Short-time Loschmidt gap in dynamical systems with critical chaos
نویسندگان
چکیده
منابع مشابه
Short-time Loschmidt gap in dynamical systems with critical chaos.
We study the Loschmidt echo F(t) for a class of dynamical systems showing critical chaos. Using a kicked rotor with singular potential as a prototype model, we found that the classical echo shows a gap (initial drop) 1-F_{g} , where F_{g} scales as F_{g}(alpha,,eta)=f_{cl}(chi_{cl} identical witheta;{3-alpha}/) ; alpha is the order of singularity of the potential, eta is the spread of the initi...
متن کاملChaos in Random Dynamical Systems
In the investigations of chaos in dynamical systems a major role is played by symbolic dynamics, i.e. the description of the system by a shift on a symbol space via conjugation. We examine whether any kind of noise can strengthen the stochastic behaviour of chaotic systems dramatically and what the consequences for the symbolic description are. This leads to the introduction of random subshifts...
متن کاملBifurcations and Chaos in Time Delayed Piecewise Linear Dynamical Systems
We reinvestigate the dynamical behavior of a first order scalar nonlinear delay differential equation with piecewise linearity and identify several interesting features in the nature of bifurcations and chaos associated with it as a function of the delay time and external forcing parameters. In particular, we point out that the fixed point solution exhibits a stability island in the two paramet...
متن کاملTransition to chaos in continuous-time random dynamical systems.
We consider situations where, in a continuous-time dynamical system, a nonchaotic attractor coexists with a nonattracting chaotic saddle, as in a periodic window. Under the influence of noise, chaos can arise. We investigate the fundamental dynamical mechanism responsible for the transition and obtain a general scaling law for the largest Lyapunov exponent. A striking finding is that the topolo...
متن کاملDynamical Systems and Chaos
These are some notes related to the one-semester course Math 5535 Dynamical Systems and Chaos given at the University of Minnesota during Fall 2012 with an emphasis to the study of continuous and discrete dynamical systems of dimension one and two. An ambitious list of topics to be covered include phase portraits, fixed points, stability, bifurcations, limit sets, periodic orbit, Poincaré map a...
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: 2009
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.79.050107