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arXiv · 1712.01012

Local sensitivity of spatiotemporal structures

I. A. Shepelev·A. V. Bukh·S. Ruschel·S. Yanchuk·T. E. Vadivasova
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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 Rössler 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.

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I. A. Shepelev, A. V. Bukh, S. Ruschel, S. Yanchuk, T. E. Vadivasova. 2017-12-04. Local sensitivity of spatiotemporal structures. https://arxiv.org/abs/1712.01012

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