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math.DS2026
Random attractors and almost-sure stability under discretization of a stochastic autoparametric system
Chuchu Chen, Jialin Hong, Yibo Wang
For a stochastic autoparametric block-and-pendulum system, the long-time dynamics exhibit two fundamental features: the almost-sure stability of the single mode solution, character…
math.DS2025
Random attractor and SRB measure for stochastic Hopf bifurcation under discretization
Chuchu Chen, Jialin Hong, Yibo Wang
Chaotic phases in stochastic differential equations are characterized by two essential long-time dynamical features: a random attractor capturing asymptotic geometry and a Sinai-Ru…