학술논문
Phase-locking dynamics for electronic relaxation oscillators via threshold pulse-modulation: comparing experimental and analytical Arnold tongues.
Document Type
Journal
Author
Behta, Emma (1-DCKN-PA) AMS Author Profile; Goldsztein, Guillermo H. (1-GAIT) AMS Author Profile; English, L. Q. (1-DCKN-PA) AMS Author Profile
Source
Subject
70 Mechanics of particles and systems -- 70K Nonlinear dynamics
70K30Nonlinear resonances
70K30
Language
English
Abstract
Summary: ``We present detailed analytical and experimental results for a system of two comparator-based relaxation oscillators that are coupled via threshold modulation. Starting with the op-amp circuit equations, we derive parameter conditions that lead to n:1 phase-locked solutions, thereby obtaining predictions for the shapes of Arnold tongues for this system. These tongues are compared to experimental data and good agreement is found. We follow up with a stability analysis of phase-locked solutions. Specifically, we use two-timescale asymptotic analysis, and we check some results obtained therein against experimentally captured dynamics.''