Sliding motion on the intersection of two manifolds: spirally attractive case

DOI10.1016/j.cnsns.2015.02.002zbMath1463.34050OpenAlexW1975222154MaRDI QIDQ2297466

Luca Dieci

Publication date: 20 February 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2015.02.002

zbMATH Keywords

multiplierFilippov convexificationpiecewise smooth systemssliding motionintersection of two manifoldsspiral attractivity

Mathematics Subject Classification ID

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

Related Items (12)

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 ⋮ Solutions leaving a codimension-\(2\) sliding ⋮ Exit from sliding in piecewise-smooth flows: Deterministic vs. determinacy-breaking ⋮ Uniqueness of Filippov sliding vector field on the intersection of two surfaces in \(\mathbb R^3\) and implications for stability of periodic orbits ⋮ Minimum variation solutions for sliding vector fields on the intersection of two surfaces in \(\mathbb{R}^3\) ⋮ The moments sliding vector field on the intersection of two manifolds ⋮ Isochronous attainable manifolds for piecewise smooth dynamical systems ⋮ A note on attractivity for the intersection of two discontinuity manifolds ⋮ Slow–fast systems and sliding on codimension 2 switching manifolds ⋮ Bifurcation analysis of 3D-PWS systems with two transversal switching boundaries: a case study in power electronics ⋮ An efficient algorithm for solving piecewise-smooth dynamical systems

Cites Work

• Unnamed Item
• Stability conditions for discontinuous vector fields
• A Filippov sliding vector field on an attracting co-dimension 2 discontinuity surface, and a limited loss-of-attractivity analysis
• Sliding motion on discontinuity surfaces of high co-dimension. A construction for selecting a Filippov vector field
• The two-fold singularity of nonsmooth flows: leading order dynamics in \(n\)-dimensions
• Numerical methods for nonsmooth dynamical systems. Applications in mechanics and electronics
• Dynamics at a Switching Intersection: Hierarchy, Isonomy, and Multiple Sliding

This page was built for publication: Sliding motion on the intersection of two manifolds: spirally attractive case