Banerjee Tanmoy, Ghosh Debarati
Department of Physics, University of Burdwan, Burdwan 713 104, West Bengal, India.
Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Jun;89(6):062902. doi: 10.1103/PhysRevE.89.062902. Epub 2014 Jun 3.
We report the experimental evidence of an important transition scenario, namely the transition from amplitude death (AD) to oscillation death (OD) state in coupled limit cycle oscillators. We consider two Van der Pol oscillators coupled through mean-field diffusion and show that this system exhibits a transition from AD to OD, which was earlier shown for Stuart-Landau oscillators under the same coupling scheme [T. Banerjee and D. Ghosh, Phys. Rev. E 89, 052912 (2014)]. We show that the AD-OD transition is governed by the density of mean-field and beyond a critical value this transition is destroyed; further, we show the existence of a nontrivial AD state that coexists with OD. Next, we implement the system in an electronic circuit and experimentally confirm the transition from AD to OD state. We further characterize the experimental parameter zone where this transition occurs. The present study may stimulate the search for the practical systems where this important transition scenario can be observed experimentally.
我们报告了一个重要转变情形的实验证据，即耦合极限环振荡器中从振幅死亡（AD）到振荡死亡（OD）状态的转变。我们考虑通过平均场扩散耦合的两个范德波尔振荡器，并表明该系统呈现出从AD到OD的转变，这在之前相同耦合方案下的斯图尔特 - 朗道振荡器中已被证明 [T. 班纳吉和D. 戈什，《物理评论E》89, 052912 (2014)]。我们表明，AD - OD转变由平均场密度控制，超过临界值时该转变被破坏；此外，我们展示了与OD共存的非平凡AD状态的存在。接下来，我们在电子电路中实现该系统，并通过实验证实从AD到OD状态的转变。我们进一步刻画了发生此转变的实验参数区域。本研究可能会激发对能够通过实验观察到这一重要转变情形的实际系统的探索。
