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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/24036

Title: Box Dimension and Cyclicity of Canard Cycles
Authors: Huzak, Renato
Issue Date: 2017
Citation: Qualitative Theory of Dynamical Systems,, p. 1-19
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.
URI: http://hdl.handle.net/1942/24036
DOI: 10.1007/s12346-017-0248-x
ISSN: 1575-5460
Category: A1
Type: Journal Contribution
Appears in Collections: Research publications

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