Periodic Solutions of Forced Nonlinear Second Order Equations: Symmetry and Bifurcations

DOI10.1137/0517092zbMath0616.34042OpenAlexW2092315436MaRDI QIDQ4724963

Monica Fürkotter, Hildebrando M. Rodrigues

Publication date: 1986

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0517092

zbMATH Keywords

Lyapunov-Schmidt methodFredholm alternativebifurcation equationsecond order differential equationDuffing's equation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear ordinary differential equations and systems (34A34) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Local and nonlocal bifurcation theory for dynamical systems (37G99)

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The Hartman-Grobman theorem for reversible systems on Banach spaces

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