https://doi.org/10.1140/epjp/s13360-023-04396-1
Regular Article
Shear-induced symmetry-breaking dynamical states
1
Department of Physics, Bharathiar University, 641 046, Coimbatore, Tamil Nadu, India
2
Department of Physics, Centre for Nonlinear Science & Engineering, School of Electrical & Electronics Engineering, SASTRA Deemed University, 613 401, Thanjavur, Tamil Nadu, India
3
Department of Nonlinear Dynamics, School of Physics, Bharathidasan University, 620 024, Tiruchirappalli, Tamil Nadu, India
Received:
30
June
2023
Accepted:
17
August
2023
Published online:
26
August
2023
We examine how shear influences the emergence of symmetry-breaking dynamical states in a globally coupled Stuart–Landau (SL) oscillator system with combined attractive and repulsive interactions. In the absence of the shear parameter, the system exhibits synchronization, nontrivial oscillation death states and oscillation death states. However, with the introduction of the shear parameter, we observe diverse dynamical patterns, including amplitude clusters, solitary states, complete synchronization and nontrivial oscillation death states when the repulsive interaction is weak. As the strength of the repulsive interaction increases, the system becomes more heterogeneous, resulting in imperfect solitary states. We also validate the analytical stability condition for the oscillation death region and compare it with the numerical boundary, finding a close match. Furthermore, we discover that the presence of shear leads to the emergence of symmetry-breaking dynamical states, specifically inhomogeneous oscillation death states and oscillatory cluster states under nonlocal coupling interaction.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
