Determining Thresholds of Complete Synchronization and Application

Author: Andrzej Stefa?ski
Publisher: World Scientific
ISBN: 9789812837660
Release Date: 2009
Genre: Mathematics

This book is devoted to the phenomenon of synchronization and its application for determining the values of Lyapunov exponents. In recent years, the idea of synchronization has become an object of great interest in many areas of science, e.g., biology and communication or laser physics. Over the last decade, a number of new types of synchronization have been identified and some interesting new ideas concerning the synchronization have also appeared.This book presents the complete synchronization problem rather than just results from the research. The problem is demonstrated in relation to a kind of coupling applied between dynamical systems, whereby a unique classification of possible couplings is introduced. Another novel feature is the connection presented between synchronization and the problem of determining the Lyapunov exponents, especially for non-differentiable systems. A detailed proposal of such an estimation method and examples of its application are included.

Bifurcations in Piecewise smooth Continuous Systems

Author: David John Warwick Simpson
Publisher: World Scientific
ISBN: 9789814293846
Release Date: 2010
Genre: Science

Real-world systems that involve some non-smooth change are often well-modeled by piecewise-smooth systems. However there still remain many gaps in the mathematical theory of such systems. This doctoral thesis presents new results regarding bifurcations of piecewise-smooth, continuous, autonomous systems of ordinary differential equations and maps. Various codimension-two, discontinuity induced bifurcations are unfolded in a rigorous manner. Several of these unfoldings are applied to a mathematical model of the growth of Saccharomyces cerevisiae (a common yeast). The nature of resonance near border-collision bifurcations is described; in particular, the curious geometry of resonance tongues in piecewise-smooth continuous maps is explained in detail. NeimarkSacker-like border-collision bifurcations are both numerically and theoretically investigated. A comprehensive background section is conveniently provided for those with little or no experience in piecewise-smooth systems.

Modeling Love Dynamics

Author: Sergio E. T. Al RINALDI
Publisher: World Scientific
ISBN: 9789814696326
Release Date: 2015-10-22
Genre: Family & Relationships


A Nonlinear Dynamics Perspective of Wolfram s New Kind of Science

Author: Leon O. Chua
Publisher: World Scientific Publishing Company Incorporated
ISBN: UCSD:31822037159183
Release Date: 2009
Genre: Computers

Volume III continues the author's quest for developing a pedagogical, self-contained, yet rigorous analytical theory of 1-D cellular automata via a nonlinear dynamics perspective. Using carefully conceived and illuminating color graphics, the global dynamical behaviors of the 50 (out of 256) local rules that have not yet been covered in Volumes I and II are exposed via their stunningly revealing basin tree diagrams. The Bernoulli ??-shift dynamics discovered in Volume II is generalized to hold for all 50 (or 18 globally equivalent) local rules via complex and hyper Bernoulli wave dynamics. Explicit global state transition formulas derived for rules 60, 90, 105, and 150 reveal a new scale-free phenomenon. The most surprising new result unveiled in this volume is the “Isle of Eden” found hidden in most (almost 90%) of the 256 local rules. Readers are challenged to hunt for long-period, isolated Isles of Eden. These are rare gems waiting to be discovered.

Fractal Physiology and Chaos in Medicine

Author: Bruce J West
Publisher: World Scientific
ISBN: 9789814417815
Release Date: 2012-11-09
Genre: Mathematics

This exceptional book is concerned with the application of fractals and chaos, as well as other concepts from nonlinear dynamics to biomedical phenomena. Herein we seek to communicate the excitement being experienced by scientists upon making application of these concepts within the life sciences. Mathematical concepts are introduced using biomedical data sets and the phenomena being explained take precedence over the mathematics. In this new edition what has withstood the test of time has been updated and modernized; speculations that were not borne out have been expunged and the breakthroughs that have occurred in the intervening years are emphasized. The book provides a comprehensive overview of a nascent theory of medicine, including a new chapter on the theory of complex networks as they pertain to medicine. Contents:IntroductionPhysiology in Fractal DimensionsDynamics in Fractal DimensionsStatistics in Fractal DimensionsApplications of Chaotic AttractorsPhysiologic Networks: The Final Chapter? Readership: Biomedical and physical scientists and students. Keywords:Fractals;Chaos;Physiology;Medicine;Nonlinear Dynamics;Networks;ComplexityReviews: “This book is an excellent introduction to nonlinear dynamics and fractals in medicine.” Zentralbatt MATH

Engineering of Chemical Complexity

Author: Alexander S. Mikhailov
Publisher: World Scientific
ISBN: 9789814390453
Release Date: 2013
Genre: Mathematics

This review volume, co-edited by Nobel laureate G Ertl, provides a broad overview on current studies in the understanding of design and control of complex chemical systems of various origins, on scales ranging from single molecules and nano-phenomena to macroscopic chemical reactors. Self-organizational behavior and the emergence of coherent collective dynamics in reaction diffusion systems, reactive soft matter and chemical networks are covered. Special attention is paid to the applications in molecular cell biology and to the problems of biological evolution, synthetic biology and design of artificial living cells. Starting with a detailed introduction on the history of research on complex chemical systems, its current state of the art and perspectives, the book comprises 19 chapters that survey the current progress in particular research fields. The reviews, prepared by leading international experts, yield together a fascinating picture of a rapidly developing research discipline that brings chemical engineering to new frontiers.

Aha That Is Interesting John Holland 85 Years Young

Author: Vasbinder Jan Wouter
Publisher: World Scientific
ISBN: 9789814619882
Release Date: 2014-09-12
Genre: Science

John Holland is one of the few scientists, who all by themselves and by their pursuits, helped change the course of science and the wealth of human knowledge. There is hardly a field of science or problems, that is not affected by John's work on complexity and in particular, complex adaptive systems. On the occasion of his 85th birthday, many of his friends wrote about John, about facets of this remarkable man that only people close to him can know and tell.This book collects those stories highlighting aspects of the creation of complexity science that will most likely not be found in the books on John's works.The stories and anecdotes about his quests, his collaborators, and his friends, show his incredible mind, his boyish curiosity and explorative energy, his philosophy of life, his enormous hospitality and natural inclination to make friends.

Chaos Information Processing and Paradoxical Games

Author: Gregoire Nicolis
Publisher: World Scientific
ISBN: 9789814602143
Release Date: 2014-12-30
Genre: Mathematics

This volume provides a self-contained survey of the mechanisms presiding information processing and communication. The main thesis is that chaos and complexity are the basic ingredients allowing systems composed of interesting subunits to generate and process information and communicate in a meaningful way. Emphasis is placed on communication in the form of games and on the related issue of decision making under conditions of uncertainty. Biological, cognitive, physical, engineering and societal systems are approached from a unifying point of view, both analytically and by numerical simulation, using the methods of nonlinear dynamics and probability theory. Epistemological issues in connection with incompleteness and self-reference are also addressed. Contents:Glimpses at Nonlinear Dynamics & Chaos:Bohmian Trajectories in the Scattering Problem (G Contopoulos, N Delis and C Efthymiopoulos)Scaling Properties of the Lorenz System and Dissipative Nambu Mechanics (Minos Axenides and Emmanuel Floratos)Extreme Events in Nonlinear Lattices (G P Tsironis, N Lazarides, A Maluckov and Lj Hadžievski)Coarse Graining Approach to Chaos (Donal MacKernan)Fractal Parameter Space of Lorenz-like Attractors: A Hierarchical Approach (Tingli Xing, Jeremy Wojcik, Michael A Zaks and Andrey Shilnikov)Chaos and Information:Quantum Theory of Jaynes' Principle, Bayes' Theorem, and Information (Hermann Haken)Information Processing with Page–Wootters States (Stam Nicolis)Stochastic Resonance and Information Processing (C Nicolis)Selforganization of Symbols and Information (Werner Ebeling and Rainer Feistel)Biological Information Processing:Historical Contingency in Controlled Evolution (Peter Schuster)Long-Range Order and Fractality in the Structure and Organization of Eukaryotic Genomes (Dimitris Polychronopoulos, Giannis Tsiagkas, Labrini Athanasopoulou, Diamantis Sellis and Yannis Almirantis)Towards Resolving the Enigma of HOX Gene Collinearity (Spyros Papageorgiou)Complexity, Chaos & Cognition:Thermodynamics of Cerebral Cortex Assayed by Measures of Mass Action (Walter J Freeman)Describing the Neuron Axons Network of the Human Brain by Continuous Flow Models (J Hizanidis, P Katsaloulis, D A Verganelakis and A Provata)Cognition and Language: From Apprehension to Judgment — Quantum Conjectures (F T Arecchi)Dynamical Systems++ for a Theory of Biological System (Kunihiko Kaneko)Logic Dynamics for Deductive Inference — Its Stability and Neural Basis (Ichiro Tsuda)Dynamical Games and Collective Behaviours:Microscopic Approach to Species Coexistence Based on Evolutionary Game Dynamics (Celso Grebogi, Ying-Cheng Lai and Wen-Xu Wang)Phase Transitions in Models of Bird Flocking (H Christodoulidi, K van der Weele, Ch G Antonopoulos and T Bountis)Animal Construction as a Free Boundary Problem: Evidence of Fractal Scaling Laws (S C Nicolis)Extended Self Organised Criticality in Asynchronously Tuned Cellular Automata (Yukio-Pegio Gunji)Epilogue:A Posthumous Dialogue with John Nicolis: IERU (Otto E Rössler)Appendix:Selected References from John Nicolis' Bibliography Readership: Graduate students, researchers, and academics from various fields interested in chaos, information processing and complexity science. Key Features:Highlights the universality, relevance and interdisciplinary dimension of chaos and complexityBrings together topics and issues that have so far been addressed independently of each other and establishes unexpected connectionsProvides complementary coverage of problems of concern as viewed by different well-established expertsKeywords:Nonlinear Dynamics;Chaos;Self-Organization;Emergence;Probability and Information;Predictability;Non-Equilibrium Systems;Irreversibility;Systems Biology

Instabilities Chaos and Turbulence

Author: Paul Manneville
Publisher: World Scientific
ISBN: 9781848163928
Release Date: 2010
Genre: Science

This book (2nd edition) is a self-contained introduction to a wide body of knowledge on nonlinear dynamics and chaos. Manneville emphasises the understanding of basic concepts and the nontrivial character of nonlinear response, contrasting it with the intuitively simple linear response. He explains the theoretical framework using pedagogical examples from fluid dynamics, though prior knowledge of this field is not required. Heuristic arguments and worked examples replace most esoteric technicalities. Only basic understanding of mathematics and physics is required, at the level of what is currently known after one or two years of undergraduate training: elementary calculus, basic notions of linear algebra and ordinary differential calculus, and a few fundamental physical equations (specific complements are provided when necessary). Methods presented are of fully general use, which opens up ample windows on topics of contemporary interest. These include complex dynamical processes such as patterning, chaos control, mixing, and even the Earth's climate. Numerical simulations are proposed as a means to obtain deeper understanding of the intricacies induced by nonlinearities in our everyday environment, with hints on adapted modelling strategies and their implementation.

Foundations of Complex Systems

Author: G. Nicolis
Publisher: World Scientific
ISBN: 9789814366618
Release Date: 2012
Genre: Mathematics

This book provides a self-contained presentation of the physical and mathematical laws governing complex systems. Complex systems arising in natural, engineering, environmental, life and social sciences are approached from a unifying point of view using an array of methodologies such as microscopic and macroscopic level formulations, deterministic and probabilistic tools, modeling and simulation. The book can be used as a textbook by graduate students, researchers and teachers in science, as well as non-experts who wish to have an overview of one of the most open, markedly interdisciplinary and fast-growing branches of present-day science.

Synchronization in Complex Networks of Nonlinear Dynamical Systems

Author: Chai Wah Wu
Publisher: World Scientific
ISBN: 9789812709745
Release Date: 2007
Genre: Mathematics

This book brings together two emerging research areas: synchronization in coupled nonlinear systems and complex networks, and study conditions under which a complex network of dynamical systems synchronizes. While there are many texts that study synchronization in chaotic systems or properties of complex networks, there are few texts that consider the intersection of these two very active and interdisciplinary research areas. The main theme of this book is that synchronization conditions can be related to graph theoretical properties of the underlying coupling topology. The book introduces ideas from systems theory, linear algebra and graph theory and the synergy between them that are necessary to derive synchronization conditions. Many of the results, which have been obtained fairly recently and have until now not appeared in textbook form, are presented with complete proofs. This text is suitable for graduate-level study or for researchers who would like to be better acquainted with the latest research in this area. Sample Chapter(s). Chapter 1: Introduction (76 KB). Contents: Graphs, Networks, Laplacian Matrices and Algebraic Connectivity; Graph Models; Synchronization in Networks of Nonlinear Continuous-Time Dynamical Systems; Synchronization in Networks of Coupled Discrete-Time Systems; Synchronization in Network of Systems with Linear Dynamics; Agreement and Consensus Problems in Groups of Interacting Agents. Readership: Graduate students and researchers in physics, applied mathematics and engineering.

Decision Making

Author: Paolo Grigolini
Publisher: World Scientific
ISBN: 9789814365826
Release Date: 2011
Genre: Chaotic behavior in systems

This invaluable book captures the proceedings of a workshop that brought together a group of distinguished scientists from a variety of disciplines to discuss how networking influences decision making. The individual lectures interconnect psychological testing, the modeling of neuron networks and brain dynamics to the transport of information within and between complex networks. Of particular importance was the introduction of a new principle that governs how complex networks talk to one another OCo the Principle of Complexity Management (PCM). PCM establishes that the transfer of information from a stimulating complex network to a responding complex network is determined by how the complexity indices of the two networks are related. The response runs the gamut from being independent of the perturbation to being completely dominated by it, depending on the complexity mismatch.

Artificial Intelligence Science And Technology Proceedings Of The 2016 International Conference Aist2016

Author: Yang Hui
Publisher: #N/A
ISBN: 9789813206830
Release Date: 2017-06-28
Genre: Computers

The 2016 International Conference on Artificial Intelligence Science and Technology (AIST2016) was held in Shanghai, China, from 15th to 17th July, 2016. AIST2016 aims to bring together researchers, engineers, and students to the areas of Artificial Intelligence Science and Technology. AIST2016 features unique mixed topics of artificial intelligence and application, computer and software, communication and network, information and security, data mining, and optimization. This volume consists of 101 peer-reviewed articles by local and foreign eminent scholars which cover the frontiers and state-of-art development in AI Technology.

Complexity and Control

Author: Vladimir G Ivancevic
Publisher: World Scientific
ISBN: 9789814635882
Release Date: 2014-11-07
Genre: Science

The book Complexity and Control: Towards a Rigorous Behavioral Theory of Complex Dynamical Systems is a graduate-level monographic textbook, intended to be a novel and rigorous contribution to modern Complexity Theory. This book contains 11 chapters and is designed as a one-semester course for engineers, applied and pure mathematicians, theoretical and experimental physicists, computer and economic scientists, theoretical chemists and biologists, as well as all mathematically educated scientists and students, both in industry and academia, interested in predicting and controlling complex dynamical systems of arbitrary nature. Contents:IntroductionLocal Geometrical Machinery for Complexity and ControlGlobal Categorical Framework for Complexity and ControlDynamics of Crowd Behaviors: From Complex Plane to Quantum Random FieldsHierarchical Self-Similarity in Group and Crowd BehaviorsHybrid Topological Lie-Hamiltonian Learning in Evolving Energy LandscapesComplexity and Control in Solitary Conductive PDEsQuantum-Computation for Perceptual Control ArchitectureComplexity and Control in Entropic and Stochastic Self-OrganizationCrash Simulator: Brain-and-Spine Injury MechanicsConclusionCode Samples Used for Complexity and Control Readership: Professional and researchers in the field of nonlinear science, chaos and dynamical and complex systems. Key Features:Unique approach of generalized dynamics, rooted in the most powerful Kähler geometry, combining Lagrangian, Hamiltonian and quantum systemsUnique visual framework of commutative diagrams and n-categoriesPlenty of computational algorithms in Mathematica, Matlab, C#, C/C++ and Fortran 90Keywords:Generalized Dynamics;Kähler Geometry;Lagrangian;Hamiltonian and Quantum Systems

Foundations of Complex Systems

Author: Gregoire Nicolis
Publisher: World Scientific
ISBN: 9789814458160
Release Date: 2012-03-08
Genre: Science

This book provides a self-contained presentation of the physical and mathematical laws governing complex systems. Complex systems arising in natural, engineering, environmental, life and social sciences are approached from a unifying point of view using an array of methodologies such as microscopic and macroscopic level formulations, deterministic and probabilistic tools, modeling and simulation. The book can be used as a textbook by graduate students, researchers and teachers in science, as well as non-experts who wish to have an overview of one of the most open, markedly interdisciplinary and fast-growing branches of present-day science. Contents:The Phenomenology of Complex Systems:Complexity, a New ParadigmSignatures of ComplexityOnset of ComplexityFour Case StudiesSumming UpDeterministic View:Dynamical Systems, Phase Space, StabilityLevels of DescriptionNormal FormsThe Limit of UniversalityDeterministic ChaosEmergenceCoupling-Induced ComplexityModeling Complexity Beyond Physical ScienceProbabilistic Description:Need for a Probabilistic ApproachProbability Distributions and Their Evolution LawsThe Retrieval of UniversalityComplexity in the Probabilistic DescriptionEmergence RevisitedTransitions Between StatesSimulating Complex SystemsDisorder-Generated ComplexityComplexity, Entropy and Information:Information EntropyDynamical EntropiesInformation Entropy ProductionLarge Deviations, Fluctuation Theorems and the Probabilistic Properties of Time SequencesAlgorithmic Complexity and ComputationDynamical Systems as Information Sources: Scaling Rules and SelectionFurther Information MeasuresSumming UpPrediction:Communicating with a Complex SystemClassical Approaches and Their LimitationsNonlinear Data AnalysisThe Monitoring of Complex FieldsThe Predictability HorizonRecurrenceExtreme EventsSelected Topics:The Arrow of TimeNanosystemsAtmospheric DynamicsClimate DynamicsNetworksPerspectives on Biological ComplexityEquilibrium Versus Nonequilibrium in Complexity and Self-OrganizationEpistemological Insights from Complex SystemsOutlook. The Future of Complexity Readership: Graduate students, researchers, academics and professionals interested in nonlinear science. Keywords:Nonlinear Dynamics;Chaos;Self-Organization;Emergence;Probability and Information;Predictability;Non-Equilibrium Systems;Irreversibility;Systems BiologyKey Features:A unique vision highlighting complexity as part of fundamental science and a clear, unifying presentation of the concepts and tools needed to analyze complex systemsIllustrates the interdisciplinary dimension of complexity research through representative examples pertaining to problems of current concernNew edition, including a large collection of exercises and problems with hints for solution and an updated survey of the literatureReviews: “The book can be used as a textbook by graduate students, researchers and teachers in science, as well as non-experts who wish to have an overview of the field.” Zentralblatt MATH