Hamiltonian Chaos and Fractional Dynamics

TRAMA

The dynamics of realistic Hamiltonian systems has unusual microscopic features that are direct consequences of its fractional space-time structure and its phase space topology. The book deals with the fractality of the chaotic dynamics and kinetics, and also includes material on non-ergodic<BR>and non-well-mixing Hamiltonian dynamics. The book does not follow the traditional scheme of most of today's literature on chaos. The intention of the author has been to put together some of the most complex and yet open problems on the general theory of chaotic systems. The importance of the<BR>discussed issues and an understanding of their origin should inspire students and researchers to touch upon some of the deepest aspects of nonlinear dynamics. The book considers the basic principles of the Hamiltonian theory of chaos and some applications including for example, the cooling of<BR>particles and signals, control and erasing of chaos, polynomial complexity, Maxwell's Demon, and others. It presents a new and realistic image of the origin of dynamical chaos and randomness. An understanding of the origin of the randomness in dynamical systems, which cannot be of the same origin<BR>as chaos, provides new insights in the diverse fields of physics, biology, chemistry and engineering.

SOMMARIO

1 - Hamiltonian dynamics2 - Examples of Hamiltonian dynamics3 - Perturbed dynamics4 - Chaotic dynamics5 - Physical models of chaos6 - Separatrix chaos7 - Chaos and symmetry8 - Beyond the KAM-theory9 - Phase space of chaos10 - Fractals and chaos11 - Poincaré recurrences12 - Dynamical traps13 - Fractal time14 - General principles of kinetics15 - Lévy processes and lévy flights16 - Fractional kinetic equation (FKE)17 - Renormalization group of kinetics (RGK)18 - Fractional kinetics equation solutions and modifications19 - Pseudochaos20 - Complexity and entropy of dynamics21 - Complexity and entropy functions22 - Chaos and foundation of statistical mechanics23 - Chaotic advection (dynamics of tracers)24 - Advection by point vortices25 - Appendix 126 - Appendix 227 - Appendix 328 - Appendix 429 - Notes30 - Problems

AUTORE

George M. Zaslavksy is Professor of Physics and Mathematics at New York University, USA.

ALTRE INFORMAZIONI

• Condizione: Nuovo
• ISBN: 9780198526049
• Dimensioni: 241 x 29.0 x 163 mm Ø 918 gr
• Formato: Copertina rigida
• Illustration Notes: numerous figures & halftones
• Pagine Arabe: 436