当前位置: X-MOL 学术Commun. Nonlinear Sci. Numer. Simul. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Chimeras in multivariable coupled Rössler oscillators
Communications in Nonlinear Science and Numerical Simulation ( IF 3.4 ) Pub Date : 2020-12-15 , DOI: 10.1016/j.cnsns.2020.105661
Anjuman Ara Khatun , Haider Hasan Jafri

We study the coexistence of synchronous as well as asynchronous dynamical behaviours namely chimera states in an ensemble of nonlinear oscillators coupled through different variables. In this system, such states are a result of multistability induced by the coupling in one variable. By tuning the coupling parameter in a different variable, the region of multistability can be shifted. This provides an additional means to create chimera states. We employ this technique in an ensemble of coupled Rössler systems where we observe that there are multiple attractors and the associated basins are intertwined. For such systems, the strength of incoherence (SI) is a useful order parameter through which chimera states can be effectively characterized. The coexistence of stable synchronized dynamics with desynchronized motion is indicated by the master stability function, which we compute for different attractors.



中文翻译:

多变量耦合Rössler振荡器中的嵌合体

我们研究了通过不同变量耦合的非线性振荡器集合中同步和异步动力学行为(即嵌合体状态)的共存。在这种系统中,这种状态是由一个变量中的耦合引起的多稳定性的结果。通过将耦合参数调整为其他变量,可以移动多稳定性区域。这提供了创建嵌合状态的其他方法。我们在耦合的Rssler系统中采用了该技术,在该系统中,我们发现有多个吸引子并且相关的盆地相互缠绕。对于此类系统,不一致性的强度(小号一世)是有用的阶数参数,通过它可以有效地表征嵌合状态。稳定的同步动力学与不同步的运动并存,这由主稳定函数表示,我们可以针对不同的吸引子进行计算。

更新日期:2020-12-22
down
wechat
bug