Kar Rumi, Chandrasekar V K, Senthilkumar D V
School of Physics, <a href="https://ror.org/01pe3t004">Indian Institute of Science Education and Research</a>, Thiruvananthapuram-695551, Kerala, India.
Department of Physics, Centre for Nonlinear Science & Engineering, School of Electrical & Electronics Engineering, <a href="https://ror.org/032jk8892">SASTRA Deemed University</a>, Thanjavur-613401, Tamil Nadu, India.
Phys Rev E. 2024 Sep;110(3-1):034205. doi: 10.1103/PhysRevE.110.034205.
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.
我们报道了在耦合相位振子的二分网络中，在耦合无任何时间延迟的情况下，高阶耦合诱导出稳定的类嵌合体状态。我们表明，高阶相互作用打破了均匀同步状态的对称性，以促进对称性破缺类嵌合体状态的显现。特别地，只有当成对相互作用是吸引性的且高阶相互作用是排斥性的时候，这种对称性破缺才会显现，反之亦然。此外，我们还证明了通过抑制非对称类嵌合体状态，异质性程度的增加会在相图中促进均匀对称状态。我们使用Ott-Antonsen假设推导了宏观序参量的低维演化方程，并使用软件xppaut从中获得分岔曲线，其与模拟结果非常吻合。我们还推导了非相干态、同相和异相同步态的解析稳定性条件，其与分岔曲线相匹配。
