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Chaotic Logic

Chaotic Logic PDF Author: Ben Goertzel
Publisher: Springer Science & Business Media
ISBN: 1475721978
Category : Psychology
Languages : en
Pages : 290

Book Description
This book summarizes a network of interrelated ideas which I have developed, off and on, over the past eight or ten years. The underlying theme is the psychological interplay of order and chaos. Or, to put it another way, the interplay of deduction and induction. I will try to explain the relationship between logical, orderly, conscious, rule-following reason and fluid, self organizing, habit-governed, unconscious, chaos-infused intuition. My previous two books, The Structure of Intelligence and The Evolving Mind, briefly touched on this relationship. But these books were primarily concerned with other matters: SI with constructing a formal language for discussing mentality and its mechanization, and EM with exploring the role of evolution in thought. They danced around the edges of the order/chaos problem, without ever fully entering into it. My goal in writing this book was to go directly to the core of mental process, "where angels fear to tread" -- to tackle all the sticky issues which it is considered prudent to avoid: the nature of consciousness, the relation between mind and reality, the justification of belief systems, the connection between creativity and mental illness,.... All of these issues are dealt with here in a straightforward and unified way, using a combination of concepts from my previous work with ideas from chaos theory and complex systems science.

Chaotic Logic

Chaotic Logic PDF Author: Ben Goertzel
Publisher: Springer Science & Business Media
ISBN: 1475721978
Category : Psychology
Languages : en
Pages : 290

Book Description
This book summarizes a network of interrelated ideas which I have developed, off and on, over the past eight or ten years. The underlying theme is the psychological interplay of order and chaos. Or, to put it another way, the interplay of deduction and induction. I will try to explain the relationship between logical, orderly, conscious, rule-following reason and fluid, self organizing, habit-governed, unconscious, chaos-infused intuition. My previous two books, The Structure of Intelligence and The Evolving Mind, briefly touched on this relationship. But these books were primarily concerned with other matters: SI with constructing a formal language for discussing mentality and its mechanization, and EM with exploring the role of evolution in thought. They danced around the edges of the order/chaos problem, without ever fully entering into it. My goal in writing this book was to go directly to the core of mental process, "where angels fear to tread" -- to tackle all the sticky issues which it is considered prudent to avoid: the nature of consciousness, the relation between mind and reality, the justification of belief systems, the connection between creativity and mental illness,.... All of these issues are dealt with here in a straightforward and unified way, using a combination of concepts from my previous work with ideas from chaos theory and complex systems science.

Chaotic Signal Processing

Chaotic Signal Processing PDF Author: Henry Leung
Publisher: SIAM
ISBN: 1611973252
Category : Science
Languages : en
Pages : 189

Book Description
An authoritative guide to up-to-date research results on chaotic signal processing aimed at researchers and graduate students in chaos, applied nonlinear dynamics, signal processing and radar communications. This book examines the applications of chaotic signal processing to radar, communications, system identification and computing.

Models and Applications of Chaos Theory in Modern Sciences

Models and Applications of Chaos Theory in Modern Sciences PDF Author: Elhadj Zeraoulia
Publisher: CRC Press
ISBN: 1439883408
Category : Mathematics
Languages : en
Pages : 742

Book Description
This book presents a select group of papers that provide a comprehensive view of the models and applications of chaos theory in medicine, biology, ecology, economy, electronics, mechanical, and the human sciences. Covering both the experimental and theoretical aspects of the subject, it examines a range of current topics of interest. It consid

Fuzzy Chaotic Systems

Fuzzy Chaotic Systems PDF Author: Zhong Li
Publisher: Springer
ISBN: 3540332219
Category : Computers
Languages : en
Pages : 300

Book Description
This book presents the fundamental concepts of fuzzy logic and fuzzy control, chaos theory and chaos control. It also provides a definition of chaos on the metric space of fuzzy sets. The book raises many questions and generates a great potential to attract more attention to combine fuzzy systems with chaos theory. In this way it contains important seeds for future scientific research and engineering applications.

International Conference on Theory and Application in Nonlinear Dynamics (ICAND 2012)

International Conference on Theory and Application in Nonlinear Dynamics (ICAND 2012) PDF Author: Visarath In
Publisher: Springer
ISBN: 3319029258
Category : Technology & Engineering
Languages : en
Pages : 341

Book Description
A collection of different lectures presented by experts in the field of nonlinear science provides the reader with contemporary, cutting-edge, research works that bridge the gap between theory and device realizations of nonlinear phenomena. Representative examples of topics covered include: chaos gates, social networks, communication, sensors, lasers, molecular motors, biomedical anomalies, stochastic resonance, nano-oscillators for generating microwave signals and related complex systems. A common theme among these and many other related lectures is to model, study, understand, and exploit the rich behavior exhibited by nonlinear systems to design and fabricate novel technologies with superior characteristics. Consider, for instance, the fact that a shark’s sensitivity to electric fields is 400 times more powerful than the most sophisticated electric-field sensor. In spite of significant advances in material properties, in many cases it remains a daunting task to duplicate the superior signal processing capabilities of most animals. Since nonlinear systems tend to be highly sensitive to perturbations when they occur near the onset of a bifurcation, there are also lectures on the general topic of bifurcation theory and on how to exploit such bifurcations for signal enhancements purposes. This manuscript will appeal to researchers interested in both theory and implementations of nonlinear systems.

Chaotic Oscillators

Chaotic Oscillators PDF Author: T Kapitaniak
Publisher: World Scientific
ISBN: 9814506214
Category : Medical
Languages : en
Pages : 668

Book Description
This volume brings together a comprehensive selection of over fifty reprints on the theory and applications of chaotic oscillators. Included are fundamental mathematical papers describing methods for the investigation of chaotic behavior in oscillatory systems as well as the most important applications in physics and engineering. There is currently no book similar to this collection. Contents: Chaos before Chaos:Frequency Demultiplication (B Van der Pol & J Van der Mark)Description and Quantification of Chaotic Behavior:Geometry from a Time Series (N H Packard et al.)Analytical Methods:A Partial Differential Equation with Infinitely Many Periodic Orbits: Chaotic Oscillations of a Forced Beam (P Holmes & J Marsden)Classical Nonlinear Oscillators: Duffing, Van der Pol and Pendulum:Universal Scaling Property in Bifurcation Structure of Duffing's and Generalized Duffing's Equations (S Sato et al.)Other Oscillatory Systems:Complex Dynamics of Compliant Off-Shore Structures (J M T Thompson)Chaos in Noisy Systems:Fluctuations and the Onset of Chaos (J P Crutchfield & B A Huberman)Strange Nonchaotic Attractors:Dimensions of Strange Nonchaotic Attractors (M Ding et al.)Spatial Chaos:Chaos as a Limit in a Boundary Value Problem (C Kahlert & O E Rössler)Fractal Basin Boundaries:Fractal Basin Boundaries and Homoclinic Orbit for Periodic Motion in a Two-Well Potential (F C Moon & G-H Li)and other papers Readership: Nonlinear scientists, applied mathematicians, engineers and physicists. keywords:

Chaos Theory: Modeling, Simulation And Applications - Selected Papers From The 3rd Chaotic Modeling And Simulation International Conference (Chaos2010)

Chaos Theory: Modeling, Simulation And Applications - Selected Papers From The 3rd Chaotic Modeling And Simulation International Conference (Chaos2010) PDF Author: Christos H Skiadas
Publisher: World Scientific
ISBN: 9814460478
Category : Science
Languages : en
Pages : 468

Book Description
The work done in chaotic modeling and simulation during the last decades has changed our views of the world around us and has introduced new scientific tools, methods and techniques. Advanced topics of these achievements are included in this volume on Chaos Theory which focuses on Chaotic Modeling, Simulation and Applications of the nonlinear phenomena. This volume includes the best papers presented in the 3rd International Conference on CHAOS. This interdisciplinary conference attracted people from many scientific fields dealing with chaos, nonlinear dynamics, fractals and the works presented and the papers included here are of particular interest that could provide a broad understanding of chaos in its various forms.The chapters relate to many fields of chaos including Dynamical and Nonlinear Systems, Attractors and Fractals, Hydro-Fluid Dynamics and Mechanics, Chaos in Meteorology and Cosmology, Chaos in Biology and Genetics, Chaotic Control, Chaos in Economy and Markets, and Computer Composition and Chaotic Simulations, including related applications.

Fuzzy Logic

Fuzzy Logic PDF Author: Paul P. Wang
Publisher: Springer
ISBN: 3540712585
Category : Technology & Engineering
Languages : en
Pages : 459

Book Description
How far can you take fuzzy logic, the brilliant conceptual framework made famous by George Klir? With this book, you can find out. The authors of this updated edition have extended Klir’s work by taking fuzzy logic into even more areas of application. It serves a number of functions, from an introductory text on the concept of fuzzy logic to a treatment of cutting-edge research problems suitable for a fully paid-up member of the fuzzy logic community.

Chaos Theory

Chaos Theory PDF Author: Christos H. Skiadas
Publisher: World Scientific
ISBN: 9814350338
Category : Science
Languages : en
Pages : 467

Book Description
The work done in chaotic modeling and simulation during the last decades has changed our views of the world around us and has introduced new scientific tools, methods and techniques. Advanced topics of these achievements are included in this volume on Chaos Theory which focuses on Chaotic Modeling, Simulation and Applications of the nonlinear phenomena. This volume includes the best papers presented in the 3rd International Conference on CHAOS. This interdisciplinary conference attracted people from many scientific fields dealing with chaos, nonlinear dynamics, fractals and the works presented and the papers included here are of particular interest that could provide a broad understanding of chaos in its various forms. The chapters relate to many fields of chaos including Dynamical and Nonlinear Systems, Attractors and Fractals. Hydro-Fluid Dynamics and Mechanics, Chaos in Meteorology and Cosmology, Chaos in Biology and Genetics, Chaotic Control, Chaos in Economy and Markets, and Computer Composition and Chaotic Simulations, including related applications, are presented.

A Chaotic Hierarchy

A Chaotic Hierarchy PDF Author: Gerold Baier
Publisher: World Scientific
ISBN: 981461890X
Category :
Languages : en
Pages : 412

Book Description
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