Weak Chaos and Quasi-Regular Patterns PDF Download

Author: George M. Zaslavsky
Publisher: Cambridge University Press
ISBN: 9780521438285
Category : Science
Languages : en
Pages : 272

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Book Description
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.

Author: K. N. Bhat
Publisher: Alpha Science Int'l Ltd.
ISBN: 9788173195679
Category : Science
Languages : en
Pages : 1310

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Book Description
Contributed papers of the workshop held at IIT, Madras, in 2003.

Author: Ivan I. Shevchenko
Publisher: Springer Nature
ISBN: 3030521443
Category : Science
Languages : en
Pages : 376

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Book Description
This is the first monograph dedicated entirely to problems of stability and chaotic behaviour in planetary systems and its subsystems. The author explores the three rapidly developing interplaying fields of resonant and chaotic dynamics of Hamiltonian systems, the dynamics of Solar system bodies, and the dynamics of exoplanetary systems. The necessary concepts, methods and tools used to study dynamical chaos (such as symplectic maps, Lyapunov exponents and timescales, chaotic diffusion rates, stability diagrams and charts) are described and then used to show in detail how the observed dynamical architectures arise in the Solar system (and its subsystems) and in exoplanetary systems. The book concentrates, in particular, on chaotic diffusion and clearing effects. The potential readership of this book includes scientists and students working in astrophysics, planetary science, celestial mechanics, and nonlinear dynamics.

Author: Russ Marion
Publisher: SAGE Publications
ISBN: 1452263760
Category : Social Science
Languages : en
Pages : 375

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Book Description
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.

Author: Vladimir M. Akulin
Publisher: Springer Science & Business Media
ISBN: 3540292713
Category : Science
Languages : en
Pages : 477

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Book Description
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.

Author: Cristel Chandre
Publisher: World Scientific
ISBN: 9812818790
Category : Science
Languages : en
Pages : 378

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Book Description
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.

Author: Jaun-Manuel Garcia-Ruiz
Publisher: Springer Science & Business Media
ISBN: 1461528526
Category : Science
Languages : en
Pages : 417

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Book Description
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.

Author: Joseph L. McCauley
Publisher: Cambridge University Press
ISBN: 1107393272
Category : Science
Languages : en
Pages : 352

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Book Description
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.

Author: Sylvio Ferraz-Mello
Publisher: Springer Science & Business Media
ISBN: 9780792317821
Category : Science
Languages : en
Pages : 432

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Book Description
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.

Author: Ehud Kaplan
Publisher: Springer Science & Business Media
ISBN: 0387217894
Category : Mathematics
Languages : en
Pages : 445

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Book Description
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.