Chaotic Dynamics and Transport in Classical and Quantum Systems: Proceedings of the NATO Advanced Study Institute on International Summer School on Chaotic Dynamics and Transport in Classical and Quantum Systems, Cargèse, Corsica, 18 - 30 August 2003. (Google eBook)
Springer, Mar 30, 2006 - Chaotic behavior in systems - 469 pages
This book offers a modern updated review on the most important activities in today dynamical systems and statistical mechanics by some of the best experts in the domain. It gives a contemporary and pedagogical view on theories of classical and quantum chaos and complexity in hamiltonian and ergodic systems and their applications to anomalous transport in fluids, plasmas, oceans and atom-optic devices and to control of chaotic transport. The book is issued from lecture notes of the International Summer School on 'Chaotic Dynamics and Transport in Classical and Quantum Systems' held in Cargèse (Corsica) 18th to the 30th August 2003. It reflects the spirit of the School to provide lectures at the post-doctoral level on basic concepts and tools. The first part concerns ergodicity and mixing, complexity and entropy functions, SRB measures, fractal dimensions and bifurcations in hamiltonian systems. Then, models of dynamical evolutions of transport processes in classical and quantum systems have been largely explained. The second part concerns transport in fluids, plasmas and reacting media. On the other hand, new experiments of cold optically trapped atoms and electrodynamics cavity have been thoroughly presented. Finally, several papers bear on synchronism and control of chaos. The target audience of the proceedings are physicists, mathematicians and all scientists involved in Chaos and Dynamical Systems Theory and their fundamental applications in Physics and in the Science of Complex and Nonlinear phenomena.
What people are saying - Write a review
We haven't found any reviews in the usual places.
advection anomalous diﬀusion Anosov maps asymptotic atoms attractor behavior bifurcation billiard cavity chaos Chaotic Dynamics circle classical coeﬃcient coherent complexity consider correlation corresponding curve decay decoherence deﬁned deﬁnition denote density diﬀerent dimensional distribution dynamical systems eﬀect energy surface ergodic Ergodic Theory evolution exponential ﬁgure ﬁnd ﬁnite ﬁrst ﬂow ﬂuctuations ﬂuid Fomenko graphs fractal function Gaspard given Hamiltonian systems hyperbolic inﬁnite initial conditions integrable invariant island Kolmogorov-Sinai entropy laser cooling Lett Lyapunov exponent Math measure mode momentum motion nonlinear obtained open quantum system orbits oscillator parameter particles perturbation phase space photon Phys Physics Pollicott-Ruelle resonances potential properties quantum system random walk Rossby wave scale Schr¨odinger equation simulations singular spectrum stable sticky stochastic theorem theory time-reversal topological topological entropy tracer trajectories trap unstable manifolds values velocity ﬁeld vortices wave zero