Coexistence of limit cycles in a septic planar differential system enclosing a non-elementary singular point, using Riccati equation

DOI10.1007/s40863-022-00310-2OpenAlexW4283270639WikidataQ114218295 ScholiaQ114218295MaRDI QIDQ2107670

Rachid Cheurfa, R. Allaoua, Ahmed Bendjeddou

Publication date: 2 December 2022

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

Full work available at URL: https://doi.org/10.1007/s40863-022-00310-2

zbMATH Keywords

limit cyclesRiccati equationplanar polynomial differential systemnon-elementary singular point

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Explicit solutions, first integrals of ordinary differential equations (34A05) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)

Cites Work

• Explicit non-algebraic limit cycles for polynomial systems
• The limit cycle of the van der Pol equation is not algebraic
• Relaxation oscillators with exact limit cycles
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• Riccati differential equations
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• NON-ALGEBRAIC LIMIT CYCLES FOR PARAMETRIZED PLANAR POLYNOMIAL SYSTEMS
• On a new type of bifurcation of limit cycles for a planar cubic system
• Algebraic limit cycles in polynomial systems of differential equations
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