Center for Nonlinear Science, University of Science, Unjong-District, Pyongyang, Democratic People's Republic of Korea.
Phys Rev E. 2017 Sep;96(3-1):032224. doi: 10.1103/PhysRevE.96.032224. Epub 2017 Sep 22.
We consider a ring of phase oscillators with nonlocal coupling strength and heterogeneous phase lags. We analyze the effects of heterogeneity in the phase lags on the existence and stability of a variety of steady states. A nonlocal coupling with heterogeneous phase lags that allows the system to be solved analytically is suggested and the stability of solutions along the Ott-Antonsen invariant manifold is explored. We present a complete bifurcation diagram for stationary patterns including the uniform drift and modulated drift states as well as chimera state, which reveals that the stable modulated drift state and a continuum of metastable drift states could occur due to the heterogeneity of the phase lags. We verify our theoretical results using the direct numerical simulations of the model system.
我们考虑了一个具有非局部耦合强度和异质相位滞后的相振荡器环。我们分析了相位滞后的异质性对各种稳定状态的存在和稳定性的影响。提出了一种具有异质相位滞后的非局部耦合，使得系统可以进行解析求解，并探索了解沿着 Ott-Antonsen 不变流形的稳定性。我们呈现了一个完整的静态模式分叉图，包括均匀漂移和调制漂移状态以及嵌合体状态，这表明由于相位滞后的异质性，稳定的调制漂移状态和连续的亚稳定漂移状态可能会出现。我们使用模型系统的直接数值模拟验证了我们的理论结果。
