Complex nonlinearity: chaos, phase transitions, topology change and path integrals

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 (equilibriumand 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). Complete treatment of the tools of complexity Includes a comprehensive bibliography on the subject and a detailed index Enables thereader to perform a competitive research in modern complex nonlinearity INDICE: 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.

• ISBN: 978-3-540-79356-4
• Editorial: Springer
• Encuadernacion: Cartoné
• Páginas: 845
• Fecha Publicación: 01/06/2008
• Nº Volúmenes: 1
• Idioma: Inglés