Local Activity Principle
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Local Activity Principle
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Author : Klaus Mainzer
language : en
Publisher: World Scientific
Release Date : 2013
Local Activity Principle written by Klaus Mainzer and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Mathematics categories.
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.
Local Activity Principle The Cause Of Complexity And Symmetry Breaking
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Author : Klaus Mainzer
language : en
Publisher: World Scientific
Release Date : 2013-03-15
Local Activity Principle The Cause Of Complexity And Symmetry Breaking written by Klaus Mainzer and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-15 with Mathematics categories.
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 reaction-diffusion 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./a
Chaos Cnn Memristors And Beyond A Festschrift For Leon Chua With Dvd Rom Composed By Eleonora Bilotta
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Author : Andrew Adamatzky
language : en
Publisher: World Scientific
Release Date : 2013-01-02
Chaos Cnn Memristors And Beyond A Festschrift For Leon Chua With Dvd Rom Composed By Eleonora Bilotta written by Andrew Adamatzky and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-02 with Mathematics categories.
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.
Selected Topics In Intelligent Chips With Emerging Devices Circuits And Systems
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Author : Alex James
language : en
Publisher: CRC Press
Release Date : 2023-04-03
Selected Topics In Intelligent Chips With Emerging Devices Circuits And Systems written by Alex James and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-03 with Technology & Engineering categories.
Memristors have provided a new direction of thinking for circuit designers to overcome the limits of scalability and for thinking of building systems beyond Moore’s law. Over the last decade, there has been a significant number of innovations in using memristors for building neural networks through analog computing, in-memory computing, and stochastic computing approaches. The emergence of intelligent integrated circuits is inevitable for the future of integrated circuit applications. This book provides a collection of talks conducted as part of the IEEE Seasonal School on Circuits and System, having a focus on Intelligence in Chip: Tomorrow of Integrated Circuits. Technical topics discussed in the book include: Edge of Chaos Theory Explains Complex Phenomena in Memristor Circuits Analog Memristive Computing Designing energy efficient neo-cortex system with on-device learning Integrated sensors Challenges and recent advances in NVM based Neuromorphic Computing ICs In-memory Computing (for deep learning) Deep learning with Spiking Neural Networks Computational Intelligence for Designing Integrated Circuits and Systems Neurochip Design, Modeling, and Applications
Digital And The Real World The Computational Foundations Of Mathematics Science Technology And Philosophy
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Author : Klaus Mainzer
language : en
Publisher: World Scientific
Release Date : 2017-11-17
Digital And The Real World The Computational Foundations Of Mathematics Science Technology And Philosophy written by Klaus Mainzer and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-17 with Mathematics categories.
In the 21st century, digitalization is a global challenge of mankind. Even for the public, it is obvious that our world is increasingly dominated by powerful algorithms and big data. But, how computable is our world? Some people believe that successful problem solving in science, technology, and economies only depends on fast algorithms and data mining. Chances and risks are often not understood, because the foundations of algorithms and information systems are not studied rigorously. Actually, they are deeply rooted in logics, mathematics, computer science and philosophy.Therefore, this book studies the foundations of mathematics, computer science, and philosophy, in order to guarantee security and reliability of the knowledge by constructive proofs, proof mining and program extraction. We start with the basics of computability theory, proof theory, and information theory. In a second step, we introduce new concepts of information and computing systems, in order to overcome the gap between the digital world of logical programming and the analog world of real computing in mathematics and science. The book also considers consequences for digital and analog physics, computational neuroscience, financial mathematics, and the Internet of Things (IoT).
How Nature Works
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Author : Ivan Zelinka
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-07-18
How Nature Works written by Ivan Zelinka and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-18 with Technology & Engineering categories.
This book is based on the outcome of the “2012 Interdisciplinary Symposium on Complex Systems” held at the island of Kos. The book consists of 12 selected papers of the symposium starting with a comprehensive overview and classification of complexity problems, continuing by chapters about complexity, its observation, modeling and its applications to solving various problems including real-life applications. More exactly, readers will have an encounter with the structural complexity of vortex flows, the use of chaotic dynamics within evolutionary algorithms, complexity in synthetic biology, types of complexity hidden inside evolutionary dynamics and possible controlling methods, complexity of rugged landscapes, and more. All selected papers represent innovative ideas, philosophical overviews and state-of-the-art discussions on aspects of complexity. The book will be useful as instructional material for senior undergraduate and entry-level graduate students in computer science, physics, applied mathematics and engineering-type work in the area of complexity. The book will also be valuable as a resource of knowledge for practitioners who want to apply complexity to solve real-life problems in their own challenging applications. The authors and editors hope that readers will be inspired to do their own experiments and simulations, based on information reported in this book, thereby moving beyond the scope of the book.
Artificial Intelligence Of Neuromorphic Systems From Digital Analogue Quantum And Brain Oriented Computing To Hybrid Ai
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Author : Klaus Mainzer
language : en
Publisher: World Scientific
Release Date : 2024-11-15
Artificial Intelligence Of Neuromorphic Systems From Digital Analogue Quantum And Brain Oriented Computing To Hybrid Ai written by Klaus Mainzer and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-15 with Mathematics categories.
This book argues for neuromorphic systems as a technology of the future, which are oriented towards the energy efficiency of natural brains. Energy efficiency is a dramatic claim in times of environmental and climate challenges which should consider the sustainability goals of the United Nations (UN). Mathematically, neuromorphic computing is connected to analogue ('real') computing, which theoretically overcomes the limits of digital Turing computability. Therefore, the book also considers material sciences and engineering sciences which start to realize neuromorphic computing in hardware. Other mathematical formalisms such as quantum mechanics also open up new solutions (e.g., quantum computing) beyond the limits of digital Turing computability. These research fields are no longer merely of theoretical interest, they promise increasing innovation power of market interest. Nevertheless, neuromorphic computing is connected with deep logical, mathematical, and epistemic questions. Does it open new avenues to Artificial General Intelligence (AGI)? All these tendencies of research and innovation demonstrate that we need more integrated research in the foundations of logic, mathematics, physics, engineering sciences, cognitive science, and philosophy. The book is a plea for this kind of research.
Memristors
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Author : Alex James
language : en
Publisher: BoD – Books on Demand
Release Date : 2020-05-27
Memristors written by Alex James and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-27 with Technology & Engineering categories.
This Edited Volume Memristors - Circuits and Applications of Memristor Devices is a collection of reviewed and relevant research chapters, offering a comprehensive overview of recent developments in the field of Engineering. The book comprises single chapters authored by various researchers and edited by an expert active in the physical sciences, engineering, and technology research areas. All chapters are complete in itself but united under a common research study topic. This publication aims at providing a thorough overview of the latest research efforts by international authors on physical sciences, engineering, and technology,and open new possible research paths for further novel developments.
The Constitution Of The United States Of America
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Author : Mark Tushnet
language : en
Publisher: Bloomsbury Publishing
Release Date : 2008-12-18
The Constitution Of The United States Of America written by Mark Tushnet and has been published by Bloomsbury Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-18 with Law categories.
This book provides a critical introduction to the history and current meaning of the United States' Constitution. It is organised around two themes: Firstly, the US Constitution is old, short, and difficult to amend. These characteristics have made constitutional 'interpretation', especially by the US Supreme Court, the primary mechanism for adapting the Constitution to ever-changing reality. Secondly, the Constitution creates a structure of political opportunities that allows political actors, including political parties, to pursue the preferred policy goals even to the point of altering the very structure of politics. Politics, that is, often gives meaning to the Constitution. Deploying these themes to examine the structure of the national government, federalism, judicial review, and individual rights, the book provides basic information about, and deeper insights into, the way the US constitutional system has developed and what it means today.
Sustainable Tourism And Natural World Heritage Priorities For Action
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Author :
language : en
Publisher: IUCN
Release Date :
Sustainable Tourism And Natural World Heritage Priorities For Action written by and has been published by IUCN this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.