Hopf bifurcations at infinity

DOI10.1016/0362-546X(89)90100-4zbMath0705.34042OpenAlexW2016205801MaRDI QIDQ3485218

J. N. Glover

Publication date: 1989

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(89)90100-4

zbMATH Keywords

eigenvalue

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25)

Related Items (8)

Hopf bifurcation at infinity and dissipative vector fields of the plane ⋮ Global first harmonic bifurcation diagram for odd piecewise linear control systems ⋮ Bifurcations from a center at infinity in 3D piecewise linear systems with two zones ⋮ Periodic solutions of second order Hamiltonian systems bifurcating from infinity ⋮ Hopf bifurcation at infinity in 3D symmetric piecewise linear systems. Application to a Bonhoeffer-van der Pol oscillator ⋮ Stability of large cycles in a nonsmooth problem with Hopf bifurcation at infinity ⋮ Bifurcation of a periodic orbit from infinity in planar piecewise linear vector fields ⋮ Hopf bifurcation at infinity in 3D relay systems

Cites Work

• The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
• The method of parameter functionalization in the hopf bifurcation problem

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