Three Crossing Limit Cycles in a 3D-Filippov System Having a T-Singularity

DOI10.1142/S0218127422500067zbMath1497.34054OpenAlexW4207052571MaRDI QIDQ5064569

Rony Cristiano, João C. R. Medrado, Bruno Rodrigues de Freitas

Publication date: 16 March 2022

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127422500067

zbMATH Keywords

bifurcationFilippov systemfirst return mapcrossing limit cycleTeixeira singularity

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Discontinuous ordinary differential equations (34A36)

Cites Work

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• Piecewise linear perturbations of a linear center
• On the number of limit cycles in general planar piecewise linear systems
• On the Teixeira singularity bifurcation in a DC-DC power electronic converter
• Bifurcation and chaos near sliding homoclinics
• On topological stability of divergent diagrams of folds
• Non-smooth dynamical systems
• Stability conditions for discontinuous vector fields
• Stability conditions in piecewise smooth dynamical systems at a two-fold singularity
• Birth of an arbitrary number of T-singularities in 3D piecewise smooth vector fields
• Bifurcations at a degenerate two-fold singularity and crossing limit cycles
• A general mechanism to generate three limit cycles in planar Filippov systems with two zones
• The instantaneous local transition of a stable equilibrium to a chaotic attractor in piecewise-smooth systems of differential equations
• Piecewise-smooth dynamical systems. Theory and applications
• The two-fold singularity of nonsmooth flows: leading order dynamics in \(n\)-dimensions
• Discontinuity-induced bifurcations of piecewise smooth dynamical systems
• Nondeterministic Chaos, and the Two-fold Singularity in Piecewise Smooth Flows
• The Two-Fold Singularity of Discontinuous Vector Fields
• Revisiting the Teixeira Singularity Bifurcation Analysis: Application to the Control of Power Converters
• Structural Stability of the Two-Fold Singularity
• PIECEWISE SMOOTH REVERSIBLE DYNAMICAL SYSTEMS AT A TWO-FOLD SINGULARITY
• LIMIT CYCLE BIFURCATION IN 3D CONTINUOUS PIECEWISE LINEAR SYSTEMS WITH TWO ZONES: APPLICATION TO CHUA'S CIRCUIT