Stochastic control of attractor preference in a multistable system |
| |
| Authors: | BE Martínez-Zérega AN Pisarchik |
| |
| Institution: | 1. Centro de Investigaciones en Optica, Loma del Bosque 115, Lomas del Campestre, Leon, Guanajuato, Mexico;2. Centro Universitario de los Lagos, Universidad de Guadalajara, Enrique Díaz de León 1144, Paseos de la Montaña, Lagos de Moreno, Jalisco, Mexico;1. Laboratory of Cell Biology, Center for Cancer Research, National Cancer Institute, National Institutes of Health, Bethesda, MD, USA;2. Department of Mathematics and Center for Scientific Computation and Mathematical Modeling (CSCAMM), University of Maryland, College Park, MD, USA;1. Morfología Vegetal, Fac. Ciencias Agrarias, University Nac. Del Litoral, Kreder 2805, 3080 Esperanza, Santa Fe, Argentina;2. Instituto de Agrobiotecnología del Litoral (UNL-CONICET), Esperanza, Santa Fe, Argentina;1. Fine Particle Engineering Group, National Institute for Materials Science, 3-13 Sakura, Tsukuba, Japan;2. Graduate School of Frontier Sciences, The University of Tokyo, 5-1-5 Kashiwanoha, Kashiwa, Japan;3. Department of Mechanical Engineering, Nihon University, 1-2-1 Izumicho, Narashino 275-8575, Japan |
| |
| Abstract: | When talking about the size of basins of attraction of coexisting states in a noisy multistable system, one can only refer to its probabilistic properties. In this context, the most probable size of basins of attraction of some coexisting states exhibits an obvious non-monotonous dependence on the noise amplitude, i.e., there exists a certain noise level for which the most probable basin’s size is larger than for other noise values, while the average size always decreases as the noise amplitude increases. Such a behavior is demonstrated through the study of the Hénon map with three coexisting attractors (period 1, period 3, and period 9). Since the position of the probabilistic extrema depends on the amplitude and frequency of external modulation applied to a system parameter, noise, periodic modulation and a combination of both provide an efficient control of attractor preference in a system with multiple coexisting states. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
