Computational techniques to locate crossing/sliding regions and their sets of attraction in non-smooth dynamical systems
type: Item
instance of: scholarly article
title: Computational techniques to locate crossing/sliding regions and their sets of attraction in non-smooth dynamical systems
zbMATH Open document ID: 1398.65159
author: A. Colombo
author: Nicoletta Del Buono
author: Luciano Lopez
author: Alessandro Pugliese
published in: Discrete and Continuous Dynamical Systems. Series B
publication date: 2018-09-05T00:00:00Z
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34L99
zbMATH DE Number: 6932175
zbMATH Keywords: Filippov systems
zbMATH Keywords: crossing/sliding regions
zbMATH Keywords: continuation methods
zbMATH Keywords: sets of attraction of crossing/sliding regions
zbMATH Keywords: reconstruction of surfaces
describes a project that uses: galepu
describes a project that uses: MATCONT
describes a project that uses: SlideCont
describes a project that uses: CL_MATCONT
describes a project that uses: Matlab
describes a project that uses: DISODE45
MaRDI profile type: Publication
full work available at URL: dcdsb.2018166
OpenAlex ID: W2807504560
cites work: Numerical methods for nonsmooth dynamical systems. Applications in mechanics and electronics
cites work: Analysis of a model for precipitation and dissolution coupled with a Darcy flux
cites work: INTEGRATION-FREE ANALYSIS OF NONSMOOTH LOCAL DYNAMICS IN PLANAR FILIPPOV SYSTEMS
cites work: Topological classification of limit cycles of piecewise smooth dynamical systems and its associated non-standard bifurcations
cites work: On the continuous extension of Adams-Bashforth methods and the event location in discontinuous ODEs
cites work: On the solution of discontinuous IVPs by adaptive Runge--Kutta codes
cites work: Algorithm 968
cites work: Piecewise-linear models of genetic regulatory networks: equilibria and their stability
cites work: Robust approximation algorithms for the detection of attraction basins in dynamical systems
cites work: Stable Manifolds of Saddles in Piecewise Smooth Systems
cites work: Nondeterministic Chaos, and the Two-fold Singularity in Piecewise Smooth Flows
cites work: The two-fold singularity of nonsmooth flows: leading order dynamics in \(n\)-dimensions
cites work: On the Equivalence between the Sigmoidal Approach and Utkin's Approach for Piecewise-Linear Models of Gene Regulatory Networks
cites work: Direct event location techniques based on Adams multistep methods for discontinuous ODEs
cites work: SlideCont: An Auto97 driver for bifurcation analysis of Filippov systems
cites work: MATCONT
cites work: Uniqueness of Filippov sliding vector field on the intersection of two surfaces in \(\mathbb R^3\) and implications for stability of periodic orbits
cites work: Fundamental matrix solutions of piecewise smooth differential systems
cites work: One-sided direct event location techniques in the numerical solution of discontinuous differential systems
cites work: Q3446085
cites work: Q5513216
cites work: Computation of the separatrix of basins of attraction in a non-smooth dynamical system
cites work: Computation of smooth manifolds via rigorous multi-parameter continuation in infinite dimensions
cites work: Numerical Methods for Bifurcations of Dynamical Equilibria
cites work: Q4531870
cites work: The partition of unity finite element method: basic theory and applications
cites work: An event-driven method to simulate Filippov systems with accurate computing of sliding motions
cites work: Analysis and generic properties of gene regulatory networks with graded response functions
cites work: Modeling and control of impact in mechanical systems: theory and experimental results
cites work: Q4426083
Wikidata QID: Q129625770
DOI: 10.3934/DCDSB.2018166
description: scientific article; zbMATH DE number 6932175