Resonance tongues and patterns in periodically forced reaction-diffusion systems

作     者：Anna L. Lin Aric Hagberg Ehud Meron Harry L. Swinney 

作者机构：Center for Nonlinear and Complex Systems and Department of Physics Duke University Durham North Carolina 27708 USA Mathematical Modeling and Analysis Theoretical Division Los Alamos National Laboratory Los Alamos New Mexico 87545 USA Department of Solar Energy and Environmental Physics BIDR Ben-Gurion University Sede Boker Campus 84990 Israel Physics Department Ben-Gurion University Beer Sheva 84105 Israel Center for Nonlinear Dynamics and Department of Physics The University of Texas at Austin Austin Texas 78712 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：2004年第69卷第6期

页      面：066217-066217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] 

基　　金：DOE Office of Science Advanced Computing Research program in Applied Mathematical Sciences Office of Basic Energy Sciences of the Department of Energy, (98-0129) U.S. Department of Energy, USDOE, (W-7405-ENG-36) U.S. Department of Energy, USDOE Welch Foundation United States-Israel Binational Science Foundation, BSF 

主　　题：.rotating oscillations temporal spatially periodically BZ reaction unforced forcing amplitude standing-wave near-resonant Resonance tongues forced reaction-diffusion resonant patterns spiral wave 

摘      要：Various resonant and near-resonant patterns form in a light-sensitive Belousov-Zhabotinsky (BZ) reaction in response to a spatially homogeneous time-periodic perturbation with light. The regions (tongues) in the forcing frequency and forcing amplitude parameter plane where resonant patterns form are identified through analysis of the temporal response of the patterns. Resonant and near-resonant responses are distinguished. The unforced BZ reaction shows both spatially uniform oscillations and rotating spiral waves, while the forced system shows patterns such as standing-wave labyrinths and rotating spiral waves. The patterns depend on the amplitude and frequency of the perturbation, and also on whether the system responds to the forcing near the uniform oscillation frequency or the spiral wave frequency. Numerical simulations of a forced FitzHugh-Nagumo reaction-diffusion model show both resonant and near-resonant patterns similar to the BZ chemical system.