On the Hilbert number for piecewise linear vector fields with algebraic discontinuity set

DOI10.1016/j.physd.2022.133523OpenAlexW4295983920WikidataQ114141862 ScholiaQ114141862MaRDI QIDQ2083758

Douglas Duarte Novaes

Publication date: 11 October 2022

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.02019

zbMATH Keywords

limit cyclesMelnikov theoryFilippov systemspiecewise linear differential systemsHilbert numberalgebraic discontinuity set

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) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Related Items (2)

Preface to VSI: advances in nonsmooth dynamics ⋮ Limit cycles in piecewise polynomial Hamiltonian systems allowing nonlinear switching boundaries

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