Slow Manifold Structure and the Emergence of Mixed-Mode Oscillations
chao-dyn
2009-10-30 v1 Chaotic Dynamics
Abstract
A detailed study of the slow manifold of a model exhibiting mixed-mode oscillations is presented. A scenario for the emergence of mixed-mode states which does not involve phase locking on a 2-torus is constructed. We show that mixed-modes correspond to the periodic orbits embedded in the horseshoe-type strange set and demonstrate how transformations of this set determine the transitions of mixed-mode states into each other.
Keywords
Cite
@article{arxiv.chao-dyn/9706029,
title = {Slow Manifold Structure and the Emergence of Mixed-Mode Oscillations},
author = {Andrei Goryachev and Peter Strizhak and Raymond Kapral},
journal= {arXiv preprint arXiv:chao-dyn/9706029},
year = {2009}
}
Comments
RevTex, 10 eps fig., 9 pages