Limit Cycles of a Class of Piecewise Smooth Liénard Systems

DOI10.1142/S0218127416500097zbMath1334.34079arXiv1511.06976MaRDI QIDQ2800694

Lijuan Sheng

Publication date: 18 April 2016

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.06976

zbMATH Keywords

limit cyclesMelnikov functionpiecewisePoincaré bifurcation

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)

Related Items (2)

Limit cycles via higher order perturbations for some piecewise differential systems ⋮ Limit cycles in piecewise polynomial systems allowing a non-regular switching boundary

Cites Work

• Unnamed Item
• Limit cycle bifurcations by perturbing piecewise smooth Hamiltonian systems with multiple parameters
• Limit cycle bifurcations in a class of near-Hamiltonian systems with multiple parameters
• Uniqueness of limit cycles for Liénard differential equations of degree four
• Estimating the number of limit cycles in polynomial systems
• Averaging methods for finding periodic orbits via Brouwer degree.
• New lower bounds for the Hilbert number of polynomial systems of Liénard type
• Limit cycles near generalized homoclinic and double homoclinic loops in piecewise smooth systems
• Limit cycles in discontinuous classical Liénard equations
• BIFURCATION OF LIMIT CYCLES BY PERTURBING PIECEWISE HAMILTONIAN SYSTEMS

This page was built for publication: Limit Cycles of a Class of Piecewise Smooth Liénard Systems