Chaos, CNN, Memristors and Beyond : A Festschrift for Leon Chua (With Dvd-Rom, Composed by Eleonora Bilotta).
Title:
Chaos, CNN, Memristors and Beyond : A Festschrift for Leon Chua (With Dvd-Rom, Composed by Eleonora Bilotta).
Author:
Adamatzky, Andrew.
ISBN:
9789814434805
Personal Author:
Physical Description:
1 online resource (562 pages)
Contents:
CONTENTS -- Preface -- Part I. Cellular Nonlinear Networks, Nonlinear Circuits and Cellular Automata -- 1. Genealogy of Chua's Circuit Peter Kennedy -- 1. Introduction -- 2. History -- 3. Five-element Chua's Circuit -- 3.1. Discrete circuit realization -- 3.2. Piecewise-linear Chua diode -- 3.2.1. Op amp-based negative impedance converters -- 3.2.2. Current-mode negative impedance converters -- 3.2.3. Transistor-based negative impedance converter and diodes -- 3.3. Cubic nonlinearity -- 3.4. Asymmetric nonlinearity -- 3.5. Inductor -- 3.5.1. Gyrator-based inductor -- 3.6. Integrated circuit realization -- 4. Four-element Chua's Circuit -- 5. Three-element Chaotic Circuit -- 6. Summary -- References -- 2. Impasse Points, Mutators, and Other Chua Creations Hyongsuk Kim -- 1. Introduction -- 2. Impasse Points -- 3. Mutators -- 3.1. Realization of mutators -- 3.2. Experimental verification of mutators -- 4. Other Chua Creations -- Acknowledgment -- References -- 3. Chua's Lagrangian Circuit Elements Orla Feely -- 1. Introduction -- 2. Chua's Presentation of Lagrangian Circuit Elements -- 3. Summary -- References -- 4. From CNN Dynamics to Cellular Wave Computers Tamas Roska -- 1. Introduction -- 2. Using Cellular Dynamics and Nonlinear Dynamical Circuits for Computation - A Prehistory -- 3. The Standard CNN (Cellular Neural/Nonlinear Network) as the Practically Feasible Prototype Solution and Related Stability Issues -- 4. Inventing the Stored Programmable Spatial-temporal Computer: The CNN Universal Machine (CNN-UM) and the Cellular Wave Computer -- 5. Making the First Silicon Visual Microprocessors and its Computational Infrastructure - Other Physical Implementations -- 6. Biological Relevance and Bio-inspiration -- 7. Some Fundamental Theorems - More than PDE, Equivalence to Fully-connectedness, Analytic Theory of CA, Godel Incompleteness.
8. Prototype Spatial-temporal CNN Algorithms and Novel Applications -- 9. Physical and Virtual Cellular Machines with Kilo- and Mega-processor Chips and Related Topographic Algorithms -- 10. Conclusions and Major New Challenges -- Acknowledgment -- References -- 5. Contributions of CNN to Bio-robotics and Brain Science Paolo Arena and Luca Patane -- 1. Introduction -- 2. CNN-based CPGs for Locomotion Control in Bio-robots -- 2.1. Basis of locomotion -- 2.2. The CNN neuron model for CPG: a slow-fast controllable limit cycle -- 2.3. CPG in a reaction-diffusion CNN structure -- 2.4. CPG in amulti-template-CNN -- 3. A Brain for the Body:A CNN-based Spatio-temporal Approach -- 3.1. Control architecture -- 3.1.1. Sensory block -- 3.1.2. Basic behaviors -- 3.1.3. Representation layer -- 3.1.4. Preprocessing block -- 3.1.5. Perceptual core -- 3.1.6. Selection network -- 3.1.7. Motivation layer and learning process -- 3.2. Simulation results -- 3.2.1. Learning phase -- 3.2.2. Testing phase -- 3.2.3. Experimental results -- 4. A Note on Winnerless Competition in CNNs -- 5. Conclusions -- Acknowledgement -- Appendix: Hardware realization of a MTA CNN based locomotion controller -- MTA hexbot -- References -- 6. From Radio-amateurs' Electronics to Toroidal Chaos Otto E. Rossler and Christophe Letellier -- 1. Introduction -- 2. The van der Pol Equation -- 3. A Related Prototype -- 4. Conclusions -- References -- 7. Analyzing the Dynamics of Excitatory Neural Networks by Synaptic Cellular Automata V. Nekorkin, A. Dmitrichev, D. Kasatkin and V. Afraimovich -- 1. Introduction -- 2. The Model -- 2.1. The mechanism of formation of synaptic responses -- 2.2. Dynamics of a neuron under synaptic action -- 3. Notes on Construction of Synaptic Cellular Automaton -- 3.1. Definition of graph of connections -- 3.2. Introducing discrete states of a synapse.
3.3. Definition of CA rules -- 4. Analysis of Spatio-temporal Dynamics of the Network Based on CA Approach -- 5. Numerical Analysis of Spatio-temporal Dynamics of the Network -- 6. Conclusion -- Acknowledgments -- References -- 8. Dynamical Systems Perspective of Wolfram's Cellular Automata M. Courbage and B. Kaminski -- 1. Chua Odyssey Through Cellular Automata -- 2. Cellular Automata as Dynamical Systems -- 3. Instability, Invariant Measures and Entropy -- 4. Cellular Automata as Space-time Dynamical Systems -- References -- 9. The Genesis of Chua's Circuit: Connecting Science, Art and Creativity Francesca Bertacchini, Eleonora Bilotta, Giuseppe Laria and Pietro Pantano -- 1. Introduction -- 2. The Genesis of Chua's Circuit, the 3D Movie -- 3. The Gallery of Chua's Attractors -- 4. Art from Chua's Circuit -- 5. Chaos is Simple and Everybody can Understand It -- 6. Conclusions -- References -- 10. Nonlinear Electronics Laboratory (NOEL): A Reminiscence Chai Wah Wu -- 1. Prelude -- 2. NOEL -- 3. Hours of Operation -- 4. Research Directions -- 5. Fun and Games -- 6. Lasting Friendships -- 6.1. On a personal note -- 7. Impact of NOEL on My Development as a Scientist -- 7.1. Learning additional skills -- 8. Finally it isTime to Go -- Acknowledgments -- References -- 11. Bursting in Cellular Automata and Cardiac Arrhythmias Gil Bub, Alvin Shrier and Leon Glass -- 1. Introduction -- 2. Network Bursting in Cultured Cardiac Monolayers -- 3. Simulating Network Bursting with CAs -- 4. Bursting in a Greenberg-Hastings Model with Spontaneous Activity and Fatigue -- 5. Bursting in CAs with Heterogeneity in Cell Spacing -- 6. Network Bursting in CAs in the Absence of Reentry -- 7. Conclusions -- Acknowledgments -- References -- 12. Local Activity Principle: The Cause of Complexity and Symmetry Breaking Klaus Mainzer.
1. The Local Activity Principle and the Emergence of Complexity -- 1.1. The local activity principle in physical chemistry -- 1.2. The local activity principle in discrete dynamics -- 1.3. From discrete to continuous dynamics -- 2. The Local Activity Principle and Symmetry Breaking in the Universe -- 2.1. Mathematical definition of symmetry -- 2.2. Symmetries in the quantum world -- 2.3. Global and local symmetries -- 2.4. Local gauge symmetries and symmetry breaking -- 3. The Local Activity Principle and Symmetry Breaking in Economy and Society -- 3.1. The local activity principle and social self-organization -- 3.2. The local activity principle in innovation dynamics -- 3.3. The local activity principle in sociodynamics -- 3.4. The local activity principle in financial dynamics -- 3.5. The local activity principle and bounded rationality -- 4. What can We Learn from the Local Activity Principle of Complex Systems? -- References -- 13. Explorations in the Forest of Bifurcation Trees: Route from Chua's Circuit to Chua's Memristive Oscillator Lukasz Czerwinski and Maciej J. Ogorzalek -- 1. Introduction -- 2. Comparison of Circuit Equations -- 3. Bifurcation Analysis -- 3.1. Bifurcation trees for Chua's circuit and oscillator -- 3.2. Trajectories and bifurcations in Chua's memristive oscillators -- 3.3. Bifurcation diagrams -- 4. Conclusions -- References -- 14. Chua's Nonlinear Dynamics Perspective of Cellular Automata Giovanni E. Pazienza -- 1. Introduction -- 2. The Tiny Universe of Globally-independent Elementary CA Rules -- 2.1. Brief notes on elementary cellular automata -- 2.2. Global and quasi-globally equivalent rules -- 3. Local Dynamics of Elementary CA Cells -- 3.1. The discrete-time dynamics of single CA cell can be described by a continuous-time nonlinear dynamical system.
3.2. A rigorous definition of the complexity index of elementary CA rules -- 4. Global Dynamics of Elementary Cellular Automata -- 4.1. Periodic orbits: attractors and Isles of Eden -- 4.2. Classification of CA rules according to the robust periodic orbits -- 4.3. Classification of CA rules according to the non-robust periodic orbits -- 5. Nonlinear Dynamics in Elementary Cellular Automata -- 5.1. The states of elementary CA can be represented through rational numbers -- 5.2. Time-τ characteristic function, time-τ return plot, and cobweb diagrams -- 6. Final Comments on Chua's Original Contributions to the Study of Cellular Automata -- References -- 15. Application of CNN to Brainlike Computing Bertram E. Shi -- 1. Introduction -- 2. Energy Models of Visual Cortical Neurons -- 2.1. Retinal position, spatial frequency and orientation -- 2.2. Temporal frequency and direction of motion -- 2.3. Binocular disparity -- 3. CNN Architecture Modelling the Primary Visual Cortex -- 4. Summary -- References -- 16. Ideal Turbulence Phenomenon and Transmission Line with Chua's Diode E. Yu. Romanenko and A. N. Sharkovsky -- 1. Introduction -- 2. Concept of Ideal Turbulence -- 3. Transmission Line with Chua's Diode -- 3.1. Reducing to a difference equation -- 3.2. Managing map -- 3.3. Ideal turbulence from the lossless transmission line -- References -- 17. Chaos in Electronic Circuits: Chua's Contribution (1980-2000) Christophe Letellier -- 1. Introduction -- 2. Electronic Circuits as Dynamical Systems -- 2.1. The inverse problem of the dynamical system theory -- 2.2. Periodic and almost-periodic solutions -- 2.2.1. Early investigations of chaotic solutions -- 2.3. Relaxation oscillations -- 2.4. The simplest nonautonomous circuit -- 2.5. Devil staircase in an experimental van der Pol-like circuit -- 3. The Chua Circuit -- 3.1. Discovery.
3.2. The double scroll attractor.
Abstract:
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.
Local Note:
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2017. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
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