Chimera states in a globally coupled bipartite network with higher-order interaction

被引:0
|
作者
Kar, Rumi [1 ]
Nair, Gokul B. [1 ]
Chandrasekar, V. K. [2 ]
Senthilkumar, D. V. [1 ]
机构
[1] Indian Inst Sci Educ & Res, Sch Phys, Thiruvananthapuram 695551, India
[2] SASTRA Univ, Ctr Nonlinear Sci & Engn, Sch Elect & Elect Engn, Thanjavur 613401, India
关键词
Kuramoto model; Higher order coupling; COMPLEX NETWORKS; SYNCHRONIZATION; STABILITY; DYNAMICS; ASSOCIATION; POPULATIONS; DEATH; MODEL;
D O I
10.1016/j.chaos.2025.116042
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We show the emergence of two distinct stable chimeras and two distinct breathing chimeras in a globally coupled phase oscillators on a bipartite network due to the interplay between the higher-order interaction and the phase lag parameter. We also show that the bipartite network exhibits extreme multistable states and a wide variety of phase transitions among the observed dynamical states. We find that a delicate balance between the higher-order interaction and the phase lag parameter favors asymmetric inhomogeneous dynamical states, while that between the pairwise interaction and the phase lag parameter favors symmetric homogeneous synchronized state in a large region of the parameter space. In addition, a large degree of heterogeneity also found to favor homogeneous synchronized state. We also deduce the low-dimensional evolution equations corresponding to the macroscopic order parameters from the original discrete system of coupled phase oscillators on the bipartite network using the Ott-Antonsen framework. Further, we analytically derive the stability conditions for the in-phase, and out-of-phase synchronized states including desynchronized state from the evolution equations for the macroscopic order parameters.
引用
收藏
页数:10
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