Mean First Passage Time in Periodic Attractors
| dc.creator | Priel, Avner | |
| dc.date | 2006-03-16 | |
| dc.date.accessioned | 2026-07-07T07:06:21Z | |
| dc.date.available | 2026-07-07T07:06:21Z | |
| dc.description | The properties of the mean first passage time in a system characterized by multiple periodic attractors are studied. Using a transformation from a high dimensional space to 1D, the problem is reduced to a stochastic process along the path from the fixed point attractor to a saddle point located between two neighboring attractors. It is found that the time to switch between attractors depends on the effective size of the attractors, $τ$, the noise, $ε$, and the potential difference between the attractor and an adjacent saddle point as: $~T = {c \over τ} \exp({τ\over ε} Δ{\cal{U}})~$; the ratio between the sizes of the two attractors affects $Δ{\cal{U}}$. The result is obtained analytically for small $τ$ and confirmed by numerical simulations. Possible implications that may arise from the model and results are discussed. | |
| dc.description | 14 pages, 3 figures, submitted to journal of physics A | |
| dc.identifier | https://arxiv.org/abs/math-ph/0603042 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0603042 | |
| dc.identifier | J. Phys. A: Math. Gen. 39 (2006) 8603-8612 | |
| dc.identifier | doi:10.1088/0305-4470/39/27/004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/109991 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Dynamical Systems | |
| dc.subject | Data Analysis, Statistics and Probability | |
| dc.title | Mean First Passage Time in Periodic Attractors | |
| dc.type | text |