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Chaos, Nonlinearity, Complexity

The Dynamical Paradigm of Nature

  • Book
  • © 2006

Overview

Editors:
  1. A. Sengupta

    1. Department of Mechanical Engineering, Nuclear Engineering and Technology Programme Indian Institute of Technology Kanpur, Kanpur, India

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  • Carefully edited and selected outcome of the international workshop IIT held in Kanpur, India March 2004 featuring a focused debate on the mathematics and physics of Chaos, complexity and the Nonlinear Dynamics of Nature
  • Presents an overview of the strong nonlinearity of chaos and complexity in natural systems
  • Motivates teaching and research of nonlinear sciences in educational and research institutions
  • Includes supplementary material: sn.pub/extras

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

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Table of contents (10 chapters)

  1. Front Matter

    Pages I-XVI
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  2. Chaos, Periodicity and Complexity on Dynamical Systems

    • Francisco Balibrea
    Pages 1-52

  3. Foundations of Nonextensive Statistical Mechanics

    • Sumiyoshi Abe
    Pages 53-71

  4. Critical Attractors and the Physical Realm of q-statistics

    • A. Robledo
    Pages 72-113

  5. Non-Boltzmannian Entropies for Complex Classical Systems, Quantum Coherent States and Black Holes

    • A. G. Bashkirov
    Pages 114-161

  6. Power Law and Tsallis Entropy: Network Traffic and Applications

    • Karmeshu, Shachi Sharma
    Pages 162-178

  7. The Role of Chaos and Resonances in Brownian Motion

    • John Realpe, Gonzalo Ordonez
    Pages 179-206

  8. Models of Finite Bath and Generalised Thermodynamics

    • Ramandeep S. Johal
    Pages 207-217

  9. Quantum Black Hole Thermodynamics

    • Parthasarathi Majumdar
    Pages 218-246

  10. Complexity in Organizations: A Paradigm Shift

    • Russ Marion
    Pages 247-269

  11. Chaos, Nonlinearity, Complexity: A Unified Perspective

    • A. Sengupta
    Pages 270-352

  12. Back Matter

    Pages 353-358
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About this book

I think the next century will be the century of complexity. We have already discovered the basic laws that govern matter and understand all the normal situations. We don’t know how the laws ?t together, and what happens under extreme conditions. But I expect we will ?nd a complete uni?ed theory sometime this century. There is no limit to the complexity that we can build using those basic laws. Stephen Hawking, January 2000. We don’t know what we are talking about. Many of us believed that string theory was a very dramatic break with our previous notions of quantum theory. But now we learn that string theory, well, is not that much of a break. The state of physics today is like it was when we were mysti?ed by radioactivity. They were missing something absolutely fundamental. We are missing perhaps something as profound as they were back then. Nobel Laureate David Gross, December 2005. This volume is essentially a compilation of papers presented at the Int- national Workshop on Mathematics and Physics of Complex and Nonlinear Systems that was held at Indian Institute of Technology Kanpur, March 14 – 26, 2004 on the theme ChaNoXity: The Nonlinear Dynamics of Nature.

Editors and Affiliations

  • Department of Mechanical Engineering, Nuclear Engineering and Technology Programme Indian Institute of Technology Kanpur, Kanpur, India

    A. Sengupta

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