Chaos, Nonlinearity, Complexity The Dynamical Paradigm of Nature /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Sengupta, A. (Editor)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2006.
• Series: Studies in Fuzziness and Soft Computing, 206
• Subjects: Computer science.; Computers.; Artificial intelligence.; Applied mathematics.; Engineering mathematics.; Statistical physics.; Dynamical systems.; Vibration.; Dynamics.; Computer Science.; Theory of Computation.; Appl.Mathematics/Computational Methods of Engineering.; Statistical Physics, Dynamical Systems and Complexity.; Artificial Intelligence (incl. Robotics).; Applications of Mathematics.; Vibration, Dynamical Systems, Control.
• Physical Description: XIII, 358 p. online resource.
• ISBN: 9783540317579
• ISSN: 1434-9922 ;

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.