Local Activity Principle

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Release : 2013
Genre : Mathematics
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Book Rating : 108/5 ( reviews)

Local Activity Principle - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Local Activity Principle write by Klaus Mainzer. This book was released on 2013. Local Activity Principle available in PDF, EPUB and Kindle. 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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Release : 2013-03-15
Genre : Mathematics
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Book Rating : 116/5 ( reviews)

Local Activity Principle: The Cause Of Complexity And Symmetry Breaking - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Local Activity Principle: The Cause Of Complexity And Symmetry Breaking write by Klaus Mainzer. This book was released on 2013-03-15. Local Activity Principle: The Cause Of Complexity And Symmetry Breaking available in PDF, EPUB and Kindle. 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)

Download Chaos, Cnn, Memristors And Beyond: A Festschrift For Leon Chua (With Dvd-rom, Composed By Eleonora Bilotta) PDF Online Free

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Release : 2013-01-02
Genre : Mathematics
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Book Rating : 817/5 ( reviews)

Chaos, Cnn, Memristors And Beyond: A Festschrift For Leon Chua (With Dvd-rom, Composed By Eleonora Bilotta) - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Chaos, Cnn, Memristors And Beyond: A Festschrift For Leon Chua (With Dvd-rom, Composed By Eleonora Bilotta) write by Andrew Adamatzky. This book was released on 2013-01-02. Chaos, Cnn, Memristors And Beyond: A Festschrift For Leon Chua (With Dvd-rom, Composed By Eleonora Bilotta) available in PDF, EPUB and Kindle. 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.

How Nature Works

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Release : 2013-07-18
Genre : Technology & Engineering
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Book Rating : 546/5 ( reviews)

How Nature Works - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook How Nature Works write by Ivan Zelinka. This book was released on 2013-07-18. How Nature Works available in PDF, EPUB and Kindle. 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.

Complexity in Chemistry and Beyond: Interplay Theory and Experiment

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Release : 2013-01-08
Genre : Science
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Book Rating : 481/5 ( reviews)

Complexity in Chemistry and Beyond: Interplay Theory and Experiment - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Complexity in Chemistry and Beyond: Interplay Theory and Experiment write by Craig Hill. This book was released on 2013-01-08. Complexity in Chemistry and Beyond: Interplay Theory and Experiment available in PDF, EPUB and Kindle. Complexity occurs in biological and synthetic systems alike. This general phenomenon has been addressed in recent publications by investigators in disciplines ranging from chemistry and biology to psychology and philosophy. Studies of complexity for molecular scientists have focussed on breaking symmetry, dissipative processes, and emergence. Investigators in the social and medical sciences have focused on neurophenomenology, cognitive approaches and self-consciousness. Complexity in both structure and function is inherent in many scientific disciplines of current significance and also in technologies of current importance that are rapidly evolving to address global societal needs. Several of these multifaceted scientific disciplines are addressed in this book including complexity from the general and philosophical perspective, magnetic phenomena, control of self assembly and function in large multicomponent clusters, application of theory to probe structure and mechanism in highly complex molecular species, and the design of multifunctional nanoscale molecules of value in decontamination and solar fuels research. Each chapter is both a review and addresses some ongoing challenges, thus each should provide a good preparation for further work in these highly active areas of research endeavour.