Regularization of Isolated Codimension-2 Discontinuity Sets
From MaRDI portal
Publication:5023540
DOI10.1137/21M142157XzbMath1494.34073arXiv2105.12622OpenAlexW4205769041MaRDI QIDQ5023540
Noah Cheesman, S. John Hogan, K. Uldall Kristiansen
Publication date: 24 January 2022
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.12622
regularizationblowupgeometric singular perturbation theorypiecewise-smooth dynamical systemsspatial Coulomb friction
Singularities, blow-up, stress concentrations for dynamical problems in solid mechanics (74H35) Problems involving a system of particles with friction (70F40) Discontinuous ordinary differential equations (34A36) Singular perturbations for ordinary differential equations (34E15)
Related Items
The nonsmooth dynamics of combined slip and spin motion under dry friction, Bifurcations of the limit directions in extended Filippov systems
Cites Work
- Unnamed Item
- Unnamed Item
- Multiple time scale dynamics
- The moments sliding vector field on the intersection of two manifolds
- Steady solutions of the Kuramoto-Sivashinsky equation
- Geometric singular perturbation theory for ordinary differential equations
- A Filippov sliding vector field on an attracting co-dimension 2 discontinuity surface, and a limited loss-of-attractivity analysis
- The regularized visible fold revisited
- Piecewise-smooth dynamical systems. Theory and applications
- Resolution of the piecewise smooth visible-invisible two-fold singularity in \(\mathbb {R}^3\) using regularization and blowup
- Sliding motion on discontinuity surfaces of high co-dimension. A construction for selecting a Filippov vector field
- Extending Geometric Singular Perturbation Theory to Nonhyperbolic Points---Fold and Canard Points in Two Dimensions
- Dynamics at a Switching Intersection: Hierarchy, Isonomy, and Multiple Sliding
- Existence of a Reversible T-Point Heteroclinic Cycle in a Piecewise Linear Version of the Michelson System
- Sliding and Crossing Dynamics in Extended Filippov Systems
- Canards in Stiction: On Solutions of a Friction Oscillator by Regularization
- Quasi-Continuous MIMO Sliding-Mode Control
- Canard cycles and center manifolds
- Hidden Dynamics
- A Stiction Oscillator under Slowly Varying Forcing: Uncovering Small Scale Phenomena using Blowup
- Regularization and Geometry of Piecewise Smooth Systems with Intersecting Discontinuity Sets
- On the Use of Blowup to Study Regularizations of Singularities of Piecewise Smooth Dynamical Systems in $\mathbb{R}^3$
