Hilbert number for a family of piecewise nonautonomous equations

DOI10.1007/s12346-023-00922-9arXiv2307.15578MaRDI QIDQ6204583

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Publication date: 28 March 2024

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

Full work available at URL: https://arxiv.org/abs/2307.15578

zbMATH Keywords

limit cycleperiodic solutionAbel equationlinear scalar piecewise odes

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear ordinary differential equations and systems (34A34) Periodic orbits of vector fields and flows (37C27) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Cites Work

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• Stability of singular limit cycles for Abel equations
• First order ordinary differential equations with several periodic solutions
• The isotopy classification of affine quartic curves.
• Some open problems in low dimensional dynamical systems
• On the study and application of limit cycles of a kind of piecewise smooth equation
• Periodic solutions of a periodic scalar piecewise ODE
• Abel-like differential equations with no periodic solutions
• Existence of at most two limit cycles for some non-autonomous differential equations
• Invariant manifolds of periodic orbits for piecewise linear three-dimensional systems
• LIMIT CYCLES FOR SOME ABEL EQUATIONS HAVING COEFFICIENTS WITHOUT FIXED SIGNS
• Algorithms in real algebraic geometry

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