Document Server@UHasselt >
Research publications >
Please use this identifier to cite or link to this item:
|Title: ||Box Dimension and Cyclicity of Canard Cycles|
|Authors: ||Huzak, Renato|
|Issue Date: ||2017|
|Citation: ||Qualitative Theory of Dynamical Systems, 17 (2), p. 475-493|
|Abstract: ||It is well known that the slow divergence integral is a useful tool for obtaining a bound on the cyclicity of canard cycles in planar slow–fast systems. In this paper a new approach is introduced to determine upper bounds on the number of relaxation oscillations Hausdorff-close to a balanced canard cycle in planar slow–fast systems, by computing the box dimension of one orbit of a discrete one-dimensional dynamical system (so-called slow relation function) assigned to the canard cycle.|
|Notes: ||Huzak, R (reprint author), Hasselt Univ, Campus Diepenbeek,Agoralaan Gebouw D, B-3590 Diepenbeek, Belgium.
|ISI #: ||000434286700012|
|Type: ||Journal Contribution|
|Appears in Collections: ||Research publications|
Files in This Item:
|Published version||805.82 kB||Adobe PDF|
|Peer-reviewed author version||593.51 kB||Adobe PDF|
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.