Ebook: Chaos, Nonlinearity, Complexity: The Dynamical Paradigm of Nature
Author: A. Sengupta (editor)
- Genre: Physics // Mechanics: Nonlinear dynamics and chaos
- Tags: Appl.Mathematics/Computational Methods of Engineering, Complexity, Artificial Intelligence (incl. Robotics), Applications of Mathematics, Vibration Dynamical Systems Control
- Series: Studies in Fuzziness and Soft Computing 206
- Year: 2006
- Publisher: Springer
- City: Berlin; New York
- Edition: 1
- Language: English
- pdf
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.
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.