Local Activity Principle

Local Activity Principle
Author: Klaus Mainzer
Publisher: World Scientific
Total Pages: 456
Release: 2013
Genre: Mathematics
ISBN: 1908977108

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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
Language: en
Pages: 456
Authors: Klaus Mainzer
Categories: Mathematics
Type: BOOK - Published: 2013 - Publisher: World Scientific

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The principle of local activity explains the emergence of complex patterns in a homogeneous medium. At first defined in the theory of nonlinear electronic circu
Local Activity Principle: The Cause Of Complexity And Symmetry Breaking
Language: en
Pages: 456
Authors: Klaus Mainzer
Categories: Mathematics
Type: BOOK - Published: 2013-03-15 - Publisher: World Scientific

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The principle of local activity explains the emergence of complex patterns in a homogeneous medium. At first defined in the theory of nonlinear electronic circu
Chaos, Cnn, Memristors And Beyond: A Festschrift For Leon Chua (With Dvd-rom, Composed By Eleonora Bilotta)
Language: en
Pages: 562
Authors: Andrew Adamatzky
Categories: Mathematics
Type: BOOK - Published: 2013-01-02 - Publisher: World Scientific

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This invaluable book is a unique collection of tributes to outstanding discoveries pioneered by Leon Chua in nonlinear circuits, cellular neural networks, and c
How Nature Works
Language: en
Pages: 292
Authors: Ivan Zelinka
Categories: Technology & Engineering
Type: BOOK - Published: 2013-07-18 - Publisher: Springer Science & Business Media

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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 p
Complexity in Chemistry and Beyond: Interplay Theory and Experiment
Language: en
Pages: 247
Authors: Craig Hill
Categories: Science
Type: BOOK - Published: 2013-01-08 - Publisher: Springer

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Complexity occurs in biological and synthetic systems alike. This general phenomenon has been addressed in recent publications by investigators in disciplines r