Cover image for Chaos, Nonlinearity, Complexity The Dynamical Paradigm of Nature
Chaos, Nonlinearity, Complexity The Dynamical Paradigm of Nature
Title:
Chaos, Nonlinearity, Complexity The Dynamical Paradigm of Nature
Author:
Sengupta, A. editor.
ISBN:
9783540317579
Physical Description:
XIII, 358 p. online resource.
Series:
Studies in Fuzziness and Soft Computing, 206
Contents:
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.
Abstract:
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.
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