Global branches of periodic solutions for forced delay differential equations on compact manifolds

DOI10.1016/j.jde.2006.10.001zbMath1118.34066OpenAlexW2152408140MaRDI QIDQ868834

Alessandro Calamai, Pierluigi Benevieri, Maria Patrizia Pera, Massimo Furi

Publication date: 26 February 2007

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2006.10.001

zbMATH Keywords

global bifurcation

Mathematics Subject Classification ID

Periodic solutions to functional-differential equations (34K13) Bifurcation theory of functional-differential equations (34K18)

Related Items (3)

Sunflower model: time-dependent coefficients and topology of the periodic solutions set ⋮ On forced fast oscillations for delay differential equations on compact manifolds ⋮ Delay differential equations on manifolds and applications to motion problems for forced constrained systems

Cites Work

• A continuation principle for periodic solutions of forced motion equations on manifolds and applications to bifurcation theory
• A continuation principle for forced oscillations on differentiable manifolds
• Co-bifurcating branches of solutions for nonlinear eigenvalue problems in Banach spaces
• The fixed point index for local condensing maps
• Elementary Differential Topology. (AM-54)
• The Leray-Schauder index and the fixed point theory for arbitrary ANRs
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