This book, the first in a series on this subject, is the outcome of many years of efforts to give a new all-encompassing approach to complex systems in nature based on chaos theory. While maintaining a high level of rigor, the authors avoid an overly complicated mathematical apparatus, making the book accessible to a wider interdisciplinary readership.

Chaos and Dynamical Systems presents an accessible, clear introduction to dynamical systems and chaos theory, important and exciting areas that have shaped many scientific fields. While the rules governing dynamical systems are well-specified and simple, the behavior of many dynamical systems is remarkably complex. Of particular note, simple deterministic dynamical systems produce output that appears random and for which long-term prediction is impossible. Using little math beyond basic algebra, David Feldman gives readers a grounded, concrete, and concise overview. In initial chapters, Feldman introduces iterated functions and differential equations. He then surveys the key concepts and results to emerge from dynamical systems: chaos and the butterfly effect, deterministic randomness, bifurcations, universality, phase space, and strange attractors. Throughout, Feldman examines possible scientific implications of these phenomena for the study of complex systems, highlighting the relationships between simplicity and complexity, order and disorder. Filling the gap between popular accounts of dynamical systems and chaos and textbooks aimed at physicists and mathematicians, Chaos and Dynamical Systems will be highly useful not only to students at the undergraduate and advanced levels, but also to researchers in the natural, social, and biological sciences.

Helene Shulman integrates experiences of synchronicity, altered states of consciousness, trance, ritual, Buddhist meditation practice and creativity into a broad perspective on cross-cultural psychology. What emerges is a comprehensive way to understand psychological illness and healing as a perpetual work-in-progress near the edge of chaos, where the seeds for new models of reality lie. With mental illness as the focus, she leads us on a fascinating interdisciplinary exploration, linking such areas as cultural studies, anthropology, evolutionary science and new work in mathematics and computer science " known as complexity theory " to Jungian psychology. A new paradigm for postmodern psychology emerges as the author presents a dynamic theoretical model containing rational and irrational aspects of individual and collective life.

From Hamiltonian Chaos to Complex Systems: A Nonlinear Physics Approach collects contributions on recent developments in non-linear dynamics and statistical physics with an emphasis on complex systems. This book provides a wide range of state-of-the-art research in these fields. The unifying aspect of this book is demonstration of how similar tools coming from dynamical systems, nonlinear physics, and statistical dynamics can lead to a large panorama of research in various fields of physics and beyond, most notably with the perspective of application in complex systems.

"Put together one of the world's best science writers with one of the universe's most fascinating subjects and you are bound to produce a wonderful book. . . . The subject of complexity is vital and controversial. This book is important and beautifully done."—Stephen Jay Gould "[Complexity] is that curious mix of complication and organization that we find throughout the natural and human worlds: the workings of a cell, the structure of the brain, the behavior of the stock market, the shifts of political power. . . . It is time science . . . thinks about meaning as well as counting information. . . . This is the core of the complexity manifesto. Read it, think about it . . . but don't ignore it."—Ian Stewart, Nature This second edition has been brought up to date with an essay entitled "On the Edge in the Business World" and an interview with John Holland, author of Emergence: From Chaos to Order.

This invaluable book is a unique collection of tributes to outstanding discoveries pioneered by Leon Chua in nonlinear circuits, cellular neural networks, and chaos. It is comprised of three parts. The first — cellular nonlinear networks, nonlinear circuits and cellular automata — deals with Chua's Lagrangian circuits, cellular wave computers, bio-inspired robotics and neuro-morphic architectures, toroidal chaos, synaptic cellular automata, history of Chua's circuits, cardiac arrhythmias, local activity principle, symmetry breaking and complexity, bifurcation trees, and Chua's views on nonlinear dynamics of cellular automata. Dynamical systems and chaos is the scope of the second part of the book, where we find genius accounts on theory and application of Julia set, stability of dynamical networks, chaotic neural networks and neocortical dynamics, dynamics of piecewise linear systems, chaotic mathematical circuitry, synchronization of oscillators, models of catastrophic events, control of chaotic systems, symbolic dynamics, and solitons. First hand accounts on the discovery of memristors in HP Labs, historical excursions into ‘ancient memristors’, analytical analysis of memristors, and hardware memristor emulators are presented in the third and final part of the book. The book is quintessence of ideas on future and emergent hardware, analytic theories of complex dynamical systems and interdisciplinary physics. It is a true Renaissance volume where bright ideas of electronics, mathematics and physics enlighten facets of modern science. The unique DVD covers the artistic aspects of chaos, such as several stunningly melodious musical compositions using chaotic atttractors, a virtual gallery of hundreds of colorful attractors, and even a cartoon-like play on the genesis of Chua's circuit that was based on a widely acclaimed performance in Rome and other venues in Italy. In short, it is a veritable kaleiscope of never-before-published historical, pedagogical, and futuristic technical visions on three timely topics of intense interest for both lay readers and experts alike. Contents:Cellular Nonlinear Networks, Nonlinear Circuits and Cellular Automata:Genealogy of Chua's Circuit (Peter Kennedy)Impasse Points, Mutators, and Other Chua Creations (Hyongsuk Kim)Chua's Lagrangian Circuit Elements (Orla Feely)From CNN Dynamics to Cellular Wave Computers (Tamas Roska)Contributions of CNN to Bio-Robotics and Brain Science (Paolo Arena and Luca Patané)From Radio-amateurs' Electronics to Toroidal Chaos (Otto E Rössler and Christophe Letellier)Analyzing the Dynamics of Excitatory Neural Networks by Synaptic Cellular Automata (V Nekorkin, A Dmitrichev, D Kasatkin and V Afraimovich)Dynamical Systems Perspective of Wolfram's Cellular Automata (M Courbage and B Kamińki)The Genesis of Chua's Circuit: Connecting Science, Art and Creativity (Francesca Bertacchini, Eleonora Bilotta, Giuseppe Laria and Pietro Pantano)Nonlinear Electronics Laboratory (NOEL): A Reminiscence (Chai Wah Wu)Bursting in Cellular Automata and Cardiac Arrhythmias (Gil Bub, Alvin Shrier and Leon Glass)Local Activity Principle: The Cause of Complexity and Symmetry Breaking (Klaus Mainzer)Explorations in the Forest of Bifurcation Trees: Route from Chua's Circuit to Chua's Memristive Oscillator (Łukasz Czerwiński and Maciej J Ogorzałek)Chua's Nonlinear Dynamics Perspective Cellular Automata (Giovanni E Pazienza)Application of CNN to Brainlike Computing (Bertram E Shi)Ideal Turbulence Phenomenon and Transmission Line with Chua's Diode (E Yu Romanenko and A N Sharkovsky)Chaos in Electronic Circuits: Chua's Contribution (1980–2000) (Christophe Letellier)Dynamical Systems and Chaos:Connectivity of Julia Sets for Singularly Perturbed Rational Maps (Robert L Devaney and Elizabeth D Russell)Structural Transformations and Stability of Dynamical Networks (L A Bunimovich and B Z Webb)Chua's Time (Arturo Buscarino, Luigi Fortuna and Mattia Frasca)Chaotic Neural Networks and Beyond (Kazuyuki Aihara, Taiji Yamada and Makito Oku)Chaotic Neocritical Dynamics (Walter J Freeman)Nonlinear Dynamics of a Class of Piecewise Linear Systems (M Lakshmanan and K Murali)Chaotic Mathematical Circuitry (R Lozi)Chua's Equation was Proved to be Chaotic in Two Years, Lorenz Equation in Thirty Six Years (Bharathwaj Muthuswamy)Toward a Quantitative Formulation of Emergence (G Nicolis)Controlled Synchronization of Chaotic Oscillators with Huygens' Coupling (J Peńa-Ramírez, R H B Fey and H Nijmeijer)Using Time-Delay Feedback for Control and Synchronization of Dynamical Systems (Kestutis Pyragas, Viktoras Pyragas and Tatjana Pyragiene)Models of Catastrophic Events and Suggestions to Foretell Them (Yves Pomeau and Martine Le Berre)Synchronization Propensity in Networks of Dynamical Systems: A Purely Topological Indicator (Stefano Fasani and Sergio Rinaldi)Further Progress in Partial Control of Chaotic Systems (Juan Sabuco, Miguel Sanjuan and Samuel Zambrano)Phase and Complete Synchronizations in Time-Delay Systems (D V Senthilkumar, M Manju Shrii and J Kurths)Symbolic Dynamics and Spiral Structures due to the Saddle-Focus Bifurcations (Andrey Shilnikov, Leonid Shilnikov and Roberto Barrio)Dynamics of Periodically Forced Mass Point on Constrained Surface with Changing Curvature (Yoshisuke Ueda)Solitons for Describing 3-D Physical Reality: The Current Frontier (Paul J Werbos)Thermal Solitons in 1D and 2D Anharmonic Lattices — Solectrons and the Organization of Non-Linear Fluctuations in Long-Living Dynamical Structures (M G Velarde, W Ebeling and A P Chetverikov)Global Optimizations by Intermittent Diffusion (Shui-Nee Chow, Tzi-Sheng Yang and Hao-Min Zhou)Memristors:How We Found the Missing Memristor (R Stanley Williams)Aftermath of Finding the Memristor (R Stanley Williams)The Singing Arc: The Oldest Memristor? (Jean-Marc Ginoux and Bruno Rossetto)Two Centuries of Memristors (Themistoklis Prodromakis)State Equations for Active Circuits with Memristors (Martin Hasler)Analytical Analysis of Memristive Networks (Torsten Schmidt, Willi Neudeck, Ute Feldmann and Ronald Tetzlaff)Hardware Memristor Emulators (Andrew L Fitch, Herbert H C Iu and Chi K Tse)Leon Chua's Memristor (Guanrong Chen) Readership: Graduate students, researchers and academics in all engineering disciplines as well as historians of science. Keywords:Memristors;CNN;Chaos;Dynamical SystemsKey Features:Unique personality of Leon Chua and enormity of his achievements underpins the structure of the bookConglomerate of hot topics: memristors, chaos, computationalOriginal papers from renown scholars and researchers as well as numerous tutorials and historical expositions on each of the topicsHigh pedagogical value makes the book a timeless referenceReviews: "It is a veritable kaleidoscope of never-before-published historical, pedagogical, and futuristic technical visions on three timely topics of intense interest for both lay readers and experts alike." Zentralblatt MATH