Geometric blow-up for folded limit cycle manifolds in three time-scale systems
DOI10.1007/s00332-023-09987-xarXiv2208.01361OpenAlexW4388723022MaRDI QIDQ6188973
S.-V. Kuntz, Samuel Jelbart, Christian Kuehn
Publication date: 12 January 2024
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.01361
oscillatory systemsgeometric singular perturbation theoryblow-up techniquelimit cycle bifurcationsthree time-scale dynamics
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Invariant manifolds for ordinary differential equations (34C45) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Singular perturbations for ordinary differential equations (34E15) Multiple scale methods for ordinary differential equations (34E13)
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