Khanra Pitambar, Kundu Prosenjit, Pal Pinaki, Ji Peng, Hens Chittaranjan
Department of Mathematics, National Institute of Technology, Durgapur 713209, India.
The Institute of Science and Technology for Brain-inspired Intelligence, Fudan University, Shanghai 200433, China.
Chaos. 2020 Mar;30(3):031101. doi: 10.1063/5.0003410.
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.
我们提出了一种自适应耦合策略，以在相位振子的复杂网络（坂口-仓本模型）中诱导滞后/爆发性同步。该耦合策略可确保爆发性同步，并显著增强爆发宽度。结果表明了该策略的稳健性，并且无论网络结构或频率分布如何，该策略都可以（通过诱导增强的滞后环）减少网络中相位挫折的反向影响。此外，我们为振子设计了一组频率，在自适应耦合方案的情况下，最终确保这些振子之间实现完全同相同步行为（具有增强的爆发宽度）。基于平均场分析，我们开发了一种半解析形式体系，它可以准确预测同步序参量的反向转变。
