Effects of Colored Noise on Periodic Orbits in a One-Dimensional Map |
| |
Authors: | LI Feng-Guo and AI Bao-Quan |
| |
Institution: | Laboratory of Quantum Information Technology, ICMP and SPTE, South;China Normal University, Guangzhou 510006, China |
| |
Abstract: | Noise can induce inverse period-doubling transition and chaos. The effects of the colored noise on periodic orbits, of the different periodic sequences in the logistic map, are investigated. It is found that the dynamical behaviors of the orbits, induced by an exponentially correlated colored noise, are different in the mergence of transition, and the effects of the noise intensity ontheir dynamical behaviors are different from the effects of the correlation time of noise. Remarkably, the noise can induce new periodic orbits, namely, two new orbits emerge in the period-four sequence at the bifurcation parameter value μ=3.5, four new orbits in the period-eight sequence at μ=3.55, and three new orbits in the period-six sequence at μ= 3.846, respectively.Moreover, the dynamical behaviors of the new orbits clearly show theresonance like response to the colored noise. |
| |
Keywords: | a one-dimensional map colored noise periodic sequences stochastic resonance |
本文献已被 维普 等数据库收录! |
| 点击此处可从《理论物理通讯》浏览原始摘要信息 |
| 点击此处可从《理论物理通讯》下载免费的PDF全文 |
|