Chaos, Periodicity and Complexity on Dynamical Systems -- Foundations of Nonextensive Statistical Mechanics -- Critical Attractors and the Physical Realm of q-statistics -- Non-Boltzmannian Entropies for Complex Classical Systems, Quantum Coherent States and Black Holes -- Power Law and Tsallis Entropy: Network Traffic and Applications -- The Role of Chaos and Resonances in Brownian Motion -- Models of Finite Bath and Generalised Thermodynamics -- Quantum Black Hole Thermodynamics -- Complexity in Organizations: A Paradigm Shift -- Chaos, Nonlinearity, Complexity: A Unified Perspective
Summary
This carefully edited book presents a focused debate on the mathematics and physics of chaos, nonlinearity and complexity in nature. It explores the role of non-extensive statistical mechanics in non-equilibrium thermodynamics, and presents an overview of the strong nonlinearity of chaos and complexity in natural systems that draws on the relevant mathematics from topology, measure-theory, inverse and ill-posed problems, set-valued analysis, and nonlinear functional analysis. It presents a self-contained scientific theory of complexity and complex systems as the steady state of non-equilibrium systems, denoting a homeostatic dynamic equilibrium between stabilizing order and destabilizing disorder
