Dana Syamal Kumar, Blasius Bernd, Kurths Jürgen
Instrument Division, Indian Institute of Chemical Biology, Jadavpur, Kolkata 700032, India.
Chaos. 2006 Jun;16(2):023111. doi: 10.1063/1.2197168.
We study the transition to phase synchronization in two diffusively coupled, nonidentical Chua oscillators. In the experiments, depending on the used parameterization, we observe several distinct routes to phase synchronization, including states of either in-phase, out-of-phase, or antiphase synchronization, which may be intersected by an intermediate desynchronization regime with large fluctuations of the frequency difference. Furthermore, we report the first experimental evidence of an anomalous transition to phase synchronization, which is characterized by an initial enlargement of the natural frequency difference with coupling strength. This results in a maximal frequency disorder at intermediate coupling levels, whereas usual phase synchronization via monotonic decrease in frequency difference sets in only for larger coupling values. All experimental results are supported by numerical simulations of two coupled Chua models.
我们研究了两个通过扩散耦合的、非 identical 的蔡氏振荡器向相位同步的转变。在实验中，根据所使用的参数化，我们观察到几种不同的相位同步途径，包括同相、异相或反相同步状态，这些状态可能会被具有频率差大幅波动的中间失同步状态所交叉。此外，我们报告了向相位同步异常转变的首个实验证据，其特征是固有频率差随耦合强度最初增大。这导致在中间耦合水平出现最大频率无序，而通常通过频率差单调减小实现的相位同步仅在更大耦合值时才会出现。所有实验结果都得到了两个耦合蔡氏模型数值模拟的支持。
