Local sensitivity of spatiotemporal structures

Igor A. Shepelev; Andrei V. Bukh; Stefan Ruschel; Serhiy Yanchuk; Tatiana E. Vadivasova

doi:10.1007/s11071-018-4407-7

Local sensitivity of spatiotemporal structures

Igor A. Shepelev
, Andrei V. Bukh
, Stefan Ruschel
, Serhiy Yanchuk
, Tatiana E. Vadivasova

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	1019-1027
Number of pages	9
Journal	Nonlinear Dynamics
Volume	94
Issue number	2
DOIs	https://doi.org/10.1007/s11071-018-4407-7
Publication status	Published - 1 Oct 2018
Externally published	Yes

Keywords

Chimera states
Lyapunov exponents
Nonlocal coupling
Spatiotemporal chaos

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10.1007/s11071-018-4407-7

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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 R{\"o}ssler 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.",

keywords = "Chimera states, Lyapunov exponents, Nonlocal coupling, Spatiotemporal chaos",

author = "Shepelev, \{Igor A.\} and Bukh, \{Andrei V.\} and Stefan Ruschel and Serhiy Yanchuk and Vadivasova, \{Tatiana E.\}",

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AU - Shepelev, Igor A.

AU - Bukh, Andrei V.

AU - Ruschel, Stefan

AU - Yanchuk, Serhiy

AU - Vadivasova, Tatiana E.

PY - 2018/10/1

Y1 - 2018/10/1

N2 - 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.

AB - 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.

KW - Chimera states

KW - Lyapunov exponents

KW - Nonlocal coupling

KW - Spatiotemporal chaos

UR - https://www.scopus.com/pages/publications/85048365802

U2 - 10.1007/s11071-018-4407-7

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M3 - Article

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JO - Nonlinear Dynamics

JF - Nonlinear Dynamics

IS - 2

ER -

Local sensitivity of spatiotemporal structures

Abstract

Keywords

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