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
相关论文
共 50 条
  • [41] Network Higher-Order Structure Dismantling
    Peng, Peng
    Fan, Tianlong
    Lue, Linyuan
    ENTROPY, 2024, 26 (03)
  • [42] Interactive Higher-order Network Analysis
    Rossi, Ryan A.
    Ahmed, Nesreen K.
    Koh, Eunyee
    2018 18TH IEEE INTERNATIONAL CONFERENCE ON DATA MINING WORKSHOPS (ICDMW), 2018, : 1441 - 1446
  • [43] Higher-Order Temporal Network Prediction
    Jung-Muller, Mathieu
    Ceria, Alberto
    Wang, Huijuan
    COMPLEX NETWORKS & THEIR APPLICATIONS XII, VOL 4, COMPLEX NETWORKS 2023, 2024, 1144 : 461 - 472
  • [44] Bipartite centrality diffusion: Mining higher-order network structures via motif-vertex interactions
    Li, Ping
    Chen, Kaiqi
    Ge, Yi
    Zhang, Kai
    Small, Michael
    EPL, 2017, 120 (02)
  • [45] Scaled Coupled Norms and Coupled Higher-Order Tensor Completion
    Wimalawarne, Kishan
    Yamada, Makoto
    Mamitsuka, Hiroshi
    NEURAL COMPUTATION, 2020, 32 (02) : 447 - 484
  • [46] Higher-order genetic interaction discovery with network-based biological priors
    Pellizzoni, Paolo
    Muzio, Giulia
    Borgwardt, Karsten
    BIOINFORMATICS, 2023, 39 : i523 - i533
  • [47] Higher-order genetic interaction discovery with network-based biological priors
    Pellizzoni, Paolo
    Muzio, Giulia
    Borgwardt, Karsten
    BIOINFORMATICS, 2023, 39 : I523 - I533
  • [48] Chimera states in fractional-order coupled Rayleigh oscillators
    Sun, Zhongkui
    Xue, Qifan
    Zhao, Nannan
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2024, 135
  • [49] Chimeric states induced by higher-order interactions in coupled prey-predator systems
    Ghosh, Richita
    Verma, Umesh Kumar
    Jalan, Sarika
    Shrimali, Manish Dev
    CHAOS, 2024, 34 (06)
  • [50] Vector breather waves and higher-order rouge waves to the coupled higher-order nonlinear Schrodinger equations
    Zhou, Xin-Mei
    Tian, Shou-Fu
    Zhang, Ling-Di
    Zhang, Tian-Tian
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2021, 98 (12) : 2504 - 2513