Slow Manifold Structure and the Emergence of Mixed-Mode Oscillations

Details Slow Manifold Structure and the Emergence of Mixed-Mode Oscillations Slow Manifold Structure and the Emergence of Mixed-Mode Oscillations

1997-06-26

arxiv.org/abs/chao-dyn/9706029v1

J.Chem.Phys. V.107, N 7 (1997)

Nonlinear Sciences

Chaotic Dynamics

RevTex, 10 eps fig., 9 pages

Scientific paper

10.1063/1.474647

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.

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