Noise-induced strong stabilization
Abstract
We consider a 2-dimensional stochastic differential equation in polar
coordinates depending on several parameters. We show that if these parameters
belong to a specific regime then the deterministic system explodes in finite
time, but the random dynamical system corresponding to the stochastic equation
is not only strongly complete but even admits a random attractor.
Type
Journal articlePermalink
https://hdl.handle.net/10161/21682Collections
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Jonathan Christopher Mattingly
Kimberly J. Jenkins Distinguished University Professor of New Technologies
Jonathan Christopher Mattingly grew up in Charlotte, NC where he attended Irwin Ave
elementary and Charlotte Country Day. He graduated from the NC School of Science
and Mathematics and received a BS is Applied Mathematics with a concentration in physics
from Yale University. After two years abroad with a year spent at ENS Lyon studying
nonlinear and statistical physics on a Rotary Fellowship, he returned to the US to
attend Princeton University where he obtained a PhD in Applied and
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