Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1101.34055
Llibre, Jaume; Tarţa, Alexandrina-Alina
Periodic solutions of delay equations with three delays via bi-Hamiltonian systems. (English)
[J] Nonlinear Anal., Theory Methods Appl. 64, No. 11, A, 2433-2441 (2006). ISSN 0362-546X

The idea of obtaining periodic solutions of delay equations from associated Hamiltonian systems of ODEs (originally due to Kaplan and Yorke) is applied to a special type of systems with three delays and enough symmetry so the method works. A kind of commensurability condition on the delays is crucial, and periodic solutions of the ODE correspond to solutions of the delay system with the same period. The role of the solutions constructed in the overall dynamics is not discussed.
[Bernhard Lani-Wayda (Giessen)]

MSC 2000:: *34K13 Periodic solutions of functional differential equations
34K18 Bifurcation theory of functional differential equations

Keywords: delay equations; symmetries; Hamiltonian ordinary differential equations; periodic orbits

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]