Limit cycles of some families of discontinuous piecewise differential systems separated by a straight line
DOI10.1142/s0218127423501663zbMATH Open1546.34044MaRDI QIDQ6538993
Louiza Baymout, Rebiha Benterki, Jaume Llibre
Publication date: 14 May 2024
Published in: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering (Search for Journal in Brave)
isochronous centerlimit cyclediscontinuous piecewise differential systemcubic Hamiltonian differential system
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) Dynamics induced by flows and semiflows (37C10) Discontinuous ordinary differential equations (34A36) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)
Cites Work
- Unnamed Item
- Maximum number of limit cycles for certain piecewise linear dynamical systems
- On the number of limit cycles in discontinuous piecewise linear differential systems with two pieces separated by a straight line
- Area-preserving normalizations for centers of planar Hamiltonian systems
- Piecewise linear differential systems with only centers can create limit cycles?
- A general mechanism to generate three limit cycles in planar Filippov systems with two zones
- Piecewise-smooth dynamical systems. Theory and applications
- Limit cycles of planar picewise linear Hamiltonian systems without equilibrium points separated by two circles
- Neuronal Networks with Gap Junctions: A Study of Piecewise Linear Planar Neuron Models
- 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
- An Introduction to Piecewise Smooth Dynamics
- Limit cycles of piecewise differential systems with linear Hamiltonian saddles and linear centres
- Sur l'intégration algébrique des équations différentielles du premier ordre et du premier degré.
- The solution of the second part of the 16th Hilbert problem for nine families of discontinuous piecewise differential systems
- Limit cycles of discontinuous piecewise linear differential systems formed by centers or Hamiltonian without equilibria separated by irreducible cubics
Related Items (1)
This page was built for publication: Limit cycles of some families of discontinuous piecewise differential systems separated by a straight line
