30 citations · 103 across the 11 of their papers we have counts for
Showing adap-orgShow all
3 papers · 1 filter
adap-org1997
Dynamics controlled by additive noise
G. D. Lythe
Analysis is presented of a system whose dynamics are dramatically simplified by tiny amounts of additive noise. The dynamics divide naturally into two phases. In the slower phase,…
adap-org1997
A noise-controlled dynamic bifurcation
G. D. Lythe
We consider a slow passage through a point of loss of stability. If the passage is sufficiently slow, the dynamics are controlled by additive random disturbances, even if they are…
adap-org1997★ 30 cited
Stochastic calculus: application to dynamic bifurcations and threshold crossings
Kalvis M. Jansons, G. D. Lythe
For the dynamic pitchfork bifurcation in the presence of white noise, the statistics of the last time at zero are calculated as a function of the noise level and the rate of change…