Steady-state solutions in globally coupled nonlinear oscillators with pulsatile interactions

被引:0
|
作者
Hong, HS [1 ]
Soh, KS [1 ]
机构
[1] Seoul Natl Univ, Dept Phys, Seoul 151742, South Korea
关键词
D O I
暂无
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Globally coupled oscillators with a pulsatile interaction were studied. We modified the model of Kuramoto by replacing the piecewise linear terms with nonlinearly self-interacting terms. We obtained the steady-state solutions, and determined the range of the parameters in connection with the number of possible steady states. We analyzed the linear stability of the steady-state solutions by using the asymptotic theory under the assumption of weak noise and weak coupling.
引用
收藏
页码:14 / 19
页数:6
相关论文
共 50 条
  • [31] ON THE CONVERGENCE TO STEADY-STATE OF SOLUTIONS OF NONLINEAR HYPERBOLIC-PARABOLIC SYSTEMS
    KREISS, G
    KREISS, HO
    PETERSSON, NA
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 1994, 31 (06) : 1577 - 1604
  • [32] Direct steady-state solutions for circuit models of nonlinear electromagnetic devices
    Sobczyk, Tadeusz
    Radzik, Michal
    Tulicki, Jaroslaw
    COMPEL-THE INTERNATIONAL JOURNAL FOR COMPUTATION AND MATHEMATICS IN ELECTRICAL AND ELECTRONIC ENGINEERING, 2021, 40 (03) : 660 - 675
  • [33] Periodic Steady-State Solutions of Nonlinear Circuits Based on a Differentiation Matrix
    Garcia, Norberto
    2010 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, 2010, : 141 - 144
  • [34] Steady-state axisymmetric nonlinear magnetohydrodynamic solutions with various boundary conditions
    Wang, Lile
    Lou, Yu-Qing
    MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 2014, 439 (03) : 2323 - 2341
  • [35] Dynamical robustness in a heterogeneous network of globally coupled nonlinear oscillators
    Gowthaman, I
    Singh, Uday
    Chandrasekar, V. K.
    Senthilkumar, D., V
    CHAOS SOLITONS & FRACTALS, 2021, 142 (142)
  • [36] STEADY-STATE DRAWDOWNS IN COUPLED AQUIFERS
    MOTZ, LH
    JOURNAL OF THE HYDRAULICS DIVISION-ASCE, 1978, 104 (07): : 1061 - 1074
  • [37] COUPLED OPTIMIZATION IN STEADY-STATE THERMOELASTICITY
    MERIC, RA
    JOURNAL OF THERMAL STRESSES, 1985, 8 (03) : 333 - 347
  • [38] Steady State Passive Nonlinear Energy Pumping in Coupled Oscillators: Theoretical and Experimental Results
    Xiaoai Jiang
    D. Michael McFarland
    Lawrence A. Bergman
    Alexander F. Vakakis
    Nonlinear Dynamics, 2003, 33 : 87 - 102
  • [39] Steady state passive nonlinear energy pumping in coupled oscillators: Theoretical and experimental results
    Jiang, X
    McFarland, DM
    Bergman, LA
    Vakakis, AF
    NONLINEAR DYNAMICS, 2003, 33 (01) : 87 - 102
  • [40] Transient and steady-state analysis of shifting bias oscillators
    Buonomo, A
    Lo Schiavo, A
    PROCEEDINGS OF THE 2001 WORKSHOP ON NONLINEAR DYNAMICS OF ELECTRONIC SYSTEMS, 2001, : 57 - 60