Analysis of global bifurcation for a class of systems of degree five

DOI10.1006/jmaa.1997.5546zbMath0994.34027OpenAlexW1974788414MaRDI QIDQ1270880

Wang Xian, Yan Ping, Jiang Jifa

Publication date: 3 November 1998

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5546

zbMATH Keywords

limit cycleglobal bifurcationseparatrix loop bifurcation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23)

Related Items (6)

Uniqueness of periodic solutions for certain second-order equations ⋮ On uniqueness of limit cycle for the equation \(\ddot x+f(x){\phi}(\dot x)\dot x+g(x)=0\) ⋮ Bifurcation values for a family of planar vector fields of degree five ⋮ Periodic solutions of general autonomous system of liénard type ⋮ Bifurcation diagram and stability for a one-parameter family of planar vector fields ⋮ Some Applications of the Extended Bendixson-Dulac Theorem

Cites Work

• Stability theory for ordinary differential equations
• Periodic solutions of generalized Liénard equations
• Periodic solutions of generalized Liénard equations
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