Birth of limit cycles for a class of continuous and discontinuous differential systems in (d+ 2)–dimension

DOI10.1080/14689367.2015.1102868zbMath1374.34035arXiv1501.01987OpenAlexW1584814725MaRDI QIDQ2820297

Jaume Llibre, Iris O. Zeli, Marco Antonio Teixeira

Publication date: 15 September 2016

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.01987

zbMATH Keywords

limit cycleperiodic orbitaveraging methodpolynomial differential systemdiscontinuous polynomial differential systems

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) Averaging method for ordinary differential equations (34C29) 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) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (9)

Bifurcation methods of periodic orbits for piecewise smooth systems ⋮ The number of limit cycles for some polynomial systems with multiple parameters ⋮ Bifurcation of periodic orbits by perturbing high-dimensional piecewise smooth integrable systems ⋮ Limit cycles of piecewise polynomial perturbations of higher dimensional linear differential systems ⋮ Bifurcation from Periodic Orbits of n-Dimensional Piecewise Smooth Differential Systems with Two Switching Planes ⋮ Bifurcation and number of periodic solutions of some \(2n\)-dimensional systems and its application ⋮ Bifurcation of multiple periodic solutions for a class of nonlinear dynamical systems in \((m+4)\)-dimension ⋮ Bifurcation and number of subharmonic solutions of a 4D non-autonomous slow-fast system and its application ⋮ Melnikov functions of arbitrary order for piecewise smooth differential systems in \(\mathbb{R}^n\) and applications

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