Chaos, Nonlinearity, Complexity : The Dynamical Paradigm of Nature

Chaos, Nonlinearity, Complexity : The Dynamical Paradigm of Nature

Author
A. Sengupta
Publication Year
2006
Publisher
Springer
Language
English
Document Type
Book
Faculty / Subject Heading
Engineering

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.


Keywords: Engineering / Chaos / Nonlinear Functional Analysis / Nonlinearity / Complex system / Complex systems / Complexity / Dynamische Systeme / Linearity / Mechanics / Resonance / Statistics / Thermodynamics