Double degeneracy in the problem on unbounded branches of forced oscillations

DOI10.1134/S1064562408020038zbMath1159.34034OpenAlexW2023189619MaRDI QIDQ951688

Alexander M. Krasnosel'skii

Publication date: 27 October 2008

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562408020038

zbMATH Keywords

periodic solutionssolution setparameterdegeneracyoperator equationasymptotic bifurcation pointbranching of solutions

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Abstract bifurcation theory involving nonlinear operators (47J15)

Related Items (1)

On a method of analysis of resonance problems

Cites Work

• Critical point theory and Hamiltonian systems
• The index at infinity of some twice degenerate compact vector fields
• Bounded perturbations of forced harmonic oscillators at resonance

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