2008/03/08 by István Z. Kiss, Istvan Z. Kiss, Yumei Zhai +1 · 1 citation
Chemistry · Computer Science · Physics and Astronomy · #Electrochemical Analysis and Applications #Nonlinear Dynamics and Pattern Formation #Spectroscopy and Quantum Chemical Studies #nlin.CD
paper · pdf · doi:10.1103/physreve.77.046204
arxiv created 2008/03/08 · openalex publication_date 2008/04/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Experiments are carried out with a globally coupled, externally forced population of limit-cycle electrochemical oscillators with an approximately unimodal distribution of heterogeneities. Global coupling induces mutually entrained (at frequency omega1) states; periodic forcing produces forced-entrained (omegaF) states. As a result of the interaction of mutual and forced entrainment, resonant cluster states occur with equal spacing of frequencies that have discretized frequencies following a resonance rule omegan congruent with nomega1-(n-1)omegaF. Resonance clustering requires an optimal, intermediate global coupling strength; at weak coupling the clusters have smaller sizes and do not strictly follow the resonance rule, while at strong coupling the population behaves similar to a single, giant oscillator.