Regularization of discontinuous foliations: blowing up and sliding conditions via Fenichel theory
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Publication:2411371
DOI10.1016/j.jde.2017.08.042zbMath1383.34025arXiv1706.07341OpenAlexW2629694361MaRDI QIDQ2411371
Daniel Panazzolo, Paulo Ricardo da Silva
Publication date: 20 October 2017
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1706.07341
Dynamics induced by flows and semiflows (37C10) Discontinuous ordinary differential equations (34A36) Singular perturbations for ordinary differential equations (34E15)
Related Items (14)
Into higher dimensions for nonsmooth dynamical systems ⋮ Two regularizations of the grazing-sliding bifurcation giving non equivalent dynamics ⋮ Nonlinear sliding of discontinuous vector fields and singular perturbation ⋮ Dimension reduction for slow-fast, piecewise-linear ODEs and obstacles to a general theory ⋮ Piecewise-smooth slow-fast systems ⋮ Jitter in Piecewise-Smooth Dynamical Systems with Intersecting Discontinuity Surfaces ⋮ Slow-fast normal forms arising from piecewise smooth vector fields ⋮ On Differential Equations with Codimension-$n$ Discontinuity Sets ⋮ Limit cycles for some families of smooth and non-smooth planar systems ⋮ The regularized visible fold revisited ⋮ Creation of limit cycles in piecewise smooth vector fields tangent to nested tori ⋮ Periodic orbits for double regularization of piecewise smooth systems with a switching manifold of codimension two ⋮ Slow–fast systems and sliding on codimension 2 switching manifolds ⋮ Pausing for arbitrarily long times in dynamical systems
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