The nonbifurcation of periodic solutions when the variational matrix has a zero eigenvalue

DOI10.1016/0022-247X(75)90130-4zbMath0314.34048OpenAlexW2010762588MaRDI QIDQ1220625

Herb I. Freedman

Publication date: 1975

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

Full work available at URL: https://doi.org/10.1016/0022-247x(75)90130-4

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Related Items (1)

Local feedback stabilization and bifurcation control. II: Stationary bifurcation

Cites Work

• A perturbed Kolmogorov-type model for the growth problem
• Loss of stability and bifurcation at a double eigenvalue
• On a Bifurcation Theorem of Hopf and Friedrichs^*
• Periodic solutions of perturbed second-order autonomous equations
• The Implicit Function Theorem in the Scalar Case*
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