Existence and stability of bifurcating tori in a neighborhood of an equilibrium position

DOI10.1016/0022-247X(91)90018-UzbMath0728.34056MaRDI QIDQ804796

Stephen R. Bernfeld

Publication date: 1991

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

zbMATH Keywords

normal form theoryexistence and stability of cyclesHopf-Hopf-mode interaction with irrational frequency ratiotwodimensional tori

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Stability of manifolds of solutions to ordinary differential equations (34D35)

Related Items (2)

Exchange of stability of an equilibrium of homogeneous planar differential systems ⋮ Behavior of orbits near a critical equilibrium of a two-dimensional system

Cites Work

• Sulla stabilita dell'equilibrio nei casi critici
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