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Chaos, Nonlinearity, Complexity [electronic resource] :The Dynamical Paradigm of Nature / edited by A. Sengupta.

by Sengupta, A [editor.]; SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Studies in Fuzziness and Soft Computing: 206Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2006.Description: XVI, 358 p. Also available online. online resource.ISBN: 9783540317579.Subject(s): Engineering | Artificial intelligence | Mathematics | Physics | Engineering mathematics | Vibration | Engineering | Appl.Mathematics/Computational Methods of Engineering | Complexity | Artificial Intelligence (incl. Robotics) | Applications of Mathematics | Vibration, Dynamical Systems, ControlDDC classification: 519 Online resources: Click here to access online
Contents:
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.
In: Springer eBooksSummary: 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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TA640-643 (Browse shelf) Available
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TA329-348 (Browse shelf) Available

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.

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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