## Double Hopf Bifurcation with Huygens Symmetry

- Petko M. Kitanov, William F. Langford, Allan R. Willms
- SIAM J. Applied Dynamical Systems
- 2013

A new mechanism responsible for generating regular and irregular bursts of large dynamic range near onset of an oscillatory instability is identified. The bursts are present in systems with nearly square symmetry and are the result of heteroclinic cycles involving infinite amplitude states created when the square symmetry is broken. All possible cycles of… (More)

@inproceedings{Moehlis1999BurstsIO,
title={Bursts in oscillatory systems with broken D4 symmetry},
author={Jeff Moehlis and Edgar Knobloch},
year={1999}
}