Related Experiment Video
Updated: Jun 25, 2025

Fabrication and Testing of Microfluidic Optomechanical Oscillators
Published on: May 29, 2014
Strong symmetry breaking rhythms created by folded nodes in a pair of symmetrically coupled, identical Koper
Irving R Epstein1, Naziru M Awal1, Tasso J Kaper2
1Department of Chemistry, Brandeis University, Waltham, Massachusetts 02453, USA.
Abstract:
The Koper model is a prototype system with two slow variables and one fast variable that possesses small-amplitude oscillations (SAOs), large-amplitude oscillations (LAOs), and mixed-mode oscillations (MMOs). In this article, we study a pair of identical Koper oscillators that are symmetrically coupled. Strong symmetry breaking rhythms are presented of the types SAO-LAO, SAO-MMO, LAO-MMO, and MMO-MMO, in which the oscillators simultaneously exhibit rhythms of different types. We identify the key folded nodes that serve as the primary mechanisms responsible for the strong nature of the symmetry breaking. The maximal canards of these folded nodes guide the orbits through the neighborhoods of these key points. For all of the strong symmetry breaking rhythms we present, the rhythms exhibited by the two oscillators are separated by maximal canards in the phase space of the oscillator.
Related Concept Videos
Oscillations about an Equilibrium Position
Damped Oscillations
Although friction and other non-conservative...
Forced Oscillations
IR Spectrum Peak Splitting: Symmetric vs Asymmetric Vibrations
Oscillations In An LC Circuit
Symmetry in Maxwell's Equations

