Chaos, Nonlinearity, Complexity

The Dynamical Paradigm of Nature
2006
ISBN: 978-3-540-31756-2
Verlag: Springer Berlin Heidelberg

Buch, Englisch, Band 206, 358 Seiten, HC runder Rücken kaschiert, Format (B × H): 160 mm x 241 mm, Gewicht: 1550 g

Reihe: Studies in Fuzziness and Soft Computing

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.

Zielgruppe

Research

Autoren/Hrsg.

Sengupta, Ashok

Fachgebiete

• Mathematik | Informatik EDV | Informatik Professionelle Anwendung Computer-Aided Design (CAD)
• Mathematik | Informatik EDV | Informatik Angewandte Informatik Computeranwendungen in Wissenschaft & Technologie
• Technische Wissenschaften Technik Allgemein Computeranwendungen in der Technik
• Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Technische Wissenschaften Elektronik | Nachrichtentechnik Elektronik Robotik
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Statik, Dynamik, Kinetik, Kinematik
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
• Mathematik | Informatik EDV | Informatik Informatik Künstliche Intelligenz Wissensbasierte Systeme, Expertensysteme

Inhaltsverzeichnis

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.