Peles Slaven, Wiesenfeld Kurt
Center for Nonlinear Science, School of Physics, Georgia Institute of Technology, Atlanta, Georgia 30332-0430, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Aug;68(2 Pt 2):026220. doi: 10.1103/PhysRevE.68.026220. Epub 2003 Aug 27.
We explore the transition to in-phase synchronization in globally coupled oscillator arrays, and compare results for van der Pol arrays with Josephson junction arrays. Our approach yields in each case an analytically tractable iterative map; the resulting stability formulas are simple because the expansion procedure identifies natural parameter groups. A third example, an array of Duffing-van der Pol oscillators, is found to be of the same fundamental type as the van der Pol arrays, but the Josephson arrays are fundamentally different owing to the absence of self-resonant interactions.
我们研究了全局耦合振荡器阵列中向同相同步的转变，并比较了范德波尔阵列和约瑟夫森结阵列的结果。我们的方法在每种情况下都产生了一个解析上易于处理的迭代映射；所得的稳定性公式很简单，因为展开过程识别出了自然参数组。第三个例子，一个达芬 - 范德波尔振荡器阵列，被发现与范德波尔阵列属于相同的基本类型，但由于不存在自共振相互作用，约瑟夫森阵列在本质上是不同的。
