Chaos, Nonlinearity, Complexity [electronic resource] : The Dynamical Paradigm of Nature / edited by A. Sengupta.Material type: TextLanguage: English Series: Studies in Fuzziness and Soft Computing: 206Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2006Description: XVI, 342 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540317579Subject(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, ControlAdditional physical formats: Printed edition:: No titleDDC classification: 519 LOC classification: TA329-348TA640-643Online resources: Click here to access online
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.