Leading Order Response of Statistical Averages of a Dynamical System to Small Stochastic Perturbations

The response of reduced models of multiscale dynamics to small external perturbations

(2016) Rafail V. Abramov et al.   Communications in Mathematical Sciences

Linear response of the Lyapunov exponent to a small constant perturbation

(2016) Rafail V. Abramov   Communications in Mathematical Sciences

Suppression of chaos at slow variables by rapidly mixing fast dynamics through linear energy-preserving coupling

(2013) Rafail V. Abramov   Communications in Mathematical Sciences

A Simple Closure Approximation for Slow Dynamics of a Multiscale System: Nonlinear and Multiplicative Coupling

(2013) Rafail V. Abramov   MULTISCALE MODELING & SIMULATION

Improved linear response for stochastically driven systems

(2012) Rafail V. Abramov   Frontiers of Mathematics in China

Stochastic Perturbations to Dynamical Systems: A Response Theory Approach

(2012) Valerio Lucarini   JOURNAL OF STATISTICAL PHYSICS

A Simple Linear Response Closure Approximation for Slow Dynamics of a Multiscale System with Linear Coupling

(2012) Rafail V. Abramov   MULTISCALE MODELING & SIMULATION

Approximate linear response for slow variables of dynamics with explicit time scale separation

(2010) Rafail V. Abramov   JOURNAL OF COMPUTATIONAL PHYSICS

Short-time linear response with reduced-rank tangent map

(2009) Rafail V. Abramov   CHINESE ANNALS OF MATHEMATICS SERIES B

High skill in low-frequency climate response through fluctuation dissipation theorems despite structural instability

(2009) A. J. Majda et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Climate Response of Linear and Quadratic Functionals Using the Fluctuation–Dissipation Theorem

(2008) Andrey Gritsun et al.   JOURNAL OF THE ATMOSPHERIC SCIENCES

A New Algorithm for Low-Frequency Climate Response

(2008) Rafail V. Abramov et al.   JOURNAL OF THE ATMOSPHERIC SCIENCES