Limit cycles of generic piecewise center-type vector fields in \(\mathbb{R}^3\) separated by either one plane or by two parallel planes
DOI10.1016/j.bulsci.2022.103173zbMath1505.37060OpenAlexW4285601516WikidataQ113878779 ScholiaQ113878779MaRDI QIDQ2166189
Yovani Villanueva, Jaume Llibre, Rodrigo D. Euzébio
Publication date: 24 August 2022
Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.bulsci.2022.103173
limit cyclesFilippov vector fieldscontinuous piecewise vector fieldsdiscontinuous piecewise vector fields
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Discontinuous ordinary differential equations (34A36) Simulation of dynamical systems (37M05) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Stability theory for smooth dynamical systems (37C75)
Cites Work
- Maximum number of limit cycles for certain piecewise linear dynamical systems
- Piecewise linear perturbations of a linear center
- On the number of limit cycles in general planar piecewise linear systems
- On the number of limit cycles in discontinuous piecewise linear differential systems with two pieces separated by a straight line
- Instability of equilibria in dimension three
- Piecewise linear differential systems with only centers can create limit cycles?
- Limit cycles for discontinuous planar piecewise linear differential systems separated by one straight line and having a center
- Piecewise linear differential systems without equilibria produce limit cycles?
- The pseudo-Hopf bifurcation for planar discontinuous piecewise linear differential systems
- On limit cycles bifurcating from the infinity in discontinuous piecewise linear differential systems
- On the birth of limit cycles for non-smooth dynamical systems
- On the number of limit cycles in general planar piecewise linear systems of node-node types
- Limit cycles of piecewise differential equations on the cylinder
- Piecewise linear differential systems with two real saddles
- Existence of limit cycles in general planar piecewise linear systems of saddle-saddle dynamics
- A general mechanism to generate three limit cycles in planar Filippov systems with two zones
- Piecewise-smooth dynamical systems. Theory and applications
- Limit cycles in a family of discontinuous piecewise linear differential systems with two zones in the plane
- On the existence and uniqueness of limit cycles in planar continuous piecewise linear systems without symmetry
- Planar systems of piecewise linear differential equations with a line of discontinuity
- LOWER BOUNDS FOR THE MAXIMUM NUMBER OF LIMIT CYCLES OF DISCONTINUOUS PIECEWISE LINEAR DIFFERENTIAL SYSTEMS WITH A STRAIGHT LINE OF SEPARATION
- Resonance near border-collision bifurcations in piecewise-smooth, continuous maps
- Limit Cycles Bifurcating from the Periodic Orbits of a Discontinuous Piecewise Linear Differentiable Center with Two Zones
- Bifurcation Sets of Continuous Piecewise Linear Systems with Two Zones
- The 16th Hilbert problem for discontinuous piecewise isochronous centers of degree one or two separated by a straight line
- Canonical Discontinuous Planar Piecewise Linear Systems
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Limit cycles of generic piecewise center-type vector fields in \(\mathbb{R}^3\) separated by either one plane or by two parallel planes
