Strange nonchaotic attractors in random dynamical systems.
نویسندگان
چکیده
Whether strange nonchaotic attractors (SNAs) can occur typically in dynamical systems other than quasiperiodically driven systems has long been an open question. Here we show, based on a physical analysis and numerical evidence, that robust SNAs can be induced by small noise in autonomous discrete-time maps and in periodically driven continuous-time systems. These attractors, which are relevant to physical and biological applications, can thus be expected to occur more commonly in dynamical systems than previously thought.
منابع مشابه
Blowout Bifurcation Route to Strange Nonchaotic Attractors.
Strange nonchaotic attractors are attractors that are geometrically strange, but have nonpositive Lyapunov exponents. We show that for dynamical systems with an invariant subspace in which there is a quasiperiodic torus, the loss of the transverse stability of the torus can lead to the birth of a strange nonchaotic attractor. A physical phenomenon accompanying this route to strange nonchaotic a...
متن کاملStrange Nonchaotic attractors from periodically excited Chua's Circuit
Strange nonchaotic attractor refers to an attractor which is geometrically strange (fractal) but nonchaotic (i.e. typical orbits have nonpositive Lyapunov exponents). Since the pioneering work of Grebogi et al. [1984], much research has been carried out to show the existence, characterization and mechanisms for the creation of attractors in quasiperiodically excited systems [Romeiras & Ott, 198...
متن کاملA Plethora of Strange Nonchaotic Attractors
We show that it is possible to devise a large class of skew–product dynamical systems which have strange nonchaotic attractors (SNAs): the dynamics is asymptotically on fractal attractors and the largest Lyapunov exponent is nonpositive. Furthermore, we show that quasiperiodic forcing, which has been a hallmark of essentially all hitherto known examples of such dynamics is not necessary for the...
متن کاملStrange Nonchaotic attractors
Aperiodic dynamics which is nonchaotic is realized on Strange Nonchaotic attractors (SNAs). Such attractors are generic in quasiperiodically driven nonlinear systems, and like strange attractors, are geometrically fractal. The largest Lyapunov exponent is zero or negative: trajectories do not show exponential sensitivity to initial conditions. In recent years, SNAs have been seen in a number of...
متن کاملCharacterization of noise-induced strange nonchaotic attractors.
Strange nonchaotic attractors (SNAs) were previously thought to arise exclusively in quasiperiodic dynamical systems. A recent study has revealed, however, that such attractors can be induced by noise in nonquasiperiodic discrete-time maps or in periodically driven flows. In particular, in a periodic window of such a system where a periodic attractor coexists with a chaotic saddle (nonattractin...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- Physical review letters
دوره 92 7 شماره
صفحات -
تاریخ انتشار 2004