ENGLISH

Chaos, Nonlinearity, Complexity: The Dynamical Paradigm of Nature

By Francisco Balibrea (auth.) , A. Sengupta Professor (eds.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2006
ISBN
978-3-540-31756-2, 978-3-540-31757-9
DOI
10.1007/3-540-31757-0
Language
english
Format
PDF
Filesize
21 MB (22198188 bytes)
Series
Studies in Fuzziness and Soft Computing 206
Edition
1
Pages
358\371
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Appl.Mathematics/Computational Methods of EngineerControlDynamical Systems

Description

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.

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