当前位置: X-MOL 学术Phys. D Nonlinear Phenom. › 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.)
Rectangular structures in the model of an optoelectronic oscillator with delay
Physica D: Nonlinear Phenomena ( IF 4 ) Pub Date : 2020-12-16 , DOI: 10.1016/j.physd.2020.132818
E.V. Grigorieva , S.A. Kashchenko

We study the dynamics of the differential-difference model of an optoelectronic generator with delayed feedback in three bifurcation cases. Boundary-value problems are obtained which play the role of normal forms. Stationary inhomogeneous solutions of such problems are structures with a profile in the form of a step or several rectangular pulses. The existence of families of the structures, which differ in the number of pulses and/or their symmetry, is shown. Each of these structures corresponds to rectangular oscillations in the source system with delay. The frequencies and amplitudes of such oscillating solutions to the delay equation are determined. The multistability of oscillating solutions is illustrated. The results provide a justification for the spatiotemporal representation of solutions of the delay equation.



中文翻译:

具有延迟的光电振荡器模型中的矩形结构

我们研究了在三个分叉情况下具有延迟反馈的光电发生器的差分模型的动力学。获得了边值问题,这些边值问题起着范式的作用。这些问题的固定不均匀解决方案是具有阶梯或多个矩形脉冲形式的轮廓的结构。示出了结构族的存在,其在脉冲数量和/或它们的对称性方面不同。这些结构中的每一个都对应于源系统中具有延迟的矩形振荡。确定这种对于延迟方程的振荡解的频率和幅度。说明了振荡溶液的多重稳定性。结果为时滞方程解的时空表示提供了依据。

更新日期:2020-12-31
down
wechat
bug