arXiv Open Access 2022

Explosive transitions in interacting star networks

Anjuman Ara Khatun Ruby Varshney and Haider Hasan Jafri

Lihat Sumber

Abstrak

We study transition to phase synchronization in an ensemble of Stuart-Landau oscillators interacting on a star network. We observe that by introducing frequency weighted coupling and time scale variations in the dynamics of nodes, system exhibits a first order explosive transition to phase synchrony. Further, we extend this study to understand the nature of synchronization in case of two coupled star networks. In presence of symmetry preserving (direct) coupling between the hubs of the two stars, we observe that hysteresis width first increases and then saturates for increasing inter-star coupling strength. For symmetry breaking (conjugate) coupling, the hysteresis width first increases and then decreases with increasing inter-star coupling. As we increase the inter-star coupling further, the transition gradually becomes a second order.

Topik & Kata Kunci

nlin.CD

Penulis (3)

Anjuman Ara Khatun

Ruby Varshney and

Haider Hasan Jafri

Format Sitasi

APA MLA BibTeX

Khatun, A.A., and, R.V., Jafri, H.H. (2022). Explosive transitions in interacting star networks. https://arxiv.org/abs/2209.06048

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2022
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓