Starting from [J.-M. Ginoux et al., Torus breakdown in a uni junction memristor, Int. J. Bifurcation Chaos 28(10) (2018) 1850128; J.-M. Ginoux et al., Torus breakdown in a two-stroke relaxation memristor, Chaos Solitons Fractals 153 (2021) 111594], we define a model which describes the dynamical behavior of a class of two-stroke oscillators (i.e., nonlinear oscillators with two distinct phases per cycle). We highlight some properties of the model still not taken into account, like presence of a global bifurcation and bistability for some regions of the parameters space. We then extend the model to study two coupled two-stroke oscillators, where synchrony and anti-synchrony regimes appear as well as transient chaos and intermittency phenomena. We finally compare the theoretical results on synchrony regimes with the corresponding experimental data obtained from a circuit where two relaxation oscillators, based on the Unijunction Transistor (UJT) electronic component, are coupled together. The comparison shows a good qualitative agreement between the experiments and the theoretical results.

从[J.-M. 吉努克斯等人。，单结忆阻器中的环面击穿，Int。J.分叉混沌 28 (10)(2018)1850128; J.-M。吉努克斯等人。，二冲程弛豫忆阻器中的环面击穿，混沌孤子分形 153 (2021) 111594]，我们定义了一个模型，描述一类二冲程振荡器（即每个周期具有两个不同相位的非线性振荡器）的动态行为。我们强调模型的一些属性仍未考虑在内，例如参数空间某些区域存在全局分岔和双稳态。然后，我们扩展该模型来研究两个耦合的二冲程振荡器，其中出现同步和反同步状态以及瞬态混沌和间歇现象。最后，我们将同步机制的理论结果与从两个基于单结晶体管 (UJT) 电子元件的张弛振荡器耦合在一起的电路中获得的相应实验数据进行比较。比较表明实验和理论结果之间具有良好的定性一致性。