Ultradiscrete bifurcations for one dimensional dynamical systems
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Publication:3386501
DOI10.1063/5.0012772zbMath1454.39023arXiv2004.13224OpenAlexW3021939269MaRDI QIDQ3386501
Shousuke Ohmori, Yoshihiro Yamazaki
Publication date: 4 January 2021
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.13224
Bifurcations of singular points in dynamical systems (37G10) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Bifurcation theory for difference equations (39A28)
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Ultradiscrete analogue of the van der Pol equation ⋮ Poincaré map approach to limit cycles of a simplified ultradiscrete Sel'kov model ⋮ Relation of stability and bifurcation properties between continuous and ultradiscrete dynamical systems via discretization with positivity: One dimensional cases ⋮ Indeterminate solutions of the \(p\)-ultradiscrete equation and leading term analysis ⋮ Types and stability of fixed points for positivity-preserving discretized dynamical systems in two dimensions ⋮ Unnamed Item
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