Three time scale singular perturbation problems and nonsmooth dynamical systems

DOI10.1090/S0033-569X-2014-01360-XzbMath1316.34059OpenAlexW2040791996MaRDI QIDQ5496476

Marco Antonio Teixeira, Paulo Ricardo da Silva, Pedro Toniol Cardin

Publication date: 2 February 2015

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0033-569x-2014-01360-x

zbMATH Keywords

singular perturbationsgeometric theorynonsmooth dynamical systemsthree time scales

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Geometric methods in ordinary differential equations (34A26) Singular perturbations of ordinary differential equations (34D15) Discontinuous ordinary differential equations (34A36) Singular perturbations for ordinary differential equations (34E15) Multiple scale methods for ordinary differential equations (34E13)

Related Items (5)

Piecewise-smooth slow-fast systems ⋮ Fenichel Theory for Multiple Time Scale Singular Perturbation Problems ⋮ Singularly perturbed problems with multi-tempo fast variables ⋮ Geometric blow-up for folded limit cycle manifolds in three time-scale systems ⋮ A Three-Scale Model of Spatio-Temporal Bursting

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