scientific article; zbMATH DE number 7329800

Publication date: 30 March 2021

Full work available at URL: http://www.math.md/publications/basm/issues/y2019-n2/13034/

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

limit cycle discontinuous differential system piecewise linear differential system continuous differential system

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Discontinuous ordinary differential equations (34A36)

Related Items (3)

On the periodic orbits of the continuous-discontinuous piecewise differential systems with three pieces separated by two parallel straight lines ⋮ Periodic orbits in piecewise Riccati vector fields ⋮ Limit cycles of discontinuous piecewise differential systems formed by linear centers in \(\mathbb{R}^2\) and separated by two circles

Cites Work

Unnamed Item
Unnamed Item
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 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
Periodic orbits of continuous and discontinuous piecewise linear differential systems via first integrals
On Hopf bifurcation in non-smooth planar systems
The qualitative analysis of a class of planar Filippov systems
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
Phase portraits of piecewise linear continuous differential systems with two zones separated by a straight line
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
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
Equivalence of the Melnikov function method and the averaging method
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
Global properties of continuous piecewise linear vector fields. Part I: Simplest case in ℝ2
Limit Cycles Bifurcating from the Periodic Orbits of a Discontinuous Piecewise Linear Differentiable Center with Two Zones
Global properties of continuous piecewise linear vector fields. Part II: Simplest symmetric case in ℝ2
Bifurcation Sets of Continuous Piecewise Linear Systems with Two Zones
Canonical Discontinuous Planar Piecewise Linear Systems

This page was built for publication: