Highlight: Local Activity Principle - The Cause of Complexity and Symmetry Breaking

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Local Activity Principle The Cause of Complexity and Symmetry Breaking by Klaus Mainzer (Technische Universität München, Germany) & Leon Chua (University of California, Berkeley, USA) Apply this discount code to enjoy 20% off Discount Code: WSMAR20 | till 20 March 2015 hardcover: US$148 / £98 / S$191 US$118.40 / £78.40 / S$152.80 ebook: US$111 / £73 / S$143 US$88.80 / £58.40 / S$114.40 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. FREE SAMPLE CHAPTER(S) Table of Contents (1,483 KB) Chapter 1: The Local Activity Principle and the Emergence of Complexity (762 KB) You may also be interested in: Asymptotic Perturbation Theory of Waves The (1+1)-Nonlinear Universe of the Parabolic Map and Combinatorics Complexity and Control  Towards a Rigorous Behavioral Theory of Complex Dynamical Systems The Nonlinear Workbook 6th Edition