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This book arose from a conference organized under the auspices of the Australian Research Council's Complex Open Systems Research Network (which has become the most prominent for complex systems in the world just Google "complex systems network"), the ANU Centre for Complex Systems, and the Asia-Pacific Center for Theoretical Physics. The book is unique in the scope of its coverage of applications of complex systems science: Extraterrestrial astrophysical, solar and space plasmas; Earth System climate, ecosystems; Human systems brain dynamics, social networks, financial statistics, advanced technologies. It also presents up-to-date discussions of new theoretical approaches, in particular those based on entropy and entropy production maximization, a field still under development but with much promise for providing a much-needed unifying principle for complex systems science. The authors are at the forefront of their fields, and organized their chapters to effectively bring out common features of complex systems. A comprehensive and common lexicon of keywords has been used to unify indexing, thus making the book an invaluable introduction to anyone seeking an overview of complex systems science.
List of contents
Introduction to Complex Systems and Econophysics; Maximum Entropy and Maximum Entropy Production Principles and Their Application to Physics and Biology; Jaynes' MaxEnt, Riemannian Metrics and the Principle of Least Action; Fusion, Space and Solar Plasmas as Complex Systems; Inverse Problems in Earth Systems Science; Brain Dynamics; Complexity, Post-Genomic Biology and Gene Expression Programs; Fractional Diffusion - Theory and Applications; Applied Chaotic Advection; Bayesian Data Analysis; Software Tools for Analysis and Modelling of Complex Systems.