Kolmogorov System with Explicit Hyperbolic Limit Cycle

DOI10.17516/1997-1397-2017-10-2-216-222OpenAlexW2621581900MaRDI QIDQ5853094

Ahmed Bendjeddou, S. Benyoucef

Publication date: 18 March 2021

Published in: Journal of Siberian Federal University. Mathematics & Physics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/jsfu542

zbMATH Keywords

periodic solutionsingular pointinvariant curvealgebraic limit cycleKolmogorov differential system

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX) Ordinary differential equations (34-XX)

Related Items (4)

Unnamed Item ⋮ Kolmogorov differential systems with algebraic limit cycles ⋮ A survey on algebraic and explicit non-algebraic limit cycles in planar differential systems ⋮ A Class of Quintic Kolmogorov Systems with Explicit Non-algebraic Limit Cycle

Cites Work

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• Limit cycles in a general Kolmogorov model
• A cubic Kolmogorov system with six limit cycles
• Limit cycles of a cubic Kolmogorov system
• On the exact limit cycle for some class of planar differential systems
• On the stability of limit cycles for planar differential systems
• Limit cycles in a Kolmogorov-type model
• LIMIT CYCLES IN A CUBIC PREDATOR-PREY DIFFERENTIAL SYSTEM
• Uniqueness of a Limit Cycle for a Predator-Prey System

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