On nonsmooth perturbations of nondegenerate planar centers

DOI10.5565/PUBLMAT_Extra14_20zbMath1323.34023OpenAlexW2027442439MaRDI QIDQ482183

Douglas Duarte Novaes

Publication date: 19 December 2014

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5565/publmat_extra14_20

zbMATH Keywords

periodic solutionaveraging methoddiscontinuous differential systemalgebraic varietynondegenerate center

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Averaging method for ordinary differential equations (34C29) Discontinuous ordinary differential equations (34A36) Periodic orbits of vector fields and flows (37C27) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (10)

Piecewise smooth dynamical systems: persistence of periodic solutions and normal forms ⋮ Limit Cycles Bifurcating from the Periodic Orbits of a Discontinuous Piecewise Linear Differentiable Center with Two Zones ⋮ Limit cycles of piecewise polynomial perturbations of higher dimensional linear differential systems ⋮ Note on limit cycles for \(m\)-piecewise discontinuous polynomial Liénard differential equations ⋮ Averaging theory at any order for computing limit cycles of discontinuous piecewise differential systems with many zones ⋮ On limit cycles bifurcating from the infinity in discontinuous piecewise linear differential systems ⋮ Limit cycles for some families of smooth and non-smooth planar systems ⋮ Birth of limit cycles for a class of continuous and discontinuous differential systems in (d+ 2)–dimension ⋮ Limit cycles in piecewise polynomial systems allowing a non-regular switching boundary ⋮ On the Hilbert number for piecewise linear vector fields with algebraic discontinuity set

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