论文标题
范德波尔和雷利振荡器家族中双律和三节模型的系统设计
Systematic designing of bi-rhythmic and tri-rhythmic models in families of Van der Pol and Rayleigh oscillators
论文作者
论文摘要
Van der Pol和Rayleigh振荡器是两个传统的非线性动力学范式。它们可以归为liénard的一般形式 - 莱文森 - 史密斯（LLS）系统。基于找到一类LLS振荡器可能最大数量的极限循环的配方，我们在这里提出了一种用于系统设计的计划，用于对振荡器的通用雷利和Van der Pol家族，具有所需数量的多个极限周期的振荡器。明确执行数值模拟，以系统地搜索双收益和三节奏系统的参数空间及其高阶变体。
Van der Pol and Rayleigh oscillators are two traditional paradigms of nonlinear dynamics. They can be subsumed into a general form of Liénard--Levinson--Smith(LLS) system. Based on a recipe for finding out maximum number of limit cycles possible for a class of LLS oscillator, we propose here a scheme for systematic designing of generalised Rayleigh and Van der Pol families of oscillators with a desired number of multiple limit cycles. Numerical simulations are explicitly carried out for systematic search of the parameter space for bi-rhythmic and tri-rhythmic systems and their higher order variants.
