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A Nonlinear Dynamics Perspective Of Wolframs New Kind Of Science
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Book Synopsis A Nonlinear Dynamics Perspective of Wolfram's New Kind of Science by : Leon O. Chua
Download or read book A Nonlinear Dynamics Perspective of Wolfram's New Kind of Science written by Leon O. Chua and published by World Scientific. This book was released on 2011-03-30 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: Annotation This text introduces cellular automata from a rigorous nonlinear dynamics perspective. It supplies the missing link between nonlinear differential and difference equations to discrete symbolic analysis. It provides an analysis, and classification of the empirical results presented in Wolfram's 'New Kind of Science'.
Book Synopsis A Nonlinear Dynamics Perspective of Wolfram's New Kind of Science by :
Download or read book A Nonlinear Dynamics Perspective of Wolfram's New Kind of Science written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Nonlinear Dynamics Perspective of Wolfram's New Kind of Science by : Leon O Chua
Download or read book A Nonlinear Dynamics Perspective of Wolfram's New Kind of Science written by Leon O Chua and published by World Scientific. This book was released on 2012-03-13 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This penultimate volume contains numerous original, elegant, and surprising results in 1-dimensional cellular automata. Perhaps the most exciting, if not shocking, new result is the discovery that only 82 local rules, out of 256, suffice to predict the time evolution of any of the remaining 174 local rules from an arbitrary initial bit-string configuration. This is contrary to the well-known folklore that 256 local rules are necessary, leading to the new concept of quasi-global equivalence. Another surprising result is the introduction of a simple, yet explicit, infinite bit string called the super string S, which contains all random bit strings of finite length as sub-strings. As an illustration of the mathematical subtlety of this amazing discrete testing signal, the super string S is used to prove mathematically, in a trivial and transparent way, that rule 170 is as chaotic as a coin toss. Yet another unexpected new result, among many others, is the derivation of an explicit basin tree generation formula which provides an analytical relationship between the basin trees of globally-equivalent local rules. This formula allows the symbolic, rather than numerical, generation of the time evolution of any local rule corresponding to any initial bit-string configuration, from one of the 88 globally-equivalent local rules. But perhaps the most provocative idea is the proposal for adopting rule 137, over its three globally-equivalent siblings, including the heretofore more well-known rule 110, as the prototypical universal Turing machine. Contents:Period-2 Rules:Recap of Period-2 RulesBasin Tree DiagramsRobust ω-Limit Orbits of Local Rules Belonging to Group 2Quasi Global-EquivalenceSuper String S and Super Decimal xSConcluding RemarksPeriod-3, Period-6, and Permutive Rules:List of the 88 Minimal Equivalence RulesBasin Tree Diagrams, Omega-Limit Orbits and Time-τ Characteristic Function of Rules from Group 3Robust ω-Limit Orbits of Rules from Group 3Permutive RulesConcluding Remarks Readership: Graduate students, researchers and academics interested in nonlinear dynamics, computer science and complexity theory. Keywords:Cellular Automata;CNN;Chua;Wolfram;Wolfram's New Kind of Science;Computer Science;Complexity;Nonlinear Dynamics
Book Synopsis Nonlinear Dynamics Perspective Of Wolfram's New Kind Of Science, A - Volume Iii by : Leon O Chua
Download or read book Nonlinear Dynamics Perspective Of Wolfram's New Kind Of Science, A - Volume Iii written by Leon O Chua and published by World Scientific. This book was released on 2009-08-11 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 στ-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.
Book Synopsis A Nonlinear Dynamics Perspective of Wolfram's New Kind of Science by : Leon O Chua
Download or read book A Nonlinear Dynamics Perspective of Wolfram's New Kind of Science written by Leon O Chua and published by World Scientific. This book was released on 2013-07-10 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: This invaluable volume ends the quest to uncover the secret recipes for predicting the long-term evolution of a ring of identical elementary cells where the binary state of each cell during each generation of an attractor (i.e. after the transients had disappeared) is determined uniquely by the state of its left and right neighbors in the previous generation, as decreed by one of 256 truth tables. As befitting the contents aimed at school children, it was found pedagogically appealing to code each truth table by coloring each of the 8 vertices of a cubical graph in red (for binary state 1), or blue (for binary state 0), forming a toy universe of 256 Boolean cubes, each bearing a different vertex color combination. The corresponding collection of 256 distinct Boolean cubes are then segegrated logically into 6 distinct groups where members from each group share certain common dynamics which allow the long-term evolution of the color configuration of each bit string, of arbitrary length, to be predicted painlessly, via a toy-like gaming procedure, without involving any calculation. In particular, the evolution of any bit string bearing any initial color configuration which resides in any one of the possibly many distinct attractors, can be systematically predicted, by school children who are yet to learn arithmetic, via a simple recipe, for any Boolean cube belonging to group 1, 2, 3, or 4. The simple recipe for predicting the time-asymptotic behaviors of Boolean cubes belonging to groups 1, 2, and 3 has been covered in Vols. I, II, ..., V. This final volume continues the recipe for each of the 108, out of 256, local rules, dubbed the Bernoulli rules, belonging to group 4. Here, for almost half of the toy universe, surprisingly simple recipes involving only the following three pieces of information are derived in Vol. VI; namely, a positive integer τ, a positive, or negative, integer σ, and a sign parameter β > 0, or β < 0. In particular, given any color configuration belonging to an attractor of any one of the 108 Boolean cubes from group 4, any child can predict the color configuration after τ generations, without any computation, by merely shifting each cell σ bits to the left (resp. right) if σ > 0 (resp. σ < 0), and then change the color of each cell if β < 0. As in the five prior volumes, Vol. VI also contains simple recipes which are, in fact, general and original results from the abstract theory of 1-dimensional cellular automata. Indeed, both children and experts from cellular automata will find this volume to be as deep, refreshing, and entertaining, as the previous volumes. Contents:Bernoulli στ-Shift Rules:IntroductionBasin Tree Diagrams, Omega-Limit Orbits and Space-Time PatternsRobust and Nonrobust ω-Limit Orbits of Rules from Group 4Concluding RemarksMore Bernoulli στ-Shift Rules:IntroductionBernoulli στ-Shift RulesRobust and Nonrobust ω-Limit Orbits of Rules from Group 4Summary of Elementary 1D Cellular AutomataConcluding RemarksRemembrance of Things Past:Vignettes from Volume IVignettes from Volume IIVignettes from Volume IIIVignettes from Volume IVVignettes from Volume VVignettes from Volume VIVignettes of Metaphors from Biology, Cosmology, Physics, etc.Vignettes of 256 Boolean Cubes Readership: Students, researchers, academics as well as laymen interested in nonlinear dynamics, computer science and complexity theory. Keywords:Cellular Automata;CNN;Chua;Wolfram;Wolfram's New Kind of Science;Computer Science;Complexity;Nonlinear Dynamics
Book Synopsis A Nonlinear Dynamics Perspective of Wolfram's New Kind of Science by : Leon O. Chua
Download or read book A Nonlinear Dynamics Perspective of Wolfram's New Kind of Science written by Leon O. Chua and published by World Scientific Publishing Company. This book was released on 2006 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: When not immersed in science, he relaxes by searching for Wagner's leitmotifs, musing over Kandinsky's chaos, and contemplating Wittgenstein's inner thoughts.This penultimate volume contains numerous original, elegant, and surprising results in 1-dimensional cellular automata. Perhaps the most exciting, if not shocking, new result is the discovery that only 82 local rules, out of 256, suffice to predict the time evolution of any of the remaining 174 local rules from an arbitrary initial bit-string configuration. This is contrary to the well-known folklore that 256 local rules are necessary, leading to the new concept of quasi-global equivalence.Another surprising result is the introduction of a simple, yet explicit, infinite bit string called the super string S, which contains all random bit strings of finite length as sub-strings. As an illustration of the mathematical subtlety of this amazing discrete testing signal, the super string S is used to prove mathematically, in a trivial and transparent way, that rule 170 is as chaotic as a coin toss.Yet another unexpected new result, among many others, is the derivation of an explicit basin tree generation formula which provides an analytical relationship between the basin trees of globally-equivalent local rules. This formula allows the symbolic, rather than numerical, generation of the time evolution of any local rule corresponding to any initial bit-string configuration, from one of the 88 globally-equivalent local rules.But perhaps the most provocative idea is the proposal for adopting rule 137, over its three globally-equivalent siblings, including the heretofore more well-known rule 110, as the prototypical universal Turing machine.
Book Synopsis A Nonlinear Dynamics Perspective of Wolfram's New Kind of Science by : Leon O. Chua
Download or read book A Nonlinear Dynamics Perspective of Wolfram's New Kind of Science written by Leon O. Chua and published by World Scientific. This book was released on 2012 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: This penultimate volume contains numerous original, elegant, and surprising results in 1-dimensional cellular automata. Perhaps the most exciting, if not shocking, new result is the discovery that only 82 local rules, out of 256, suffice to predict the time evolution of any of the remaining 174 local rules from an arbitrary initial bit-string configuration. This is contrary to the well-known folklore that 256 local rules are necessary, leading to the new concept of quasi-global equivalence . Another surprising result is the introduction of a simple, yet explicit, infinite bit string called the super string S, which contains all random bit strings of finite length as sub-strings. As an illustration of the mathematical subtlety of this amazing discrete testing signal, the super string S is used to prove mathematically, in a trivial and transparent way, that rule 170 is as chaotic as a coin toss . Yet another unexpected new result, among many others, is the derivation of an explicit basin tree generation formula which provides an analytical relationship between the basin trees of globally-equivalent local rules. This formula allows the symbolic, rather than numerical, generation of the time evolution of any local rule corresponding to any initial bit-string configuration, from one of the 88 globally-equivalent local rules. But perhaps the most provocative idea is the proposal for adopting rule 137, over its three globally-equivalent siblings, including the heretofore more well-known rule 110, as the prototypical universal Turing machine .
Book Synopsis 'A Nonlinear Dynamics Perspective of Wolfram''s New Kind of Science' by : Leon O Chua
Download or read book 'A Nonlinear Dynamics Perspective of Wolfram''s New Kind of Science' written by Leon O Chua and published by World Scientific. This book was released on 2006-06-08 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: ' This novel book introduces cellular automata from a rigorous nonlinear dynamics perspective. It supplies the missing link between nonlinear differential and difference equations to discrete symbolic analysis. A surprisingly useful interpretations of cellular automata in terms of neural networks is also given. The book provides a scientifically sound and original analysis, and classifications of the empirical results presented in Wolfram''s monumental “New Kind of Science.” Readership: Graduate students, academics and researchers in nonlinear dynamics, computer science and complexity theory.Keywords:Cellular Automata;Nonlinear Dynamics;Wolfram;Neural Networks;Cellular Neural Networks;CNN;Universal Computation;Turing Machine;Chaos;Nonlinear Science;Complexity;Emergence "This book is a colourful presentation with fresh ideas and attractive illustrations … those studying non-linear sciences, electronic engineering, mathematics and logics, complexity and emergent phenomena, and possibly even chemistry and biology will certainly discover exciting concepts, analogies and research tools in this refreshing text. Anyone from freshmen to elderly academics will find parts interesting to them. The volumes are somewhat special and exciting because they possess a unique ''Chua brand'' and show gradual development of ideas and concepts in an educational and entertaining hence mathematically rigorous manner." Journal of Cellular Automata "There is much of interest here, and in particular many interesting examples presented in novel ways." Zentralblatt MATH '
Book Synopsis Nonlinear Dynamics Perspective Of Wolfram's New Kind Of Science, A (In 2 Volumes) - Volume Ii by : Leon O Chua
Download or read book Nonlinear Dynamics Perspective Of Wolfram's New Kind Of Science, A (In 2 Volumes) - Volume Ii written by Leon O Chua and published by World Scientific. This book was released on 2007-07-10 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: This novel book introduces cellular automata from a rigorous nonlinear dynamics perspective. It supplies the missing link between nonlinear differential and difference equations to discrete symbolic analysis. A surprisingly useful interpretations of cellular automata in terms of neural networks is also given. The book provides a scientifically sound and original analysis, and classifications of the empirical results presented in Wolfram's monumental ';New Kind of Science.';/a
Book Synopsis A New Kind of Science by : Stephen Wolfram
Download or read book A New Kind of Science written by Stephen Wolfram and published by . This book was released on 2002 with total page 1197 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work presents a series of dramatic discoveries never before made public. Starting from a collection of simple computer experiments---illustrated in the book by striking computer graphics---Wolfram shows how their unexpected results force a whole new way of looking at the operation of our universe. Wolfram uses his approach to tackle a remarkable array of fundamental problems in science: from the origin of the Second Law of thermodynamics, to the development of complexity in biology, the computational limitations of mathematics, the possibility of a truly fundamental theory of physics, and the interplay between free will and determinism.
Book Synopsis Chaos, CNN, Memristors and Beyond by : Andrew Adamatzky
Download or read book Chaos, CNN, Memristors and Beyond written by Andrew Adamatzky and published by World Scientific. This book was released on 2013-01-02 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Local Activity Principle by : Klaus Mainzer
Download or read book Local Activity Principle written by Klaus Mainzer and published by World Scientific. This book was released on 2013 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: The principle of local activity explains the emergence of complex patterns in a homogeneous medium. At first defined in the theory of nonlinear electronic circuits in a mathematically rigorous way, it can be generalized and proven at least for the class of nonlinear reactionOCodiffusion systems in physics, chemistry, biology, and brain research. Recently, it was realized by memristors for nanoelectronic device applications. In general, the emergence of complex patterns and structures is explained by symmetry breaking in homogeneous media, which is caused by local activity. This book argues that the principle of local activity is really fundamental in science, and can even be identified in quantum cosmology as symmetry breaking of local gauge symmetries generating the complexity of matter and forces in our universe. Applications are considered in economic, financial, and social systems with the emergence of equilibrium states, symmetry breaking at critical points of phase transitions and risky acting at the edge of chaos.
Book Synopsis Nonlinear Dynamics and Chaos by : Steven H. Strogatz
Download or read book Nonlinear Dynamics and Chaos written by Steven H. Strogatz and published by CRC Press. This book was released on 2018-05-04 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.
Book Synopsis Irreducibility and Computational Equivalence by : Hector Zenil
Download or read book Irreducibility and Computational Equivalence written by Hector Zenil and published by Springer Science & Business Media. This book was released on 2012-12-25 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is clear that computation is playing an increasingly prominent role in the development of mathematics, as well as in the natural and social sciences. The work of Stephen Wolfram over the last several decades has been a salient part in this phenomenon helping founding the field of Complex Systems, with many of his constructs and ideas incorporated in his book A New Kind of Science (ANKS) becoming part of the scientific discourse and general academic knowledge--from the now established Elementary Cellular Automata to the unconventional concept of mining the Computational Universe, from today's widespread Wolfram's Behavioural Classification to his principles of Irreducibility and Computational Equivalence. This volume, with a Foreword by Gregory Chaitin and an Afterword by Cris Calude, covers these and other topics related to or motivated by Wolfram's seminal ideas, reporting on research undertaken in the decade following the publication of Wolfram's NKS book. Featuring 39 authors, its 23 contributions are organized into seven parts: Mechanisms in Programs & Nature Systems Based on Numbers & Simple Programs Social and Biological Systems & Technology Fundamental Physics The Behavior of Systems & the Notion of Computation Irreducibility & Computational Equivalence Reflections and Philosophical Implications.
Book Synopsis Localization And Solitary Waves In Solid Mechanics by : Alan R Champneys
Download or read book Localization And Solitary Waves In Solid Mechanics written by Alan R Champneys and published by World Scientific. This book was released on 1999-11-30 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of recent reprints and new material on fundamentally nonlinear problems in structural systems which demonstrate localized responses to continuous inputs. It has two intended audiences. For mathematicians and physicists it should provide useful new insights into a classical yet rapidly developing area of application of the rich subject of dynamical systems theory. For workers in structural and solid mechanics it introduces a new methodology for dealing with structural localization and the related topic of the generation of solitary waves. Applications range from classical problems such as the buckling of cylindrical shells, twisted rods and pipelines, to the folding of geological strata, the failure of sandwich structures and the propagation of solitary waves in suspended beam systems.
Book Synopsis Cellular Automata and Complex Systems: Methods for Modeling Biological Phenomena by : Bilotta, Eleonora
Download or read book Cellular Automata and Complex Systems: Methods for Modeling Biological Phenomena written by Bilotta, Eleonora and published by IGI Global. This book was released on 2010-06-30 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The theme of this book is the use of Cellular Automatas (CAs) to model biological systems, describing 2-D CAs to create populations of "life-like agents" with their own genomes"--Provided by publisher.
Book Synopsis Methods of Qualitative Theory in Nonlinear Dynamics by : Leonid P. Shilnikov
Download or read book Methods of Qualitative Theory in Nonlinear Dynamics written by Leonid P. Shilnikov and published by World Scientific. This book was released on 1998 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bifurcation and Chaos has dominated research in nonlinear dynamics for over two decades and numerous introductory and advanced books have been published on this subject. There remains, however, a dire need for a textbook which provides a pedagogically appealing yet rigorous mathematical bridge between these two disparate levels of exposition. This book is written to serve the above unfulfilled need. Following the footsteps of Poincare, and the renowned Andronov school of nonlinear oscillations, this book focuses on the qualitative study of high-dimensional nonlinear dynamical systems. Many of the qualitative methods and tools presented in this book were developed only recently and have not yet appeared in a textbook form. In keeping with the self-contained nature of this book, all topics are developed with an introductory background and complete mathematical rigor. Generously illustrated and written with a high level of exposition, this book will appeal to both beginners and advanced studentsof nonlinear dynamics interested in learning a rigorous mathematical foundation of this fascinating subject.
