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| Short-Time Linear Response with Reduced-Rank Tangent Map |
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Citation： |
Rafail V. ABRAMOV.Short-Time Linear Response with Reduced-Rank Tangent Map[J].Chinese Annals of Mathematics B,2009,30(5):447~462 |
| Page view： 1764
Net amount： 1121 |
Authors： |
Rafail V. ABRAMOV; |
Foundation： |
the National Science Foundation (No. DMS-0608984) and the Office of Naval Research
(No. N00014-06-1-0286). |
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| Abstract： |
The recently developed short-time linear response algorithm, which predicts
the response of a nonlinear chaotic forced-dissipative system to small external perturba-
tion, yields high precision of the response prediction. However, the computation of the
short-time linear response formula with the full rank tangent map can be expensive. Here,
a numerical method to potentially overcome the increasing numerical complexity for large
scale models with many variables by using the reduced-rank tangent map in the computa-
tion is proposed. The conditions for which the short-time linear response approximation
with the reduced-rank tangent map is valid are established, and two practical situations
are examined, where the response to small external perturbations is predicted for nonlinear
chaotic forced-dissipative systems with different dynamical properties. |
Keywords： |
Fluctuation-dissipation theorem, Linear response |
Classification： |
65, 82, 86 |
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