Noise suppresses or expresses exponential growth

Environmental Brownian noise suppresses explosions in population dynamics

Xuerong Mao, Glenn Marion, Eric Renshaw · Stochastic Processes and their Applications · 2002 · 925 citations

Life Sciences, Biology, Ecology +14

Stabilization of Linear Systems by Noise

Ludwig Arnold, Hans Crauel, Volker Wihstutz · SIAM Journal on Control and Optimization · 1983 · 256 citations

Engineering, Mathematics, Dynamical Systems +16

Stochastic stabilization and destabilization

Xuerong Mao · Systems & Control Letters · 1994 · 219 citations

Engineering, Industrial Engineering, Dynamical Systems +11

Stabilization and Destabilization by Noise in the Plane

Michael Scheutzow · Stochastic Analysis and Applications · 1993 · 116 citations

Natural Sciences, Mathematics, Differential Equations +16

On the stability of processes defined by stochastic difference-differential equations

Harold J. Kushner · Journal of Differential Equations · 1968 · 97 citations

Engineering, Mathematics, Dynamical Systems +11