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http://hdl.handle.net/1942/24036
Title: | Box Dimension and Cyclicity of Canard Cycles | Authors: | HUZAK, Renato | Issue Date: | 2018 | Source: | 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. renato.huzak@uhasselt.be | Keywords: | box dimension; slow-fast systems; slow relation function; slow divergence integral | Document URI: | http://hdl.handle.net/1942/24036 | ISSN: | 1575-5460 | e-ISSN: | 1662-3592 | DOI: | 10.1007/s12346-017-0248-x | ISI #: | 000434286700012 | Rights: | © Springer International Publishing AG 2017 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2019 |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
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BoxDimSlowFast.pdf | Peer-reviewed author version | 585.01 kB | Adobe PDF | View/Open |
aaaa.pdf Restricted Access | Published version | 805.82 kB | Adobe PDF | View/Open Request a copy |
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