Chaos, Nonlinearity, Complexity: The Dynamical Paradigm of Nature

ISBN-13: 9783540317562 / Angielski / Twarda / 2006 / 358 str.

A. Sengupta; Ashok Sengupta; M. Zuhair Nashed

Opis

This book explores non-extensive statistical mechanics in non-equilibrium thermodynamics, and presents an overview of the strong nonlinearity of chaos and complexity in natural systems, drawing on relevant mathematics from topology, measure-theory, inverse and ill-posed problems, set-valued analysis, and nonlinear functional analysis. It offers a self-contained 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.

Spis treści

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.

Blurb

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.