Higher-order interaction induced chimeralike state in a bipartite network

IF 2.4 3区 物理与天体物理 Q1 Mathematics Physical review. E Pub Date : 2024-09-10 DOI:10.1103/physreve.110.034205
Rumi Kar, V. K. Chandrasekar, D. V. Senthilkumar
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Abstract

We report higher-order coupling induced stable chimeralike state in a bipartite network of coupled phase oscillators without any time-delay in the coupling. We show that the higher-order interaction breaks the symmetry of the homogeneous synchronized state to facilitate the manifestation of symmetry breaking chimeralike state. In particular, such symmetry breaking manifests only when the pairwise interaction is attractive and higher-order interaction is repulsive, and vice versa. Further, we also demonstrate the increased degree of heterogeneity promotes homogeneous symmetric states in the phase diagram by suppressing the asymmetric chimeralike state. We deduce the low-dimensional evolution equations for the macroscopic order parameters using Ott-Antonsen ansatz and obtain the bifurcation curves from them using the software xppaut, which agrees very well with the simulation results. We also deduce the analytical stability conditions for the incoherent state, in-phase and out-of-phase synchronized states, which match with the bifurcation curves.

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二方网络中的高阶交互诱导嵌合态
我们报告了在耦合相位振荡器的双向网络中,高阶耦合诱导的稳定嵌合态,耦合过程中没有任何时间延迟。我们的研究表明,高阶相互作用打破了同质同步态的对称性,从而促进了对称性打破的嵌合态的出现。特别是,这种对称性破缺只有在成对相互作用具有吸引力而高阶相互作用具有排斥力时才会表现出来,反之亦然。此外,我们还证明了异质性程度的增加会抑制非对称嵌合态,从而促进相图中的同质对称态。我们利用 Ott-Antonsen 解析推导出了宏观阶次参数的低维演化方程,并利用 xppaut 软件从中得到了分岔曲线,这与模拟结果非常吻合。我们还推导出了非相干态、同相同步态和失相同步态的解析稳定条件,这些条件与分岔曲线相吻合。
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来源期刊
Physical review. E
Physical review. E 物理-物理:流体与等离子体
CiteScore
4.60
自引率
16.70%
发文量
0
审稿时长
3.3 months
期刊介绍: Physical Review E (PRE), broad and interdisciplinary in scope, focuses on collective phenomena of many-body systems, with statistical physics and nonlinear dynamics as the central themes of the journal. Physical Review E publishes recent developments in biological and soft matter physics including granular materials, colloids, complex fluids, liquid crystals, and polymers. The journal covers fluid dynamics and plasma physics and includes sections on computational and interdisciplinary physics, for example, complex networks.
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