Local sensitivity of spatiotemporal structures
Dynamical Systems
2017-12-05 v1 Chaotic Dynamics
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.
Cite
@article{arxiv.1712.01012,
title = {Local sensitivity of spatiotemporal structures},
author = {I. A. Shepelev and A. V. Bukh and S. Ruschel and S. Yanchuk and T. E. Vadivasova},
journal= {arXiv preprint arXiv:1712.01012},
year = {2017}
}
Comments
15 pages, 6 figures