On Hilbert’s 16th Problem for Some Discontinuous Piecewise Differential Systems
DOI10.1142/S0218127422501619MaRDI QIDQ5040466
A. Bakhshalizadeh, Nemat Nyamoradi
Publication date: 14 October 2022
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
crossing limit cyclediscontinuous systemsdiscontinuous piecewise differential systemsquadratic isochronous centerscubic isochronous centers
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) 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
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- 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 discontinuous piecewise linear differential systems with two pieces separated by a straight line
- 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?
- Limit cycles in a family of discontinuous piecewise linear differential systems with two zones in the plane
- Limit Cycles Bifurcating from the Periodic Orbits of a Discontinuous Piecewise Linear Differentiable Center with Two Zones
- Centennial History of Hilbert's 16th Problem
- HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS
- 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
This page was built for publication: On Hilbert’s 16th Problem for Some Discontinuous Piecewise Differential Systems
