Period doubling in a periodically forced Belousov-Zhabotinsky reaction

作     者：Bradley Marts David J. W. Simpson Aric Hagberg Anna L. Lin 

作者机构：Center for Nonlinear and Complex Systems and Department of Physics Duke University Durham North Carolina 27708 USA Department of Applied Mathematics University of Colorado at Boulder Boulder Colorado 80309 USA Mathematical Modeling and Analysis Theoretical Division Los Alamos National Laboratory Los Alamos New Mexico 87545 USA 

出 版 物：《Physical Review E》 (物理学评论E辑：统计、非线性和软体物理学)

年 卷 期：2007年第76卷第2期

页      面：026213-026213页

核心收录：

学科分类：07[理学] 070203[理学-原子与分子物理] 0702[理学-物理学] 

主　　题：VANDERPOL OSCILLATOR DEVILS STAIRCASE SPIRAL WAVES DRIVEN OSCILLATOR CHEMICAL-SYSTEM ARNOLD TONGUES CHAOS BIFURCATIONS PATTERNS DEFECTS 

摘      要：Using an open-flow reactor periodically perturbed with light, we observe subharmonic frequency locking of the oscillatory Belousov-Zhabotinsky chemical reaction at one-sixth the forcing frequency (6:1) over a region of the parameter space of forcing intensity and forcing frequency where the Farey sequence dictates we should observe one-third the forcing frequency (3:1). In this parameter region, the spatial pattern also changes from slowly moving traveling waves to standing waves with a smaller wavelength. Numerical simulations of the FitzHugh-Nagumo equations show qualitative agreement with the experimental observations and indicate that the oscillations in the experiment are a result of period doubling.