133 citations · 889 across the 32 of their papers we have counts for
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cond-mat.stat-mech2004★ 10 cited
Anharmonic oscillator driven by additive Ornstein-Uhlenbeck noise
Kirone Mallick, Philippe Marcq
We present an analytical study of a nonlinear oscillator subject to an additive Ornstein-Uhlenbeck noise. Known results are mainly perturbative and are restricted to the large diss…
cond-mat.stat-mech2004★ 20 cited
On the stochastic pendulum with Ornstein-Uhlenbeck noise
Kirone Mallick, Philippe Marcq
We study a frictionless pendulum subject to multiplicative random noise. Because of destructive interference between the angular displacement of the system and the noise term, the…
cond-mat.stat-mech2004★ 17 cited
Noise-induced reentrant transition of the stochastic Duffing oscillator
Kirone Mallick, Philippe Marcq
We derive the exact bifurcation diagram of the Duffing oscillator with parametric noise thanks to the analytical study of the associated Lyapunov exponent. When the fixed point is…