Direct transition from a stable equilibrium to quasiperiodicity in non-smooth systems
type: Item
instance of: scholarly article
title: Direct transition from a stable equilibrium to quasiperiodicity in non-smooth systems
zbMATH Open document ID: 1220.37031
author: Zhanybai T. Zhusubaliyev
author: Erik Mosekilde
published in: Physics Letters. A
publication date: 2011-09-02T00:00:00Z
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 37D35
Mathematics Subject Classification ID: 37N35
Mathematics Subject Classification ID: 37B55
Mathematics Subject Classification ID: 37J15
zbMATH DE Number: 5945387
zbMATH Keywords: piecewise-smooth systems
zbMATH Keywords: border-collision bifurcations
zbMATH Keywords: equilibrium point
zbMATH Keywords: quasiperiodicity
zbMATH Keywords: two-dimensional torus
describes a project that uses: SlideCont
MaRDI profile type: Publication
full work available at URL: j.physleta.2007.08.077
OpenAlex ID: W2134785028
cites work: Q4435200
cites work: Nonsmooth mechanics. Models, dynamics and control.
cites work: Numerical sliding bifurcation analysis: an application to a relay control system
cites work: Border-collision bifurcations in a dynamic management game
cites work: Q4856759
cites work: Border-collision bifurcations including ``period two to period three'' for piecewise smooth systems
cites work: Local analysis of \(C\)-bifurcations in \(n\)-dimensional piecewise-smooth dynamical systems
cites work: Robust Chaos
cites work: Bifurcations in two-dimensional piecewise smooth maps -- theory and applications in switching circuits.
cites work: Border-collision bifurcations on a two-dimensional torus
cites work: Bifurcation Analysis of Switched Dynamical Systems With Periodically Moving Borders
cites work: Local analysis of co-dimension-one and co-dimension-two grazing bifurcations in impact micro\-actuators
cites work: A codimension-two scenario of sliding solutions in grazing–sliding bifurcations
cites work: TWO-PARAMETER DISCONTINUITY-INDUCED BIFURCATIONS OF LIMIT CYCLES: CLASSIFICATION AND OPEN PROBLEMS
cites work: Bifurcations in nonlinear discontinuous systems
cites work: Low-velocity impacts of quasiperiodic oscillations.
cites work: Torus birth bifurcations in a DC/DC converter
cites work: Border collision route to quasiperiodicity: Numerical investigation and experimental confirmation
cites work: Birth of bilayered torus and torus breakdown in a piecewise-smooth dynamical system
DOI: 10.1016/J.PHYSLETA.2007.08.077
description: scientific article; zbMATH DE number 5945387