2018/03/28 by Ricardo L. Viana, Viana, Ricardo Luiz, Raul P. Aristides +1
Computer Science · Engineering · #Adaptation and Self-Organizing Systems (nlin.AO) #FOS: Physical sciences #Molecular Junctions and Nanostructures #Nonlinear Dynamics and Pattern Formation
paper · pdf · doi:10.48550/arxiv.1803.10795
openalex publication_date 2018/03/28 · openalex created_date 2022/09/04 · openalex updated_date 2026/07/28
A general theory is presented for the coupling among nonlinear oscillators\nmediated by a diffusing chemical substance. We extend a model originally\ndeveloped by Kuramoto, who supposed that the diffusion characteristic time is\nmuch shorter than the oscillator main period, such that diffusion occurs very\nfast. We eliminate this constraint and consider diffusion to have an arbitrary\ncharacteristic time, by solving exactly the diffusion equation using suitable\nGreen functions. We present results in one, two and three dimension, with and\nwithout boundary conditions.\n