Frequency Precision of Two-Dimensional Lattices of Coupled Oscillators with Spiral Patterns

Autor:	Allen, John-Mark A., Cross, M. C.
Rok vydání:	2013
Předmět:	Nonlinear Sciences - Pattern Formation and Solitons Condensed Matter - Mesoscale and Nanoscale Physics
Zdroj:	Phys. Rev. E 87, 052902 (2013)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevE.87.052902
Popis:	Two-dimensional lattices of N synchronized oscillators with reactive coupling are considered as high-precision frequency sources in the case where a spiral pattern is formed. The improvement of the frequency precision is shown to be independent of N for large N, unlike the case of purely dissipative coupling where the improvement is proportional to N, but instead depends on just those oscillators in the core of the spiral that acts as the source region of the waves. Our conclusions are based on numerical simulations of up to N=29929 oscillators, and analytic results for a continuum approximation to the lattice in an infinite system. We derive an expression for the dependence of the frequency precision on the reactive component of the coupling constant, depending on a single parameter given by fitting the frequency of the spiral waves to the numerical simulations. Comment: 7 pages, 6 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1303.1548 Zobrazit plný text záznamu View this record from Arxiv