A Chaotic Hierarchy

Author: Gerold Baier,Michael Klein

Publisher: World Scientific

ISBN: 981461890X


Page: 412

View: 6483

This collection of articles introduces the idea of a hierarchical order in chaotic systems and natural phenomena. To understand nature, nonlinear sciences use a multidisciplinary perspective. Therefore the book integrates research work of different fields: experimental evidence for the theory drawn from physics, biology and chemistry; theoretical progress in mathematical treatment, numerical techniques and graphical methods of nonlinear sciences; and to not-yet-understood philosophical and fundamental problems related to chaos and cosmos, chaos and quantum mechanics or evolutionary dynamics. Featuring the most recent advances in nonlinear dynamics this collection should provide an indispensable reference source and starting point for further research concerning dynamical and hierarchical chaotic systems. Besides this book is in honor of Professor O E Rössler, one of the pioneers of Chaos Theory, who celebrated his 50th birthday in May 1990. Contents:Hierarchies of Dynamical Systems (M Klein & G Baier)The Chaotic Hierarchy (O E Rössler)Phase Regulation of Coupled Oscillators and Chaos (R H Abraham)Symbolic Dynamics in the Belousov-Zhabotinskii Reaction: From Rössler's Intuition to Experimental Evidence for Shil'nikov's Homoclinic Chaos (F Argoul et al.)Determinism in a World of Non-Invertible Transformations (H Degn)Structural, Functional and Dynamical Hierarchies in Neural Networks (A V Holden)Climbing Up Dynamical Hierarchy (K Kaneko)Chaotic Hierarchy from the One-Dimensional Box-Within-a-Box Bifurcations Structure Properties (Ch Mira)The Peroxidase-Oxidase Reaction: A Case for Chaos in the Biochemistry of the Cell (L F Olsen et al.)Experimental Progress on the Ladder Towards Higher Chaos (J Peinke et al.)Conjugate Pair of Representations in Chaos and Quantum Mechanics (K Tomita) Readership: Mathematicians, mathematical physicists and condensed matter physicists. Keywords:Nonlinear Dynamics;Chaos;Hyperchaos;Dynamic Hierarchies;Ordinary Differential Equations;Bifurcations

Chaotic Synchronization

Applications to Living Systems

Author: Erik Mosekilde,Yuri Maistrenko,Dmitry Postnov

Publisher: World Scientific

ISBN: 9814489751

Category: Science

Page: 440

View: 3185

Interacting chaotic oscillators are of interest in many areas of physics, biology, and engineering. In the biological sciences, for instance, one of the challenging problems is to understand how a group of cells or functional units, each displaying complicated nonlinear dynamic phenomena, can interact with one another to produce a coherent response on a higher organizational level. This book is a guide to the fascinating new concept of chaotic synchronization. The topics covered range from transverse stability and riddled basins of attraction in a system of two coupled logistic maps over partial synchronization and clustering in systems of many chaotic oscillators, to noise-induced synchronization of coherence resonance oscillators. Other topics treated in the book are on–off intermittency and the role of the absorbing and mixed absorbing areas, periodic orbit threshold theory, the influence of a small parameter mismatch, and different mechanisms for chaotic phase synchronization. The biological examples include synchronization of the bursting behavior of coupled insulin-producing beta cells, chaotic phase synchronization in the pressure and flow regulation of neighboring functional units of the kidney, and homoclinic transitions to phase synchronization in microbiological reactors. Contents: Coupled Nonlinear OscillatorsTransverse Stability of Coupled MapsUnfolding the Riddling BifurcationTime-Continuous SystemsCoupled Pancreatic CellsChaotic Phase SynchronizationPopulation Dynamic SystemsClustering of Globally MapsInteracting NephronsCoherence Resonance Oscillators Readership: Students and researchers interested in applying new concepts of chaotic synchronization and clustering to biological systems. Keywords:Reviews:“The book may be interesting for students and scientists who deal with coupled oscillatory systems and biological applications.”Mathematics Abstracts

Cooperation and Conflict in General Evolutionary Processes

Author: John Casti,Anders Karlqvist

Publisher: John Wiley & Sons

ISBN: 9780471594871

Category: Mathematics

Page: 435

View: 5252

In May 1992, within the Arctic Circle and under the midnight sun, a small group of researchers from diverse disciplines met to study one of the most fundamental questions of existence: What are the roles of conflict and cooperation in the evolution of life The answers that came—from such fields as physics, literature, biology, economics, linguistics, and computer science—shed new light on this very old question Sponsored by the Swedish Council for Planning and Coordination of Research, these internationally renowned scholars discussed and debated the complementary effects of individual self-interest and collective group interests. The twelve chapters in this volume, representing a wide range of perspectives, are the fruit of this meeting. They illustrate the dynamics of evolution and, contrary to many traditional ideas of nature, make a compelling case for the crucial role of cooperation in successful evolutionary adaptation The fascination of this volume lies in watching the push and pull of conflict and cooperation play out in such areas as economic organization, computer science, the development of urban structures, the evolution of languages, and molecular formation in the primeval environment Among the specific issues raised and illuminated: What are the roles of stability vs. instability in the evolution of primitive life? What does research into game theory and computer models tell us about the most successful survival strategies in conflict—cooperation dilemmas? What parts do randomness and uncertainty play in the evolution of biological as well as mathematical systems? What is the relationship between our stories of evolution and the process of evolution itself? Is there a link between the evolution of our bodies and our ability to make choices about conflict or cooperation? How is it possible for a cooperative entity to arise and prosper in a situation presumably driven by competition? What were the mechanisms of genetic formation in the primordial world? How does meaning evolve in the development of natural language? p>Theoretical and evolutionary biologists, system theorists, economists, computer scientists, and mathematical modelers will find Cooperation and Conflict in General Evolutionary Processes a provocative and stimulating book that may open new perspectives on their own work Is Nature "red in tooth and claw'' The twelve chapters in this volume offer an overview of the dynamics of evolutionary phenomena across a stimulating array of fields, including biology, economics, literature, physics, philosophy, linguistics, and computer science. Written by internationally recognized experts, they trace the issue of conflict vs. cooperation through such topics as molecular formation, city planning, and the building of intellectual structures Urban Systems and Evolution —W. Brian Arthu Modeling Errors and Parasites in the Evolution of Primitive Life: Possibilities of Spatial Self-Structuring —Clas Blomberg and Mikael Cronhjor Cooperation: The Ghost in the Machinery of Evolution —John L. Cast Randomness in Arithmetic and the Decline and Fall of Reductionism in Pure Mathematics —Gregory J. Chaiti Narratives of Evolution and the Evolution of Narratives —N. Katherine Hayle Biologically Bound Behavior, Free Will, and the Evolution of Humans —Philip Lieberma A Hierarchy of Complex Behaviors in Microbiological Systems —Erik Mosekilde, Heidi Stranddorf, Jesper Skovhus Thomsen and Gerold Baie Chaotic Dynamics of Linguistic-like Processes at the Syntactic and Semantic Levels: In Pursuit of a Multifractal Attractor —John S. Nicolis and Anastassis A. Katsika Cooperation and Chimera —Robert Rose Minimal Properties for Evolutionary Optimization —Peter Schuste A Perception Machine Built of Many Cooperating Agents —Erik Skarma Language, Evolution, and the Theory of Games —Karl Wärnery Theoretical and evolutionary biologists, system theorists, economists, computer scientists, and mathematical modelers will find Cooperation and Conflict in General Evolutionary Processes a strong stimulus to the evolution of their own ideas

Predictability of Chaotic Dynamics

A Finite-time Lyapunov Exponents Approach

Author: Juan C. Vallejo,Miguel A. F. Sanjuan

Publisher: Springer

ISBN: 3319518933

Category: Science

Page: 136

View: 1385

This book is primarily concerned with the computational aspects of predictability of dynamical systems – in particular those where observation, modeling and computation are strongly interdependent. Unlike with physical systems under control in laboratories, for instance in celestial mechanics, one is confronted with the observation and modeling of systems without the possibility of altering the key parameters of the objects studied. Therefore, the numerical simulations offer an essential tool for analyzing these systems. With the widespread use of computer simulations to solve complex dynamical systems, the reliability of the numerical calculations is of ever-increasing interest and importance. This reliability is directly related to the regularity and instability properties of the modeled flow. In this interdisciplinary scenario, the underlying physics provide the simulated models, nonlinear dynamics provides their chaoticity and instability properties, and the computer sciences provide the actual numerical implementation. This book introduces and explores precisely this link between the models and their predictability characterization based on concepts derived from the field of nonlinear dynamics, with a focus on the finite-time Lyapunov exponents approach. The method is illustrated using a number of well-known continuous dynamical systems, including the Contopoulos, Hénon-Heiles and Rössler systems. To help students and newcomers quickly learn to apply these techniques, the appendix provides descriptions of the algorithms used throughout the text and details how to implement them in order to solve a given continuous dynamical system.

Mastering Chaos

The Entrepreneurial Secret to Stop Sabotaging Your Hierarchy of Happiness

Author: Robin Nickerson

Publisher: N.A

ISBN: 9781943526321


Page: N.A

View: 1606

ARE YOU CAUGHT UP IN CHAOS? Isn't it time you created a life full of meaning? Imagine a place where fear, frustration, and confusion no longer sabotage you or your destiny. If you hear a nagging voice telling you you're not doing your highest work ... If you sense you're not fully utilizing your talents and abilities... If you're not creating the most meaningful difference you can... Then Mastering Chaos is for you Author, Entrepreneur, and Life Coach Robin Nickerson shows you how to: - Eliminate Procrastination. - Increase your ability to successfully reach your goals. - Spike your creativity, intelligence, and resourcefulness. - Overcome destructive emotions and habits. - Create more meaning and purpose in your life. - And much more... In, Mastering Chaos, Robin takes you from frustration to freedom. Because he's lived through some of the most frustrating times and trials of his life and thrived to tell the tale, Robin is uniquely equipped to guide you through and beyond your limited ways of thinking, believing, and living. He shows you how to create: A Purpose, A Plan, and A Path to Pursue that will bring you more passion and connect you to your purpose. If you are ready to accelerate your path to excellence and live the life of significance that you were created for, Mastering Chase is a must read! -Eric J.Watts- President of WordTalk Productions, LLC Take a journey with Robin, in Mastering Chaos, and learn to see chaos as a gift in the pursuit of personal and professional growth. -Robyne Roveccio-President of Arizona Realty One Group -IFFB Figure Pro Athlete, Experience is inevitable, but learning is optional. Too often we allow our experiences to become our story. Then someone comes along and gives us new perspective and challenges us to see our world with fresh eyes. Robin Nickerson does just that in Mastering Chaos. Drawing from heartbreaking personal experience, Robin lays out a plan that sets you the path to recovery and ultimately victory. -Jim Akers -Author of Tape Breakers -Founder, ImpACTful Notes

Leadership and the New Science

Discovering Order in a Chaotic World

Author: Margaret J. Wheatley

Publisher: ReadHowYouWant.com

ISBN: 145877760X

Category: Business & Economics

Page: 386

View: 4961

A bestseller--more than 300,000 copies sold, translated into seventeen languages, and featured in the Los Angeles Times, Washington Post, Miami Herald, Harvard Business Review, Fast Company, and Fortune; Shows how discoveries in quantum physics, biology, and chaos theory enable us to deal successfully with change and uncertainty in our organizations and our lives; Includes a new chapter on how the new sciences can help us understand and cope with some of the major social challenges of our times We live in a time of chaos, rich in potential for new possibilities. A new world is being born. We need new ideas, new ways of seeing, and new relationships to help us now. New science--the new discoveries in biology, chaos theory, and quantum physics that are changing our understanding of how the world works--offers this guidance. It describes a world where chaos is natural, where order exists ''for free.'' It displays the intricate webs of cooperation that connect us. It assures us that life seeks order, but uses messes to get there. Leadership and the New Science is the bestselling, most acclaimed, and most influential guide to applying the new science to organizations and management. In it, Wheatley describes how the new science radically alters our understanding of the world, and how it can teach us to live and work well together in these chaotic times. It will teach you how to move with greater certainty and easier grace into the new forms of organizations and communities that are taking shape.

Topology and Dynamics of Chaos

In Celebration of Robert Gilmore's 70th Birthday

Author: Christophe Letellier

Publisher: World Scientific

ISBN: 9814434868

Category: Science

Page: 351

View: 6162

The book surveys how chaotic behaviors can be described with topological tools and how this approach occurred in chaos theory. Some modern applications are included. The contents are mainly devoted to topology, the main field of Robert Gilmore's works in dynamical systems. They include a review on the topological analysis of chaotic dynamics, works done in the past as well as the very latest issues. Most of the contributors who published during the 90's, including the very well-known scientists Otto RAssler, Ren(r) Lozi and Joan Birman, have made a significant impact on chaos theory, discrete chaos, and knot theory, respectively. Very few books cover the topological approach for investigating nonlinear dynamical systems. The present book will provide not only some historical OCo not necessarily widely known OCo contributions (about the different types of chaos introduced by RAssler and not just the RAssler attractor; Gumowski and Mira's contributions in electronics; Poincar(r)'s heritage in nonlinear dynamics) but also some recent applications in laser dynamics, biology,

Chaos and Nonlinear Dynamics

An Introduction for Scientists and Engineers

Author: Robert C. Hilborn

Publisher: Oxford University Press on Demand

ISBN: 9780198507239

Category: Mathematics

Page: 650

View: 2714

This is a comprehensive introduction to the exciting scientific field of nonlinear dynamics for students, scientists, and engineers, and requires only minimal prerequisites in physics and mathematics. The book treats all the important areas in the field and provides an extensive and up-to-date bibliography of applications in all fields of science, social science, economics, and even the arts.


The Emerging Science at the Edge of Order and Chaos

Author: Mitchell M. Waldrop

Publisher: Simon and Schuster

ISBN: 0671872346

Category: Mathematics

Page: 380

View: 2569

A look at the rebellious thinkers who are challenging old ideas with their insights into the ways countless elements of complex systems interact to produce spontaneous order out of confusion

The Poverty of the Linnaean Hierarchy

A Philosophical Study of Biological Taxonomy

Author: Marc Ereshefsky

Publisher: Cambridge University Press

ISBN: 9781139430012

Category: Science

Page: N.A

View: 8066

The question of whether biologists should continue to use the Linnaean hierarchy has been a hotly debated issue. Invented before the introduction of evolutionary theory, Linnaeus's system of classifying organisms is based on outdated theoretical assumptions, and is thought to be unable to provide accurate biological classifications. Marc Ereshefsky argues that biologists should abandon the Linnaean system and adopt an alternative that is more in line with evolutionary theory. He traces the evolution of the Linnaean hierarchy from its introduction to the present. He illustrates how the continued use of this system hampers our ability to classify the organic world, and then goes on to make specific recommendations for a post-Linnaean method of classification. Accessible to a wide range of readers by providing introductory chapters to the philosophy of classification and the taxonomy of biology, the book will interest both scholars and students of biology and the philosophy of science.

Physical Review

Statistical physics, plasmas, fluids, and related interdisciplinary topics. E

Author: N.A

Publisher: N.A


Category: Fluids

Page: N.A

View: 3739


Advanced Data Mining and Applications

First International Conference, ADMA 2005, Wuhan, China, July 22-24, 2005, Proceedings

Author: Xue Li,Shuliang Wang,Zhao Yang Dong

Publisher: Springer Science & Business Media

ISBN: 354027894X

Category: Computers

Page: 835

View: 8904

With the ever-growing power to generate, transmit and collect huge amounts of data, information overload is now an imminent problem to mankind. The overwhelming demand for information processing is not just about a better - derstanding of data, but also a better usage of data in a timely fashion. Data mining, or knowledge discovery from databases, is proposed to gain insight into aspects of dataand to help peoplemakeinformed, sensible, andbetter decisions. At present, growing attention has been paid to the study, development and - plication of data mining. As a result there is an urgent need for sophisticated techniques and tools that can handle new ?elds of data mining, e.g., spatialdata mining, biomedical data mining, and mining on high-speed and time-variant data streams. The knowledge of data mining should also be expanded to new applications. The1stInternationalConferenceonAdvancedDataMiningandApplications (ADMA 2005) aimed to bring together the experts on data mining throughout the world. It provided a leading international forum for the dissemination of original research results in advanced data mining techniques, applications, al- rithms, software and systems, and di?erent applied disciplines. The conference attracted 539 online submissions and 63 mailing submissions from 25 di?erent countriesandareas.Allfullpaperswerepeer reviewedbyatleastthreemembers of the Program Committee composed of international experts in data mining ?elds. A total number of 100 papers were accepted for the conference. Amongst them 25 papers were selected as regular papers and 75 papers were selected as short papers, yielding a combined acceptance rate of 17%.

Towards the harnessing of chaos

a collection of contributions based on lectures presented at the seventh Toyota Conference, Mikkabi, Shizuoka, Japan, October 31 to November 3, 1993

Author: Masaya Yamaguchi

Publisher: Elsevier Science Ltd

ISBN: 9780444819345

Category: Computers

Page: 435

View: 4200


Fully Chaotic Maps and Broken Time Symmetry

Author: Dean J. Driebe

Publisher: Springer Science & Business Media

ISBN: 9780792355649

Category: Mathematics

Page: 164

View: 2873

This is the first book providing an introduction to a new approach to the nonequilibrium statistical mechanics of chaotic systems. It shows how the dynamical problem in fully chaotic maps may be solved on the level of evolving probability densities. On this level, time evolution is governed by the Frobenius-Perron operator. Spectral decompositions of this operator for a variety of systems are constructed in generalized function spaces. These generalized spectral decompositions are of special interest for systems with invertible trajectory dynamics, as on the statistical level the new solutions break time symmetry and allow for a rigorous understanding of irreversibility. Several techniques for the construction of explicit spectral decompositions are given. Systems ranging from the simple one-dimensional Bernoulli map to an invertible model of deterministic diffusion are treated in detail. Audience: Postgraduate students and researchers in chaos, dynamical systems and statistical mechanics.


Perspectives for Ecological Complexity

Author: T. F. H. Allen,Thomas B. Starr

Publisher: University of Chicago Press

ISBN: 022648971X

Category: Science

Page: 352

View: 9176

Although complexity surrounds us, its inherent uncertainty, ambiguity, and contradiction can at first make complex systems appear inscrutable. Ecosystems, for instance, are nonlinear, self-organizing, seemingly chaotic structures in which individuals interact both with each other and with the myriad biotic and abiotic components of their surroundings across geographies as well as spatial and temporal scales. In the face of such complexity, ecologists have long sought tools to streamline and aggregate information. Among them, in the 1980s, T. F. H. Allen and Thomas B. Starr implemented a burgeoning concept from business administration: hierarchy theory. Cutting-edge when Hierarchy was first published, their approach to unraveling complexity is now integrated into mainstream ecological thought. This thoroughly revised and expanded second edition of Hierarchy reflects the assimilation of hierarchy theory into ecological research, its successful application to the understanding of complex systems, and the many developments in thought since. Because hierarchies and levels are habitual parts of human thinking, hierarchy theory has proven to be the most intuitive and tractable vehicle for addressing complexity. By allowing researchers to look explicitly at only the entities and interconnections that are relevant to a specific research question, hierarchically informed data analysis has enabled a revolution in ecological understanding. With this new edition of Hierarchy, that revolution continues.

The Creation of Chaos

William James and the Stylistic Making of a Disorderly World

Author: Frederick J. Ruf

Publisher: SUNY Press

ISBN: 9780791407028

Category: Philosophy

Page: 185

View: 6287

This is the first book-length study of William James’ style, arguing that the manner in which James writes The Principles of Psychology and The Varieties of Religious Experience serves to construct a chaotic world for his readers. The book examines the uses of chaos in western literature and philosophy and reaches two conclusions: that chaos may be “utter confusion and disorder,” but, paradoxically, that disorder is communicated through some particular order — in Joyce’s term, all chaos is “chaosmos.” Secondly, what is essential about chaos is what it does: nothing is inherently chaotic, rather chaos is used to contrast with or challenge something that is more structured or formed. Finally, the author presents an examination of the religious function of James’ chaotic worldview as a disorientation which orients.

Chaos, Gaia, Eros

A Chaos Pioneer Uncovers the Three Great Streams of History

Author: Ralph Abraham

Publisher: Harper San Francisco


Category: Philosophy

Page: 263

View: 7966

A modern philosophy suggests that there are three main forces working to shape our lives