Complex Hamiltonian Dynamics

• Main Authors: Bountis, Tassos (Author), Skokos, Haris (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012.
• Series: Springer Series in Synergetics, 10
• Subjects: Physics.; Information theory.; Mechanics.; Statistical physics.; Dynamical systems.; Complexity, Computational.; Statistical Physics, Dynamical Systems and Complexity.; Complexity.; Information and Communication, Circuits.; Mathematical Methods in Physics.

This book introduces and explores modern developments in the well established field of Hamiltonian dynamical systems. It focuses on high degree-of-freedom systems and the transitional regimes between regular and chaotic motion. The role of nonlinear normal modes is highlighted and the importance of...

Table of Contents:

• Hamiltonian Systems of Few Degrees of Freedom
• Equilibrium Points, Periodic Orbits and Local Stability
• Efficient Indicators of Stable and Chaotic Motion
• FPU Recurrences and the Transition from Weak to Strong Chaos
• Localization and Diffusion in Nonlinear 1-Dimensional Lattices
• The Statistical Mechanics of Quasi-Stationary States
• Conclusion, Open Problems and Future Outlook.