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cond-mat.stat-mech2020★ 1 cited
Lyapunov exponent for Whitney's problem with random drive
Nikolai A. Stepanov, Mikhail A. Skvortsov
We consider the statistical properties of a non-falling trajectory in the Whitney problem of an inverted pendulum excited by an external force. In the case when the external force…
cond-mat.stat-mech2020
Inverted pendulum driven by a horizontal random force: statistics of the never-falling trajectory and supersymmetry
Nikolai A. Stepanov, Mikhail A. Skvortsov
We study stochastic dynamics of an inverted pendulum subject to a random force in the horizontal direction (Whitney's problem). Considered on the entire time axis, the problem admi…