Uniqueness of Filippov sliding vector field on the intersection of two surfaces in \(\mathbb R^3\) and implications for stability of periodic orbits

DOI10.1007/s00332-015-9265-6zbMath1333.34022OpenAlexW1133320253MaRDI QIDQ897167

Luca Dieci, Luciano Lopez, Cinzia Elia

Publication date: 17 December 2015

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00332-015-9265-6

zbMATH Keywords

stabilityperiodic orbitFilippov convexificationorbital equivalence

Mathematics Subject Classification ID

Ordinary differential inclusions (34A60) Discontinuous ordinary differential equations (34A36)

Related Items (5)

Piecewise smooth systems near a co-dimension 2 discontinuity manifold: can one say what should happen? ⋮ Computational techniques to locate crossing/sliding regions and their sets of attraction in non-smooth dynamical systems ⋮ Minimum variation solutions for sliding vector fields on the intersection of two surfaces in \(\mathbb{R}^3\) ⋮ Limit cycles for regularized piecewise smooth systems with a switching manifold of codimension two ⋮ Periodic orbits for double regularization of piecewise smooth systems with a switching manifold of codimension two

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A survey of numerical methods for IVPs of ODEs with discontinuous right-hand side
• The moments sliding vector field on the intersection of two manifolds
• Fundamental matrix solutions of piecewise smooth differential systems
• Jumps of the fundamental solution matrix in discontinuous systems and applications
• A Filippov sliding vector field on an attracting co-dimension 2 discontinuity surface, and a limited loss-of-attractivity analysis
• A comparison of Filippov sliding vector fields in codimension 2
• Sliding motion on the intersection of two manifolds: spirally attractive case
• Regularization of discontinuous vector fields on \({\mathbb{R}^3}\) via singular perturbation
• Dynamics at a Switching Intersection: Hierarchy, Isonomy, and Multiple Sliding
• On the stability of periodic motions

This page was built for publication: Uniqueness of Filippov sliding vector field on the intersection of two surfaces in \(\mathbb R^3\) and implications for stability of periodic orbits