Observing spatio-temporal dynamics of excitable media using reservoir computing

被引：116
|
作者：
Zimmermann, Roland S. [1 ,2 ]
Parlitz, Ulrich [1 ,2 ,3 ]
机构：
[1] Max Planck Inst Dynam & Self Org, Fassberg 17, D-37077 Gottingen, Germany
[2] Georg August Univ Gottingen, Inst Nonlinear Dynam, Friedrich Hund Pl 1, D-37077 Gottingen, Germany
[3] German Ctr Cardiovasc Res DZHK, Partner Site Gottingen,Robert Koch Str 42a, D-37075 Gottingen, Germany
来源：
CHAOS | 2018年 / 28卷 / 04期
关键词：
GENERALIZED SYNCHRONIZATION; MODEL;
D O I：
10.1063/1.5022276
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present a dynamical observer for two dimensional partial differential equation models describing excitable media, where the required cross prediction from observed time series to not measured state variables is provided by Echo State Networks receiving input from local regions in space, only. The efficacy of this approach is demonstrated for (noisy) data from a (cubic) Barkley model and the Bueno-Orovio-Cherry-Fenton model describing chaotic electrical wave propagation in cardiac tissue. Published by AIP Publishing.
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页数：9
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