Talla Mbé Jimmi H, Talla Alain F, Chengui Geraud R Goune, Coillet Aurélien, Larger Laurent, Woafo Paul, Chembo Yanne K
Laboratory of Modelling and Simulation in Engineering, Biomimetics and Prototypes, University of Yaoundé I, Department of Physics, P.O. Box 812, Yaoundé, Cameroon and African Center of Excellence for Information and Communication Technologies (CETIC), Polytechnic School of Yaoundé, P.O. Box 8390 Yaoundé, Cameroon.
FEMTO-ST Institute [CNRS UMR6174], Optics Department, 15B Avenue des Montboucons, 25030 Besançon Cedex, France.
Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Jan;91(1):012902. doi: 10.1103/PhysRevE.91.012902. Epub 2015 Jan 5.
In this article, we investigate the dynamical behavior of breathers in optoelectronic oscillators from the standpoint of mixed-mode oscillations. In the phase space, these breathers are composite oscillations that are damped to the attractive branches of an invariant manifold. Our study shows that the emergence of breather dynamics is linked to the apparition of inflection points in the phase space, and we develop an analytical framework based on the Liénard reduction form in order to provide an analytical insight into this phenomenology. Our theoretical results are in excellent agreement with experimental measurements.
在本文中，我们从混合模式振荡的角度研究了光电振荡器中呼吸子的动力学行为。在相空间中，这些呼吸子是复合振荡，它们会衰减到不变流形的吸引分支上。我们的研究表明，呼吸子动力学的出现与相空间中拐点的出现有关，并且我们基于李纳约化形式开发了一个分析框架，以便对这种现象学提供分析性见解。我们的理论结果与实验测量结果非常吻合。
