Fractal analysis of degenerate spiral trajectories of a class of ordinary differential equations

Huzak, Renato; Vlah, Domagoj; Žubrinić, Darko; Županović, Vesna

doi:10.1016/j.amc.2022.127569

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2023

2024

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Cited by 3 publications

(2 citation statements)

References 26 publications

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“…S −1 ) tends to +∞ for C < 0 (resp. C > 0), U is Minkowski nondegenerate and dim B U is given in (15) or (16).…”

Section: Motivation and Statement Of Resultsmentioning

confidence: 99%

See 1 more Smart Citation

Fractal codimension of nilpotent contact points in two-dimensional slow-fast systems

Maesschalck

Huzak

Janssens

et al. 2023

Journal of Differential Equations

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“…S −1 ) tends to +∞ for C < 0 (resp. C > 0), U is Minkowski nondegenerate and dim B U is given in (15) or (16).…”

Section: Motivation and Statement Of Resultsmentioning

confidence: 99%

“…A fractal analysis of planar contact points (e.g. slow-fast Hopf point), based on the same slow relation function approach, can be found in [5,15]. We point out that [5] gives a simple fractal method for detection of the first non-zero Lyapunov coefficient in slow-fast Hopf bifurcations.…”

Section: Introductionmentioning

confidence: 84%