A Filippov sliding vector field on an attracting co-dimension 2 discontinuity surface, and a limited loss-of-attractivity analysis
From MaRDI portal
Publication:1937370
DOI10.1016/j.jde.2012.11.007zbMath1275.34018OpenAlexW2077245514MaRDI QIDQ1937370
Luca Dieci, Luciano Lopez, Cinzia Elia
Publication date: 28 February 2013
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2012.11.007
attractivitysliding modesFilipov's theorydiscontinuity surfacediscontinuous ordinary differential equations
Related Items (30)
Direct event location techniques based on Adams multistep methods for discontinuous ODEs ⋮ New global bifurcation diagrams for piecewise smooth systems: transversality of homoclinic points does not imply chaos ⋮ Hidden dynamics in models of discontinuity and switching ⋮ Piecewise smooth systems near a co-dimension 2 discontinuity manifold: can one say what should happen? ⋮ A critical case for the spiral stability for \(2\times 2\) discontinuous systems and an application to recursive neural networks ⋮ Sliding and Crossing Dynamics in Extended Filippov Systems ⋮ Exit from sliding in piecewise-smooth flows: Deterministic vs. determinacy-breaking ⋮ On the inverse of some sign matrices and on the moments sliding vector field on the intersection of several manifolds: nodally attractive case ⋮ Uniqueness of Filippov sliding vector field on the intersection of two surfaces in \(\mathbb R^3\) and implications for stability of periodic orbits ⋮ Structural stability for 2-dimensional piecewise smooth vector fields where the switching manifold is a double discontinuity ⋮ Bifurcation of limit cycles in piecewise-smooth systems with intersecting discontinuity surfaces ⋮ Regularizing piecewise smooth differential systems: co-dimension 2 discontinuity surface ⋮ Multiple boundaries sliding mode control applied to capacitor voltage-balancing systems ⋮ Nonlinear Behavior of a Novel Switching Jerk System ⋮ Sharp sufficient attractivity conditions for sliding on a co-dimension 2 discontinuity surface ⋮ Rosenbrock-type methods applied to discontinuous differential systems ⋮ Minimum variation solutions for sliding vector fields on the intersection of two surfaces in \(\mathbb{R}^3\) ⋮ A model for the hepatic glucose metabolism based on Hill and step functions ⋮ Path-regularization of linear neutral delay differential equations with several delays ⋮ The moments sliding vector field on the intersection of two manifolds ⋮ Limit cycles for regularized piecewise smooth systems with a switching manifold of codimension two ⋮ A comparison of Filippov sliding vector fields in codimension 2 ⋮ Sliding motion on the intersection of two manifolds: spirally attractive case ⋮ Isochronous attainable manifolds for piecewise smooth dynamical systems ⋮ Periodic orbits for double regularization of piecewise smooth systems with a switching manifold of codimension two ⋮ A note on attractivity for the intersection of two discontinuity manifolds ⋮ Slow–fast systems and sliding on codimension 2 switching manifolds ⋮ Dynamics for Systems of Screw Dislocations ⋮ Bifurcation analysis of 3D-PWS systems with two transversal switching boundaries: a case study in power electronics ⋮ Regularization of Isolated Codimension-2 Discontinuity Sets
This page was built for publication: A Filippov sliding vector field on an attracting co-dimension 2 discontinuity surface, and a limited loss-of-attractivity analysis
