Discretized fast-slow systems with canards in two dimensions
DOI10.1007/s00332-021-09778-2zbMath1484.39016arXiv1907.06574OpenAlexW4205892506MaRDI QIDQ2073969
Matteo Petrera, Christian Kuehn, Maximilian Engel, Yuri Borisovich Suris
Publication date: 3 February 2022
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.06574
mapsdiscretizationinvariant manifoldscanardsblow-up methodslow manifoldsKahan discretizationloss of normal hyperbolicity
Bifurcations of singular points in dynamical systems (37G10) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Discrete version of topics in analysis (39A12) Computational methods for bifurcation problems in dynamical systems (37M20) Singular perturbations for ordinary differential equations (34E15) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Bifurcation theory for difference equations (39A28) Computational methods for invariant manifolds of dynamical systems (37M21)
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