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Local sensitivity of spatiotemporal structures

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Abstract

We present an index for the local sensitivity of spatiotemporal structures in coupled oscillatory systems based on the properties of local-in-space, finite-time Lyapunov exponents. For a system of nonlocally coupled Rössler oscillators, we show that variations of this index for different oscillators reflect the sensitivity to noise and the onset of spatial chaos for the patterns where coherence and incoherence regions coexist.

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Acknowledgements

This work was supported by the German Research Foundation (DFG) in the framework of the Collaborative Research Center (SFB) 910, Projects A3 and B11. T. E. V. acknowledges support in part from the Russian Ministry of Education and Science (Project Code 3.8616.2017/8.9) (discussion of the numerical results).

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Authors and Affiliations

  1. Saratov National Research State University, Astrakhanskaya Street 83, Saratov, Russia, 410012

    Igor A. Shepelev, Andrei V. Bukh & Tatiana E. Vadivasova

  2. Institute of Mathematics, Technische Universitt Berlin, Strae des 17. Juni 136, 10623, Berlin, Germany

    Stefan Ruschel & Serhiy Yanchuk

Authors
  1. Igor A. Shepelev
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  2. Andrei V. Bukh
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  3. Stefan Ruschel
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  4. Serhiy Yanchuk
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  5. Tatiana E. Vadivasova
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Correspondence to Igor A. Shepelev.

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Shepelev, I.A., Bukh, A.V., Ruschel, S. et al. Local sensitivity of spatiotemporal structures. Nonlinear Dyn 94, 1019–1027 (2018). https://doi.org/10.1007/s11071-018-4407-7

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