Download or read book Weak Chaos and Quasi Regular Patterns written by George M. Zaslavsky and published by Cambridge University Press. This book was released on 1992-08-06 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, the first in the Cambridge Nonlinear Science Series, presents the fundamentals of chaos theory in conservative systems, providing a systematic study of the theory of transitional states of physical systems which lie between deterministic and chaotic behaviour.
Download or read book The Edge of Organization written by Russ Marion and published by SAGE Publications. This book was released on 1999-01-14 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: What Newton′s Principia was to his natural science colleagues, Russ Marion′s The Edge of Organization is to today′s social scientists. This book clearly elucidates the arrival of the social sciences at the end of the alley of modernism but then presents us with the tools and ideas to climb out of a dead end, rise above old limitations, and take flight for new horizons bright with promise for advancing both theory and praxis. . . . For social scientists, it is both the most relevant and most easily apprehended treatment to date of the totality of chaos and complexity theory and technique. --Raymond A. Eve, Editor, Chaos, Complexity, and Sociology The Edge of Organization offers a readable, comprehensive, and integrated overview of the new sciences of chaos and complexity. Author Russ Marion describes formal and social organizations from the perspective of chaos and complexity theories. His multidisciplinary approach will appeal to students and scholars across a wide range of social sciences. This book is generously illustrated and includes comprehensive references plus an annotated bibliography of useful books and articles. The Edge of Organization will appeal to students and professionals in sociology, management/ organization studies, management studies, marketing, political science, public administration, and psychology.
Download or read book Coherent Dynamics of Complex Quantum Systems written by Vladimir M. Akulin and published by Springer Science & Business Media. This book was released on 2005-12-21 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: Coherent Dynamics of Complex Quantum Systems is aimed at senior-level undergraduate students in the areas of atomic, molecular, and laser physics, physical chemistry, quantum optics and quantum informatics. It should help them put particular problems in these fields into a broader scientific context and thereby take advantage of the well-elaborated technique of the adjacent fields.
Download or read book Growth Patterns in Physical Sciences and Biology written by Jaun-Manuel Garcia-Ruiz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the past decade interest in the formation of complex disorderly patterns far from equilibrium has grown rapidly. This interest has been stim ulated by the development of new approaches (based primarily on fractal geometry) to the quantitative description of complex structures, increased understanding of non-linear phenomena and the introduction of a variety of models (such as the diffusion-limited aggregation model) that provide paradigms for non-equilibrium growth phenomena. Advances in computer technology have played a crucial role in both the experimental and theoret ical aspects of this enterprise. Substantial progress has been made towards the development of comprehensive understanding of non-equilibrium growth phenomena but most of our current understanding is based on simple com puter models. Pattern formation processes are important in almost all areas of science and technology, and, clearly, pattern growth pervades biology. Very often remarkably similar patterns are found in quite diverse systems. In some case (dielectric breakdown, electrodeposition, fluid-fluid displacement in porous media, dissolution patterns and random dendritic growth for example) the underlying causes of this similarity is quite well understood. In other cases (vascular trees, nerve cells and river networks for example) we do not yet know if a fundamental relationship exists between the mechanisms leading the formation of these structures.
Download or read book Chaos Dynamics and Fractals written by Joseph L. McCauley and published by Cambridge University Press. This book was released on 1994-05-26 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops deterministic chaos and fractals from the standpoint of iterated maps, but the emphasis makes it very different from all other books in the field. It provides the reader with an introduction to more recent developments, such as weak universality, multifractals, and shadowing, as well as to older subjects like universal critical exponents, devil's staircases and the Farey tree. The author uses a fully discrete method, a 'theoretical computer arithmetic', because finite (but not fixed) precision cannot be avoided in computation or experiment. This leads to a more general formulation in terms of symbolic dynamics and to the idea of weak universality. The connection is made with Turing's ideas of computable numbers and it is explained why the continuum approach leads to predictions that are not necessarily realized in computation or in nature, whereas the discrete approach yields all possible histograms that can be observed or computed.
Download or read book Chaos Complexity and Transport written by Cristel Chandre and published by World Scientific. This book was released on 2008 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to provide the readers with a wide panorama of different aspects related to Chaos, Complexity and Transport. It consists of a collection of contributions ranging from applied mathematics to experiments, presented during the CCT'07 conference (Marseilles, June 4-8, 2007). The book encompasses different traditional fields of physics and mathematics while trying to keep a common language among the fields, and targets a nonspecialized audience.
Download or read book Chaos Resonance and Collective Dynamical Phenomena in the Solar System written by Sylvio Ferraz-Mello and published by Springer Science & Business Media. This book was released on 1992-05-31 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: This symposium was devoted to a new celestial mechanics whose aim has become the study of such `objects' as the planetary system, planetary rings, the asteroidal belt, meteor swarms, satellite systems, comet families, the zodiacal cloud, the preplanetary nebula, etc. When the three-body problem is considered instead of individual orbits we are, now, looking for the topology of extended regions of its phase space. This Symposium was one step in the effort to close the ties between two scientific families: the observationally-oriented scientists and the theoretically-oriented scientists.
Download or read book Perspectives and Problems in Nonlinear Science written by Ehud Kaplan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lawrence Sirovich will turn seventy on March 1, 2003. Larry's academic life of over 45 years at the Courant Institute, Brown University, Rockefeller University and the Mount Sinai School of Medicine has touched many peo ple and several disciplines, from fluid dynamics to brain theory. His con tributions to the kinetic theory of gases, methods of applied mathematics, theoretical fluid dynamics, hydrodynamic turbulence, the biophysics of vi sion and the dynamics of neuronal populations, represent the creative work of an outstanding scholar who was stimulated mostly by insatiable curios ity. As a scientist, Larry has consistently offered fresh outlooks on classical and difficult subjects, and moved into new fields effortlessly. He delights in what he knows and does, and sets no artificial boundaries to the range of his inquiry. Among the more than fifty or so Ph. D. students and post docs that he has mentored, many continue to make first-rate contributions themselves and hold academic positions in the US and elsewhere. Larry's scientific collaborators are numerous and distinguished. Those of us who have known him well will agree that Larry's charm, above all, is his taste, wit, and grace under fire. Larry has contributed immensely to mathematics publishing. He be gan his career with Springer by founding the Applied Mathematical Sci ences series together with Fritz John and Joe LaSalle some 30 years ago. Later he co-founded the Texts in Applied Mathematics series and more re cently the Interdisciplinary Applied Mathematics series.
Download or read book Transport Chaos And Plasma Physics 2 written by Benkadda Sadruddin and published by World Scientific. This book was released on 1996-08-22 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the early developments of 'nonlinear science', plasma physics played a major role in its evolution: solitons, hamiltonian chaos, distinction between absolute and convective instabilities, and dynamics of coherent structures in turbulence. Understanding transport in plasmas is important for fusion devices but also for fundamental astrophysics, for fluid mechanics, for theoretical chemistry and engineering, and plasma processing in engineering.This second workshop gathered experts in plasma physics, nonlinear phenomena and mathematics. It aimed at enabling theoreticians, numericians and experimentalists in plasma turbulence to relate electromagnetic fluctuations, modes of self-organisation and transport processes. It may lead to developing new diagnostics and new methods for signal processing.
Download or read book Quantum Chaos written by Katsuhiro Nakamura and published by CUP Archive. This book was released on 1994-06-02 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Past studies on chaos have been concerned with classical systems but this book is one of the first to deal with quantum chaos.
Download or read book Hamiltonian Chaos and Fractional Dynamics written by George M. Zaslavsky and published by Oxford University Press on Demand. This book was released on 2005 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: This books gives a realistic contemporary image of Hamiltonian dynamics, dealing with the basic principles of the Hamiltonian theory of chaos in addition to very recent and unusual applications of nonlinear dynamics and the fractality of dynamics.
Download or read book Nonlinear Dynamics and Statistical Theories for Basic Geophysical Flows written by Andrew Majda and published by Cambridge University Press. This book was released on 2006-05-11 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: The general area of geophysical fluid mechanics is truly interdisciplinary. Now ideas from statistical physics are being applied in novel ways to inhomogeneous complex systems such as atmospheres and oceans. In this book, the basic ideas of geophysics, probability theory, information theory, nonlinear dynamics and equilibrium statistical mechanics are introduced and applied to large time-selective decay, the effect of large scale forcing, nonlinear stability, fluid flow on a sphere and Jupiter's Great Red Spot. The book is the first to adopt this approach and it contains many recent ideas and results. Its audience ranges from graduate students and researchers in both applied mathematics and the geophysical sciences. It illustrates the richness of the interplay of mathematical analysis, qualitative models and numerical simulations which combine in the emerging area of computational science.
Download or read book Chaos and Nonlinear Dynamics written by Robert C. Hilborn and published by . This book was released on 2000 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces readers to the full range of current and background activity in the rapidly growing field of nonlinear dynamics. It uses a step-by-step introduction to dynamics and geometry in state space to help in understanding nonlinear dynamics and includes a thorough treatment of both differential equation models and iterated map models as well as a derivation of the famous Feigenbaum numbers. It is the only introductory book available that includes the important field of pattern formation and a survey of the controversial questions of quantum chaos. This second edition has been restructured for easier use and the extensive annotated references are updated through January 2000 and include many web sites for a number of the major nonlinear dynamics research centers. With over 200 figures and diagrams, analytic and computer exercises this book is a necessity for both the classroom and the lab.
Download or read book Deterministic Chaos in General Relativity written by David Hobill and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear dynamical systems play an important role in a number of disciplines. The physical, biological, economic and even sociological worlds are comprised of com plex nonlinear systems that cannot be broken down into the behavior of their con stituents and then reassembled to form the whole. The lack of a superposition principle in such systems has challenged researchers to use a variety of analytic and numerical methods in attempts to understand the interesting nonlinear interactions that occur in the World around us. General relativity is a nonlinear dynamical theory par excellence. Only recently has the nonlinear evolution of the gravitational field described by the theory been tackled through the use of methods used in other disciplines to study the importance of time dependent nonlinearities. The complexity of the equations of general relativity has been (and still remains) a major hurdle in the formulation of concrete mathematical concepts. In the past the imposition of a high degree of symmetry has allowed the construction of exact solutions to the Einstein equations. However, most of those solutions are nonphysical and of those that do have a physical significance, many are often highly idealized or time independent.
Download or read book Nonlinear Spatio Temporal Dynamics and Chaos in Semiconductors written by Eckehard Schöll and published by Cambridge University Press. This book was released on 2001-02-22 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together concepts from semiconductor physics, nonlinear-dynamics and chaos to examine semiconductor transport phenomena.
Download or read book Hamiltonian Chaos Beyond the KAM Theory written by Albert C. J. Luo and published by Springer Science & Business Media. This book was released on 2011-01-04 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Hamiltonian Chaos Beyond the KAM Theory: Dedicated to George M. Zaslavsky (1935—2008)” covers the recent developments and advances in the theory and application of Hamiltonian chaos in nonlinear Hamiltonian systems. The book is dedicated to Dr. George Zaslavsky, who was one of three founders of the theory of Hamiltonian chaos. Each chapter in this book was written by well-established scientists in the field of nonlinear Hamiltonian systems. The development presented in this book goes beyond the KAM theory, and the onset and disappearance of chaos in the stochastic and resonant layers of nonlinear Hamiltonian systems are predicted analytically, instead of qualitatively. The book is intended for researchers in the field of nonlinear dynamics in mathematics, physics and engineering. Dr. Albert C.J. Luo is a Professor at Southern Illinois University Edwardsville, USA. Dr. Valentin Afraimovich is a Professor at San Luis Potosi University, Mexico.
Download or read book Quantum Chaos and Quantum Dots written by Katsuhiro Nakamura and published by . This book was released on 2004 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamics of billiard balls and their role in physics have received wide attention since the monumental lecture by Lord Kelvin at the turn of the 19th century. Billiards can nowadays be created as quantum dots in the microscopic world enabling one to envisage the so-called quantum chaos, i.e.quantum manifestation of chaos of billiard balls. In fact, owing to recent progress in advanced technology, nanoscale quantum dots, such as chaotic stadium and antidot lattices analogous to the Sinai Billiard, can be fabricated at the interface of semiconductor heterojunctions. This book begins itsexploration of the effect of chaotic electron dynamics on ballistic quantum transport in quantum dots with a puzzling experiment on resistance fluctuations for stadium and circle dots. Throughout the text, major attention is paid to the semiclassical theory which makes it possible to interpretquantum phenomena in the language of the classical world. Chapters one to four are concerned with the elementary statistical methods (curvature, Lyapunov exponent, Kolmogorov-Sinai entropy and escape rate), which are needed for a semiclassical description of transport in quantum dots. Chapters fiveto ten discuss the topical subjects in the field, including the ballistic weak localization, Altshuler-Aronov-Spivak oscillation, partial time-reversal symmetry, persistent current, Arnold diffusion and Coulomb blockade.
