17 citations · 132 across the 24 of their papers we have counts for
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Linear response of the Lyapunov exponent to a small constant perturbation
Rafail V. Abramov
In the current work we demonstrate the principal possibility of prediction of the response of the largest Lyapunov exponent of a chaotic dynamical system to a small constant forcin…
The response of reduced models of multiscale dynamics to small external perturbations
Rafail V. Abramov, Marc P. Kjerland
In real-world geophysical applications (such as predicting the climate change), the reduced models of real-world complex multiscale dynamics are used to predict the response of the…
A simple stochastic parameterization for reduced models of multiscale dynamics
Rafail V. Abramov
Multiscale dynamics are frequently present in real-world processes, such as the atmosphere-ocean and climate science. Because of time scale separation between a small set of slowly…
A simple closure approximation for slow dynamics of a multiscale system: nonlinear and multiplicative coupling
Rafail V. Abramov
Multiscale dynamics are ubiquitous in applications of modern science. Because of time scale separation between relatively small set of slowly evolving variables and (typically) muc…
A simple linear response closure approximation for slow dynamics of a multiscale system with linear coupling
Rafail V. Abramov
Many applications of contemporary science involve multiscale dynamics, which are typically characterized by the time and space scale separation of patterns of motion, with fewer sl…
Suppression of chaos at slow variables by rapidly mixing fast dynamics through linear energy-preserving coupling
Rafail V. Abramov
Chaotic multiscale dynamical systems are common in many areas of science, one of the examples being the interaction of the low-frequency dynamics in the atmosphere with the fast tu…
Improved linear response for stochastically driven systems
Rafail V. Abramov
The recently developed short-time linear response algorithm, which predicts the average response of a nonlinear chaotic system with forcing and dissipation to small external pertur…