce the many facets of computational chemistry, including molecular modeling, computer-assisted molecular design (CAMD), quantum chemistry, molecular mechanics and dynamics, and quantitative structure-activity relationships (QSAR). The authors provide necessary background and theory, strategies for implementing the methods, pitfalls to avoid, applications, and references.
Download or read book Mathematical Methods in Contemporary Chemistry written by Kuchanov and published by CRC Press. This book was released on 1996-03-20 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fractals and Chaos written by Paul S. Addison and published by CRC Press. This book was released on 1997-01-01 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractals and Chaos: An Illustrated Course provides you with a practical, elementary introduction to fractal geometry and chaotic dynamics-subjects that have attracted immense interest throughout the scientific and engineering disciplines. The book may be used in part or as a whole to form an introductory course in either or both subject areas. A prominent feature of the book is the use of many illustrations to convey the concepts required for comprehension of the subject. In addition, plenty of problems are provided to test understanding. Advanced mathematics is avoided in order to provide a concise treatment and speed the reader through the subject areas. The book can be used as a text for undergraduate courses or for self-study.
Download or read book Chaos in Chemistry and Biochemistry written by Richard J. Field and published by World Scientific. This book was released on 1993 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: True deterministic chaos is characterized by unpredictable, apparently random motion in a dynamical system completely described by a deterministic dynamic law, usually a nonlinear differential equation, with no stochastic component. The inability to predict future behavior of a chaotic system occurs because trajectories evolving from arbitrarily close initial conditions diverge. Chaos is universal as it may arise in any system governed by one of a class of quite common, suitable nonlinear dynamic laws. This book discusses both the experimental observation and theoretical interpretation of chaos in chemical and biochemical systems. Examples are drawn from the Belousov-Zhabotinsky reaction, surface reactions, electrochemical reactions, enzyme reactions, and periodically perturbed oscillating systems.
Download or read book Analytical Mechanics written by Louis N. Hand and published by Cambridge University Press. This book was released on 1998-11-13 with total page 569 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analytical Mechanics, first published in 1999, provides a detailed introduction to the key analytical techniques of classical mechanics, one of the cornerstones of physics. It deals with all the important subjects encountered in an undergraduate course and prepares the reader thoroughly for further study at graduate level. The authors set out the fundamentals of Lagrangian and Hamiltonian mechanics early on in the book and go on to cover such topics as linear oscillators, planetary orbits, rigid-body motion, small vibrations, nonlinear dynamics, chaos, and special relativity. A special feature is the inclusion of many 'e-mail questions', which are intended to facilitate dialogue between the student and instructor. Many worked examples are given, and there are 250 homework exercises to help students gain confidence and proficiency in problem-solving. It is an ideal textbook for undergraduate courses in classical mechanics, and provides a sound foundation for graduate study.
