Limit cycles of the discontinuous piecewise differential systems separated by a nonregular line and formed by a linear center and a quadratic one
DOI10.1142/S0218127424500585zbMATH Open1546.34043MaRDI QIDQ6538955
Rebiha Benterki, Louiza Baymout, 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)
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) 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) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- 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
- 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
- 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
- Qualitative theory of planar differential systems
- Lower bounds for the maximum number of limit cycles of discontinuous piecewise linear differential systems with a straight line of separation
- More Than Three Limit Cycles in 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
- Neuronal Networks with Gap Junctions: A Study of Piecewise Linear Planar Neuron Models
- Bifurcation Sets of Continuous Piecewise Linear Systems with Two Zones
- Limit Cycles in Discontinuous Planar Piecewise Linear Systems Separated by a Nonregular Line of Center–Center Type
- The Extended 16th Hilbert Problem for Discontinuous Piecewise Linear Centers Separated by a Nonregular Line
- An Introduction to Piecewise Smooth Dynamics
- A Simple Solution to the Braga–Mello Conjecture
- Canonical Discontinuous Planar Piecewise Linear Systems
- Limit cycles of continuous piecewise differential systems separated by a parabola and formed by a linear center and a quadratic center
- The limit cycles of a class of piecewise differential systems
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