2011/06/02 by Joseph M. Starobin, Starobin, Joseph M., Vivek Varadarajan +1
Computer Science · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems #Quantum optics and atomic interactions #nlin.CD
paper · pdf · doi:10.48550/arxiv.1106.0442
6 pages, 6 figures
arxiv created 2011/06/02 · openalex publication_date 2011/06/02 · arxiv updated 2011/06/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We analyze the effects of spatially extended periodic forcing on the dynamics of one-dimensional excitation waves. Entrainment of unstable primary waves has been studied numerically for different amplitudes and frequencies of additional sub-threshold stimuli. We determined entrainment regimes under which excitation blocks were transformed into consistent 1:1 responses. These responses were spatially homogeneous and synchronized in the entire excitable medium. Compared to primary pulses, pulses entrained by secondary stimulations were stable at considerably shorter periods which decreased at higher amplitudes and greater number of secondary stimuli. Our results suggest a practical methodology for stabilization of excitation in reaction-diffusion media with regions of reduced excitability.