Periodic orbits for double regularization of piecewise smooth systems with a switching manifold of codimension two
DOI10.3934/dcdsb.2021080zbMath1491.34031OpenAlexW3134934504MaRDI QIDQ2069748
Publication date: 21 January 2022
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2021080
regularizationasymptotic stabilitylimit cyclepiecewise smooth systemscodimension two switching manifold
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) Stability of solutions to ordinary differential equations (34D20) Discontinuous ordinary differential equations (34A36) Singular perturbations for ordinary differential equations (34E15)
Cites Work
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- Regularization of sliding global bifurcations derived from the local fold singularity of Filippov systems
- Piecewise smooth systems near a co-dimension 2 discontinuity manifold: can one say what should happen?
- Closed poly-trajectories and Poincaré index of non-smooth vector fields on the plane
- Convergence of continuous approximations for discontinuous ODEs
- Periodic orbits for planar piecewise smooth systems with a line of discontinuity
- Generic bifurcations of low codimension of planar Filippov systems
- Fundamental matrix solutions of piecewise smooth differential systems
- Dynamics and bifurcations of non-smooth mechanical systems
- Uniqueness of Filippov sliding vector field on the intersection of two surfaces in \(\mathbb R^3\) and implications for stability of periodic orbits
- Cones of rank 2 and the Poincaré-Bendixson property for a new class of monotone systems
- Stable periodic orbits for a class of three dimensional competitive systems
- Structurally stable discontinuous vector fields in the plane.
- Smooth to discontinuous systems: a geometric and numerical method for slow-fast dynamics
- Periodic orbits of planar discontinuous system under discretization
- Solutions leaving a codimension-\(2\) sliding
- Bounding the number of limit cycles of discontinuous differential systems by using Picard-Fuchs equations
- On Poincaré-Bendixson theorem and non-trivial minimal sets in planar nonsmooth vector fields
- Regularization around a generic codimension one fold-fold singularity
- Limit cycles for regularized piecewise smooth systems with a switching manifold of codimension two
- A Filippov sliding vector field on an attracting co-dimension 2 discontinuity surface, and a limited loss-of-attractivity analysis
- Regularizing piecewise smooth differential systems: co-dimension 2 discontinuity surface
- A comparison of Filippov sliding vector fields in codimension 2
- Limit cycles for regularized discontinuous dynamical systems with a hyperplane of discontinuity
- Piecewise-smooth dynamical systems. Theory and applications
- Regularization of discontinuous foliations: blowing up and sliding conditions via Fenichel theory
- The sliding bifurcations in planar piecewise smooth differential systems
- Sliding vector fields via slow-fast systems
- On continuous approximation of discontinuous systems
- Regularization of discontinuous vector fields on \({\mathbb{R}^3}\) via singular perturbation
- Sliding Bifurcations of Filippov Two Stage Pest Control Models with Economic Thresholds
- Classification of Hidden Dynamics in Discontinuous Dynamical Systems
- Regularizations of Two-Fold Bifurcations in Planar Piecewise Smooth Systems Using Blowup
- Study of Singularities in Nonsmooth Dynamical Systems via Singular Perturbation
- Sliding and Crossing Dynamics in Extended Filippov Systems
- Exit from sliding in piecewise-smooth flows: Deterministic vs. determinacy-breaking
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