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10 items by relevance
1 Conference paper

Regularization of Piecewise Smooth Two-Folds

Kristiansen, Kristian Uldall; Hogan, S. John

Year: 2015

Language: English

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2 Journal article

Regularizations of two-fold bifurcations in planar piecewise smooth systems using blowup

Kristiansen, Kristian Uldall; Hogan, S. J.

S I a M Journal on Applied Dynamical Systems — 2015, Volume 14, Issue 4, pp. 1731-1786

We use blowup to study the regularization of codimension one two-fold singularities in planar piecewise smooth (PWS) dynamical systems. We focus on singular canards, pseudo-equlibria and limit cycles that can occur in the PWS system. Using the regularization of Sotomayor and Teixeira [30], we show

Year: 2015

Language: English

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akc bdim gljf poenh
3 Preprint article

Regularizations of two-fold bifurcations in planar piecewise smooth systems using blow up

Kristiansen, K. Uldall; Hogan, S. J.

We use blowup to study the regularization of codimension one two-fold singularities in planar piecewise smooth (PWS) dynamical systems. We focus on singular canards, pseudo-equlibria and limit cycles that can occur in the PWS system. Using the regularization of Sotomayor and Teixeira

Year: 2015

Language: Undetermined

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aceonjf digkhbplm
4 Preprint article

Resolution of the piecewise smooth visible-invisible two-fold singularity in $\mathbb{R}^3$ using regularization and blowup

Kristiansen, Kristian Uldall; Hogan, S. John

Two-fold singularities in a piecewise smooth (PWS) dynamical system in $\mathbb{R}^3$ have long been the subject of intensive investigation. The interest stems from the fact that trajectories which enter the two-fold are associated with forward non-uniqueness. The key questions are: How do we

Year: 2018

Language: Undetermined

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5 Journal article

Resolution of the Piecewise Smooth Visible–Invisible Two-Fold Singularity in R3 Using Regularization and Blowup

Kristiansen, K. Uldall; Hogan, S. J.

Journal of Nonlinear Science — 2018, Volume 29, Issue 2, pp. 723-787

Two-fold singularities in a piecewise smooth (PWS) dynamical system in R3 have long been the subject of intensive investigation. The interest stems from the fact that trajectories which enter the two-fold are associated with forward non-uniqueness. The key questions are: how do we continue orbits

Year: 2018

Language: English

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iepd okfhg lbjcnam

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