Hopf bifurcation from infinity

zbMath0644.34037MaRDI QIDQ1102428

Sabatini, Marco

Publication date: 1987

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1987__78__237_0

zbMATH Keywords

second order differential equationsRayleighLiénard

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (6)

Bifurcation of limit cycles at infinity in a class of switching systems ⋮ Successive bifurcations at infinity for second order O.D.E's. ⋮ Hopf bifurcation at infinity and dissipative vector fields of the plane ⋮ Periodic solutions of second order Hamiltonian systems bifurcating from infinity ⋮ Liénard limit cycles enclosing period annuli, or enclosed by period annuli ⋮ Bifurcation of a periodic orbit from infinity in planar piecewise linear vector fields

Cites Work

• An introduction to infinite dimensional dynamical systems -- geometric theory. With an appendix by Krzysztof P. Rybakowski
• Liapunov direct method in approaching bifurcation problems
• Prolongations and stability in dynamical systems
• On the generalized Lienard equation with negative damping
• Boundedness theorems for some second order differential equations I
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