Limit cycles of 3-dimensional discontinuous piecewise differential systems formed by linear centers

DOI10.1007/s40863-021-00237-0OpenAlexW3160378316WikidataQ121842788 ScholiaQ121842788MaRDI QIDQ2054976

Jaume Llibre, Jaime R. de Moraes

Publication date: 3 December 2021

Published in: São Paulo Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40863-021-00237-0

zbMATH Keywords

periodic orbitslimit cyclesfirst integralsdiscontinuous piecewise differential systemslinear centers

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) Explicit solutions, first integrals of ordinary differential equations (34A05) 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 (1)

Limit cycles of polynomial differential systems of degree 1 and 2 on the cylinder

Cites Work

• Periodic orbits of continuous and discontinuous piecewise linear differential systems via first integrals
• Mathematical problems for the next century
• Piecewise linear differential systems with only centers can create limit cycles?
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• On the limit cycles for a class of discontinuous piecewise cubic polynomial differential systems
• Existence of limit cycles for some generalisation of the Liénard equations: the relativistic and the prescribed curvature cases.
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