Isochronous attainable manifolds for piecewise smooth dynamical systems

DOI10.1007/s12346-021-00536-zzbMath1497.34026OpenAlexW3211999890MaRDI QIDQ2052908

Fabio V. Difonzo

Publication date: 29 November 2021

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-021-00536-z

zbMATH Keywords

piecewise smooth systemsco-dimension 1 and 2Filippov sliding vector fieldisochronous manifoldspartially nodal attractivity

Mathematics Subject Classification ID

Ordinary differential inclusions (34A60) Stability and convergence of numerical methods for ordinary differential equations (65L20) Discontinuous ordinary differential equations (34A36) Invariant manifolds for ordinary differential equations (34C45)

Cites Work

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• A critical case for the spiral stability for \(2\times 2\) discontinuous systems and an application to recursive neural networks
• 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
• The moments sliding vector field on the intersection of two manifolds
• Finite time stability and stabilization of a class of continuous systems
• The converse of the Jordan curve theorem and a characterization of planar maps
• Sliding modes in control and optimization. Transl. from the Russian
• Computational techniques to locate crossing/sliding regions and their sets of attraction in non-smooth dynamical systems
• On the inverse of some sign matrices and on the moments sliding vector field on the intersection of several manifolds: nodally attractive case
• A Filippov sliding vector field on an attracting co-dimension 2 discontinuity surface, and a limited loss-of-attractivity analysis
• A note on invariant measures for Filippov systems
• Some applications of Filippov's dynamical systems
• On Filippov solutions of discontinuous DAEs of index 1
• A comparison of Filippov sliding vector fields in codimension 2
• Sliding motion on the intersection of two manifolds: spirally attractive case
• Piecewise-smooth dynamical systems. Theory and applications
• Numerical methods for nonsmooth dynamical systems. Applications in mechanics and electronics
• Mathematical model of an antiretroviral therapy to HIV via Filippov theory
• SOME DISCONTINUOUS BIFURCATIONS IN A TWO-BLOCK STICK–SLIP SYSTEM
• On the Equivalence between the Sigmoidal Approach and Utkin's Approach for Piecewise-Linear Models of Gene Regulatory Networks
• An event-driven method to simulate Filippov systems with accurate computing of sliding motions
• The Two-Fold Singularity of Discontinuous Vector Fields
• Sliding and Crossing Dynamics in Extended Filippov Systems
• Time-transformations for the event location in discontinuous ODEs
• A note on attractivity for the intersection of two discontinuity manifolds
• Nonlinear Behavior of a Novel Switching Jerk System
• Shilnikov problem in Filippov dynamical systems
• Properties of the solution set of a generalized differential equation

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