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Chaos, Nonlinearity, Complexity

The Dynamical Paradigm of Nature

  • A.┬áSengupta

Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 206)

Table of contents

About this book

Introduction

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

Chaos Nonlinear Functional Analysis Nonlinearity complex system complex systems complexity dynamische Systeme linearity mechanics resonance statistics thermodynamics

Editors and affiliations

  • A.┬áSengupta
    • 1
  1. 1.Department of Mechanical EngineeringNuclear Engineering and Technology Programme Indian Institute of Technology KanpurKanpurIndia

Bibliographic information

  • DOI https://doi.org/10.1007/3-540-31757-0
  • Copyright Information Springer 2006
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering
  • Print ISBN 978-3-540-31756-2
  • Online ISBN 978-3-540-31757-9
  • Series Print ISSN 1434-9922
  • Series Online ISSN 1860-0808
  • Buy this book on publisher's site