Abstract
| Original language | English |
|---|---|
| Article number | 093133 |
| Journal | Chaos: an interdisciplinary journal of nonlinear science |
| Volume | 29 |
| Issue number | 9 |
| DOIs | |
| Publication status | Published - 30 Sep 2019 |
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The reservoir’s perspective on generalized synchronization. / Lymburn, Thomas; Walker, David M.; Small, Michael; Jüngling, Thomas.
In: Chaos: an interdisciplinary journal of nonlinear science, Vol. 29, No. 9, 093133, 30.09.2019.Research output: Contribution to journal › Article
TY - JOUR
T1 - The reservoir’s perspective on generalized synchronization
AU - Lymburn, Thomas
AU - Walker, David M.
AU - Small, Michael
AU - Jüngling, Thomas
PY - 2019/9/30
Y1 - 2019/9/30
N2 - We employ reservoir computing for a reconstruction task in coupled chaotic systems, across a range of dynamical relationships including generalized synchronization. For a drive-response setup, a temporal representation of the synchronized state is discussed as an alternative to the known instantaneous form. The reservoir has access to both representations through its fading memory property, each with advantages in different dynamical regimes. We also extract signatures of the maximal conditional Lyapunov exponent in the performance of variations of the reservoir topology. Moreover, the reservoir model reproduces different levels of consistency where there is no synchronization. In a bidirectional coupling setup, high reconstruction accuracy is achieved despite poor observability and independent of generalized synchronization.
AB - We employ reservoir computing for a reconstruction task in coupled chaotic systems, across a range of dynamical relationships including generalized synchronization. For a drive-response setup, a temporal representation of the synchronized state is discussed as an alternative to the known instantaneous form. The reservoir has access to both representations through its fading memory property, each with advantages in different dynamical regimes. We also extract signatures of the maximal conditional Lyapunov exponent in the performance of variations of the reservoir topology. Moreover, the reservoir model reproduces different levels of consistency where there is no synchronization. In a bidirectional coupling setup, high reconstruction accuracy is achieved despite poor observability and independent of generalized synchronization.
U2 - 10.1063/1.5120733
DO - 10.1063/1.5120733
M3 - Article
VL - 29
JO - Chaos
JF - Chaos
SN - 1054-1500
IS - 9
M1 - 093133
ER -