On the number of limit cycles bifurcating from the linear center with a cubic switching curve

DOI10.1007/s12346-024-00986-1OpenAlexW4392809662MaRDI QIDQ6123747

No author found.

Publication date: 8 April 2024

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-024-00986-1

zbMATH Keywords

switching curvelimit cycleMelnikov functionpiecewise smoothECT-system

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX) Ordinary differential equations (34-XX)

Cites Work

• Bifurcation of limit cycles by perturbing a piecewise linear Hamiltonian system with a homoclinic loop
• Limit cycles of discontinuous piecewise polynomial vector fields
• Bounding the number of zeros of certain abelian integrals
• Limit cycles by perturbing quadratic isochronous centers inside piecewise polynomial differential systems
• Limit cycle bifurcations of piecewise smooth near-Hamiltonian systems with a switching curve
• Limit cycles appearing from the perturbation of differential systems with multiple switching curves
• On the number of limit cycles bifurcating from the linear center with an algebraic switching curve
• On the limit cycles of a class of discontinuous piecewise linear differential systems
• Bifurcation of limit cycles by perturbing piecewise non-Hamiltonian systems with nonlinear switching manifold
• Limit cycles for discontinuous quadratic differential systems with two zones
• A linear estimate of the number of limit cycles for some planar piecewise smooth quadratic differential system
• On extended Chebyshev systems with positive accuracy
• Limit cycle bifurcations in perturbations of planar piecewise smooth systems with multiply lines of critical points
• Melnikov analysis in nonsmooth differential systems with nonlinear switching manifold
• On piecewise linear differential systems with \(n\) limit cycles of arbitrary multiplicities in two zones
• Global dynamics of a piecewise smooth system for brain lactate metabolism
• Limit cycles of discontinuous piecewise quadratic and cubic polynomial perturbations of a linear center
• A Chebyshev criterion for Abelian integrals
• Limit Cycles for Discontinuous Planar Piecewise Linear Differential Systems Separated by an Algebraic Curve
• Remarks on 16th weak Hilbert problem forn 2*
• The Exact Bound of the Number of Limit Cycles Bifurcating from the Global Nilpotent Center with a Nonlinear Switching Curve
• On the 16th Hilbert problem for discontinuous piecewise polynomial Hamiltonian systems
• The limit cycles of a class of piecewise differential systems
• Unnamed Item
• Unnamed Item