Slow manifold structure and the emergence of mixed-mode oscillations

Slow manifold structure and the emergence of mixed-mode oscillations

Publication Type:

Journal Article

Authors:

Goryachev, A.; Strizhak, P.; Kapral, R.

Source:

Journal of Chemical Physics, American Institute of Physics Inc., Volume 107, Number 8, p.2881-2889 (1997)

URL:

https://www.scopus.com/inward/record.uri?eid=2-s2.0-0000646802&doi=10.1063%2f1.474647&partnerID=40&md5=3003e1f0c63178a27ffa7929c7186fc8

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. © 1997 American Institute of Physics.