Janagal Lavneet, Parmananda P
Department of Physics, Indian Institute of Technology Bombay, Powai, Mumbai 400 076, India.
Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Nov;86(5 Pt 2):056213. doi: 10.1103/PhysRevE.86.056213. Epub 2012 Nov 26.
We study synchronization in an ensemble of oscillators residing in a finite two-dimensional space. The interaction between the oscillators is governed by their spatial movement. The coupling is unidirectional and is of the intermediate kind, with the spatial vision of each oscillator deciding the number of oscillators to which it is coupled. We also analyze how the extent of synchronization, characterized by the order parameter, depends upon the system parameters, such as spatial vision, spatial motion, and strength of the coupling. The model systems employed here are the Van der Pol oscillator and the Brusselator. Furthermore, for the same spatial configuration, both linear and nonlinear coupling schemes are studied and their results compared.
我们研究了位于有限二维空间中的一组振荡器的同步现象。振荡器之间的相互作用由它们的空间运动决定。耦合是单向的，属于中间类型，每个振荡器的空间视野决定了与其耦合的振荡器数量。我们还分析了以序参量为特征的同步程度如何取决于系统参数，如空间视野、空间运动和耦合强度。这里使用的模型系统是范德波尔振荡器和布鲁塞尔振子。此外，对于相同的空间配置，研究了线性和非线性耦合方案，并比较了它们的结果。
