Complex Nonlinearity : Chaos, Phase Transitions, Topology Change and Path Integrals. 1st ed. 2008

種類:

電子ブック

責任表示:

by Vladimir G. Ivancevic, Tijana T. Ivancevic

出版情報:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2008

著者名:

• Ivancevic, Vladimir G.
• Ivancevic, Tijana T.
• SpringerLink (Online service)

シリーズ名:

Understanding Complex Systems ;

ISBN:

9783540793571 [3540793577]    

注記:

Basics of Nonlinear and Chaotic Dynamics -- Phase Transitions and Synergetics -- Geometry and Topology Change in Complex Systems -- Nonlinear Dynamics of Path Integrals -- Complex Nonlinearity: Combining It All Together.
Complex Nonlinearity: Chaos, Phase Transitions, Topology Change and Path Integrals is a book about prediction & control of general nonlinear and chaotic dynamics of high-dimensional complex systems of various physical and non-physical nature and their underpinning geometro-topological change. The book starts with a textbook-like expose on nonlinear dynamics, attractors and chaos, both temporal and spatio-temporal, including modern techniques of chaos–control. Chapter 2 turns to the edge of chaos, in the form of phase transitions (equilibrium and non-equilibrium, oscillatory, fractal and noise-induced), as well as the related field of synergetics. While the natural stage for linear dynamics comprises of flat, Euclidean geometry (with the corresponding calculation tools from linear algebra and analysis), the natural stage for nonlinear dynamics is curved, Riemannian geometry (with the corresponding tools from nonlinear, tensor algebra and analysis). The extreme nonlinearity – chaos – corresponds to the topology

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