English

Amplification of explosive width in complex networks

Adaptation and Self-Organizing Systems 2021-04-15 v1 Chaotic Dynamics

Abstract

We present an adaptive coupling strategy to induce hysteresis/explosive synchronization (ES) in complex networks of phase oscillators Sakaguchi-Kuramoto model). The coupling strategy ensures explosive synchronization with significant explosive width enhancement. Results show the robustness of the strategy and the strategy can diminish (by inducing enhanced hysteresis loop) the contrarian impact of phase frustration in the network, irrespective of network structure or frequency distributions. Additionally, we design a set of frequency for the oscillators which eventually ensure complete in-phase synchronization behavior among these oscillators (with enhanced explosive width) in the case of adaptive-coupling scheme. Based on a mean-field analysis, we develop a semi-analytical formalism, which can accurately predict the backward transition of synchronization order parameter.

Keywords

Cite

@article{arxiv.2104.06862,
  title  = {Amplification of explosive width in complex networks},
  author = {Pitambar Khanra and Prosenjit Kundu and Pinaki Pal and Peng Ji and Chittaranjan Hens},
  journal= {arXiv preprint arXiv:2104.06862},
  year   = {2021}
}

Comments

7 pages, 5 figures, Published in Chaos (Fast track)

R2 v1 2026-06-24T01:09:48.308Z