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math.DS2025
Moment stability and large deviations for random dynamical systems on non-compact manifolds
Peter H Baxendale
The rate function for large deviations of the finite time Lyapunov exponent for the derived process in TM corresponding to a stochastic differential equation in M is related, via t…
math.DS2023
Lyapunov exponents and shear-induced chaos for a Hopf bifurcation with additive noise
Peter H. Baxendale
This paper considers the effect of additive white noise on the normal form for the supercritical Hopf bifurcation in 2 dimensions. The main results involve the asymptotic behavior…