Book Details

Chaos, Nonlinearity, Complexity

Publication year: 2006

: 978-3-540-31757-9

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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.


: Engineering, Chaos, Nonlinear Functional Analysis, Nonlinearity, complex system, complex systems, complexity, dynamische Systeme, linearity, mechanics, resonance, statistics, thermodynamics