The monotonicity of the ratio of two line integrals in piecewise smooth differential systems

DOI10.1007/s12591-022-00599-7MaRDI QIDQ6568966

Rasoul Asheghi, A. Bakhshalizadeh

Publication date: 8 July 2024

Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

monotonicitylimit cycleMelnikov functionline integralpiecewise smooth differential systems

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Perturbations of ordinary differential equations (34D10) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

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