133 citations · 889 across the 32 of their papers we have counts for
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Nonlinear oscillator with parametric colored noise: some analytical results
Kirone Mallick, Philippe Marcq
The asymptotic behavior of a nonlinear oscillator subject to a multiplicative Ornstein-Uhlenbeck noise is investigated. When the dynamics is expressed in terms of energy-angle coor…
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…
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…
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…
Stability analysis of a noise-induced Hopf bifurcation
Kirone Mallick, Philippe Marcq
We study analytically and numerically the noise-induced transition between an absorbing and an oscillatory state in a Duffing oscillator subject to multiplicative, Gaussian white n…
Effects of parametric noise on a nonlinear oscillator
Kirone Mallick, Philippe Marcq
We study a model of a nonlinear oscillator with a random frequency and derive the asymptotic behavior of the probability distribution function when the noise is white. In the small…