Regularization of Planar Piecewise Smooth Systems with a Heteroclinic Loop
DOI10.1142/S021812742150228XzbMath1489.34030OpenAlexW4200556984MaRDI QIDQ5016865
Publication date: 13 December 2021
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s021812742150228x
limit cyclepiecewise smooth systemfold-regular pointgrazing heteroclinic loopsliding heteroclinic loopSotomayor-Teixeira regularization
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Discontinuous ordinary differential equations (34A36) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)
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Cites Work
- Regularization of sliding global bifurcations derived from the local fold singularity of Filippov systems
- Closed poly-trajectories and Poincaré index of non-smooth vector fields on the plane
- Generic bifurcations of low codimension of planar Filippov systems
- Generic bifurcations of planar Filippov systems via geometric singular perturbations
- Dynamics and bifurcations of non-smooth mechanical systems
- Cyclicity of several planar graphics and ensembles through three singular points without generic conditions
- Local analysis of \(C\)-bifurcations in \(n\)-dimensional piecewise-smooth dynamical systems
- Homoclinic bifurcation with codimension 3
- Degenerate and non-trivial hyperbolic polycycles with two vertices
- Structurally stable discontinuous vector fields in the plane.
- A new test for stick-slip limit cycles in dry-friction oscillators with a small nonlinearity in the friction characteristic
- Non-smooth plant disease models with economic thresholds
- On the origin and bifurcations of stick-slip oscillations
- Degenerate grazing-sliding bifurcations in planar Filippov systems
- Piecewise-smooth dynamical systems. Theory and applications
- Bifurcation of limit cycles from generalized homoclinic loops in planar piecewise smooth systems
- The sliding bifurcations in planar piecewise smooth differential systems
- Problems in homoclinic bifurcation with higher dimensions
- Elementary graphics of cyclicity 1 and 2
- Centennial History of Hilbert's 16th Problem
- HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS
- One-Parameter Bifurcations in Planar Filippov Systems
- SLIDING BIFURCATIONS: A NOVEL MECHANISM FOR THE SUDDEN ONSET OF CHAOS IN DRY FRICTION OSCILLATORS
- Bifurcations and chaos in a system with impacts
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