Two-parameter boundary equilibrium bifurcations in 3D-Filippov systems

DOI10.1007/s00332-019-09560-5zbMath1439.34023OpenAlexW2955319508WikidataQ127566802 ScholiaQ127566802MaRDI QIDQ2282805

Rony Cristiano, Daniel Juan Pagano

Publication date: 19 December 2019

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

Full work available at URL: https://doi.org/10.1007/s00332-019-09560-5

zbMATH Keywords

sliding mode controlbifurcationsFilippov systemsbuck converterpseudo-equilibriumsliding vector fieldboundary equilibrium

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Bifurcation theory for ordinary differential equations (34C23) Control problems involving ordinary differential equations (34H05) Stability of solutions to ordinary differential equations (34D20) Discontinuous ordinary differential equations (34A36) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (10)

Complex Dynamics and Sliding Bifurcations of the Filippov Lorenz–Chen System ⋮ Bifurcation dynamics on the sliding vector field of a Filippov ecological system ⋮ Sliding dynamic in a 3-dimensional epidemiological system ⋮ A Filippov type predator prey system with selective harvesting of predator ⋮ Global stability of a Lotka-Volterra piecewise-smooth system with harvesting actions and two predators competing for one prey ⋮ Multiple boundaries sliding mode control applied to capacitor voltage-balancing systems ⋮ Hopf-like bifurcations and asymptotic stability in a class of 3D piecewise linear systems with applications ⋮ Pseudo-Hopf Bifurcation for a Class of 3D Filippov Linear Systems ⋮ Bifurcation analysis of 3D-PWS systems with two transversal switching boundaries: a case study in power electronics ⋮ Hopf bifurcation at infinity in 3D relay systems

Cites Work

• Piecewise smooth dynamical systems theory: the case of the missing boundary equilibrium bifurcations
• Generic bifurcations of low codimension of planar Filippov systems
• Limit cycle bifurcations in resonant LC power inverters under zero current switching strategy
• Stability conditions for discontinuous vector fields
• Stability conditions in piecewise smooth dynamical systems at a two-fold singularity
• On double boundary equilibrium bifurcations in piecewise smooth planar systems
• Hopf and homoclinic bifurcations on the sliding vector field of switching systems in \(\mathbb{R}^3\): a case study in power electronics
• A general mechanism to generate three limit cycles in planar Filippov systems with two zones
• Piecewise-smooth dynamical systems. Theory and applications
• Discontinuity-induced bifurcations of equilibria in piecewise-smooth and impacting dynamical systems
• Bifurcation Analysis of a DC–DC Bidirectional Power Converter Operating with Constant Power Loads
• Discontinuity-induced bifurcations of piecewise smooth dynamical systems
• NONHYPERBOLIC BOUNDARY EQUILIBRIUM BIFURCATIONS IN PLANAR FILIPPOV SYSTEMS: A CASE STUDY APPROACH
• Two-Parameter Bifurcation Analysis of the Buck Converter
• A general framework for boundary equilibrium bifurcations of Filippov systems
• Classification of boundary equilibrium bifurcations in planar Filippov systems
• One-Parameter Bifurcations in Planar Filippov Systems
• Shilnikov chaos, Filippov sliding and boundary equilibrium bifurcations
• Two Degenerate Boundary Equilibrium Bifurcations in Planar Filippov Systems
• Elements of applied bifurcation theory
• Bifurcations in nonlinear discontinuous systems
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Two-parameter boundary equilibrium bifurcations in 3D-Filippov systems