Local sensitivity of spatiotemporal structures

Authors :: Tatiana E. Vadivasova
Serhiy Yanchuk
I.A. Shepelev
A.V. Bukh
Stefan Ruschel
Source :: Nonlinear Dynamics. 94:1019-1027
Publication Year :: 2018
Publisher :: Springer Science and Business Media LLC, 2018.
Abstract: We present an index for the local sensitivity of spatiotemporal structures in coupled oscillatory systems based on the asymptotic scaling of local-in-space, finite-time Lyapunov Exponents. For a system of nonlocally-coupled R\"{o}ssler oscillators, we show that deviations of this index reflect the sensitivity to noise and the onset of spatial chaos for the patterns where coherence and incoherence regions coexist.<br />Comment: 15 pages, 6 figures