2006/05/31 by Alexandra S. Landsman, Ira B. Schwartz
Agricultural and Biological Sciences · Computer Science · Neuroscience · Physics and Astronomy · #Ion Channels and Receptors #Nonlinear Dynamics and Pattern Formation #Plant and Biological Electrophysiology Studies #nlin.PS
paper · pdf · doi:10.1103/physreve.74.036204
published as Physical Review E 74, Art. no. 036204, 2006 · 24 pages, 9 figures, accepted to Phys. Rev. E, in press
arxiv created 2006/07/24 · openalex publication_date 2006/09/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Coupled distinct arrays of nonlinear oscillators have been shown to have a regime of high frequency, or ultraharmonic, oscillations that are at multiples of the natural frequency of individual oscillators. The coupled array architectures generate an in-phase high-frequency state by coupling with an array in an antiphase state. The underlying mechanism for the creation and stability of the ultraharmonic oscillations is analyzed. A class of interarray coupling is shown to create a stable, in-phase oscillation having frequency that increases linearly with the number of oscillators, but with an amplitude that stays fairly constant. The analysis of the theory is illustrated by numerical simulation of coupled arrays of Stuart-Landau limit cycle oscillators.