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Amplification of explosive width in complex networks
Chaos: An Interdisciplinary Journal of Nonlinear Science ( IF 2.9 ) Pub Date : 2020-03-19 , DOI: 10.1063/5.0003410
Pitambar Khanra 1 , Prosenjit Kundu 1 , Pinaki Pal 1 , Peng Ji 2 , Chittaranjan Hens 3
Affiliation  

We present an adaptive coupling strategy to induce hysteresis/explosive synchronization 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 the 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 the synchronization order parameter.

中文翻译:

复杂网络中炸药宽度的扩大

我们提出了一种自适应耦合策略,以在复杂的相位振荡器网络中引起磁滞/爆炸同步(坂口–仓本模型)。耦合策略可确保炸药同步并显着增加炸药宽度。结果显示了该策略的鲁棒性,并且该策略可以减少(通过引入增强的磁滞回线)网络中相位挫折的不利影响,而与网络结构或频率分布无关。此外,我们为振荡器设计了一组频率,在自适应耦合方案的情况下,这些频率最终确保了这些振荡器之间具有完全的同相同步行为(具有增强的爆炸宽度)。基于均值分析,我们发展了半分析形式主义,
更新日期:2020-04-10
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