On the limit cycles of the piecewise differential systems formed by a linear focus or center and a quadratic weak focus or center

DOI10.1016/j.chaos.2022.112256zbMath1504.34072OpenAlexW4281739460MaRDI QIDQ2113070

Tayeb Salhi, Jaume Llibre

Publication date: 12 January 2023

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2022.112256

zbMATH Keywords

limit cyclequadratic centerlinear centerdiscontinuous piecewise differential systemlinear focusquadratic weak focus

Mathematics Subject Classification ID

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

• Unnamed Item
• 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
• A note on almost disturbance decoupling for nonlinear minimum phase systems
• Periodic perturbations of an isochronous center.
• Piecewise linear differential systems with only centers can create limit cycles?
• A new result on averaging theory for a class of discontinuous planar differential systems with applications
• A general mechanism to generate three limit cycles in planar Filippov systems with two zones
• Piecewise-smooth dynamical systems. Theory and applications
• On the existence and uniqueness of limit cycles in planar continuous piecewise linear systems without symmetry
• On some open problems in planar differential systems and Hilbert's 16th problem
• Qualitative theory of planar differential systems
• The planar discontinuous piecewise linear refracting systems have at most one limit cycle
• Planar systems of piecewise linear differential equations with a line of discontinuity
• Limit cycles created by piecewise linear centers

This page was built for publication: On the limit cycles of the piecewise differential systems formed by a linear focus or center and a quadratic weak focus or center