Can Strange Nonchaotic Dynamics be induced through Stochastic Driving?
| dc.creator | Prasad, Awadhesh | |
| dc.creator | Ramaswamy, Ramakrishna | |
| dc.date | 1999-10-29 | |
| dc.date.accessioned | 2026-07-07T02:36:02Z | |
| dc.date.available | 2026-07-07T02:36:02Z | |
| dc.description | Upon addition of noise, chaotic motion in low-dimensional dynamical systems can sometimes be transformed into nonchaotic dynamics: namely, the largest Lyapunov exponent can be made nonpositive. We study this phenomenon in model systems with a view to understanding the circumstances when such behaviour is possible. This technique for inducing ``order'' through stochastic driving works by modifying the invariant measure on the attractor: by appropriately increasing measure on those portions of the attractor where the dynamics is contracting, the overall dynamics can be made nonchaotic, however {\it not} a strange nonchaotic attractor. Alternately, by decreasing measure on contracting regions, the largest Lyapunov exponent can be enhanced. A number of different chaos control and anticontrol techniques are known to function on this paradigm. | |
| dc.description | 4 Pages, 3 Figures | |
| dc.identifier | https://arxiv.org/abs/chao-dyn/9911002 | |
| dc.identifier | http://arxiv.org/abs/chao-dyn/9911002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/15777 | |
| dc.subject | Chaotic Dynamics | |
| dc.title | Can Strange Nonchaotic Dynamics be induced through Stochastic Driving? | |
| dc.type | text |