Chaotic Hamiltonian systems: Survival probability
نویسندگان
چکیده
منابع مشابه
Chaotic and Arnold stripes in weakly chaotic Hamiltonian systems.
The dynamics in weakly chaotic Hamiltonian systems strongly depends on initial conditions (ICs) and little can be affirmed about generic behaviors. Using two distinct Hamiltonian systems, namely one particle in an open rectangular billiard and four particles globally coupled on a discrete lattice, we show that in these models, the transition from integrable motion to weak chaos emerges via chao...
متن کاملControlling chaotic transport in Hamiltonian systems
With the aid of an original reformulation of the KAM theory, it is shown that a relevant control of Hamiltonian chaos is possible through suitable small perturbations whose form can be explicitly computed. In particular, it is shown that it is possible to control (reduce) the chaotic diffusion in the phase space of a 1.5 degrees of freedom Hamiltonian which models the diffusion of charged test ...
متن کاملChaotic mixing in noisy Hamiltonian systems
This paper summarises an investigation of the effects of low amplitude noise and periodic driving on phase space transport in three-dimensional Hamiltonian systems, a problem directly applicable to systems like galaxies, where such perturbations reflect internal irregularities and/or a surrounding environment. A new diagnostic tool is exploited to quantify the extent to which, over long times, ...
متن کاملSynchronization of Chaotic Systems by the Generalized Hamiltonian Systems Approach
In this paper, the generalized Hamiltonian system approach was applied to the synchronization of chaotic systems. The synchronization is between the transmitter and the receiver dynamics. The synchronization of several chaotic systems is studied by the method, respectively. The numerical results are in very good agreement with the theoretical analysis.
متن کاملThe survival probability and the local density of states for one-dimensional Hamiltonian systems
For chaotic systems there is a theory for the decay of the survival probability, and for the parametric dependence of the local density of states. This theory leads to the distinction between ”perturbative” and ”non-perturbative” regimes, and to the observation that semiclassical tools are useful in the latter case. We discuss what is ”left” from this theory in the case of one-dimensional syste...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review E
سال: 2010
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.81.046211