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Shear-induced symmetry-breaking dynamical states

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Abstract

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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Acknowledgements

The work of K. P has been supported by the UGC, Government of India through a Dr D S Kothari Post Doctoral Fellowship under Grant No. F.4-2/2006 (BSR) /PH/20-21/0197. The work of V.K.C. forms part of the research projects sponsored by the DST-CRG Project under Grant No. CRG/2020/004353. V.K.C. also wishes to thank DST, New Delhi for computational facilities under the DST-FIST Program (Grant No. SR/FST/PS-1/2020/135) to the department of Physics. ML is supported by DST-SERB through a National Science Chair (Grant No. NSC/2020/000029).

Author information

Authors and Affiliations

  1. Department of Physics, Bharathiar University, Coimbatore, Tamil Nadu, 641 046, India

    K. Premalatha & L. Senthilkumar

  2. Department of Physics, Centre for Nonlinear Science & Engineering, School of Electrical & Electronics Engineering, SASTRA Deemed University, Thanjavur, Tamil Nadu, 613 401, India

    V. K. Chandrasekar

  3. Department of Nonlinear Dynamics, School of Physics, Bharathidasan University, Tiruchirappalli, Tamil Nadu, 620 024, India

    M. Lakshmanan

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  1. K. Premalatha
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  4. M. Lakshmanan
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All the authors contributed equally to the preparation of this manuscript.

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Correspondence to K. Premalatha.

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Premalatha, K., Chandrasekar, V.K., Senthilkumar, L. et al. Shear-induced symmetry-breaking dynamical states. Eur. Phys. J. Plus 138, 755 (2023). https://doi.org/10.1140/epjp/s13360-023-04396-1

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