Chaos, Nonlinearity, Complexity: The Dynamical Paradigm of Nature

✍ Scribed by Francisco Balibrea (auth.), A. Sengupta Professor (eds.)

• Book ID: 127429906
• Publisher: Springer
• Year: 2006
• Tongue: English
• Weight: 7 MB
• Edition: 1
• Category: Library
• City: Berlin; New York
• ISBN: 3540317570
• ISSN: 1860-0808
• DOI: 10.1007/978-3-540-31757-9

✦ Synopsis

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.

✦ Subjects

Vibration, Dynamical Systems, Control