Periodic orbits for some systems of delay differential equations

DOI10.1007/S10114-007-0983-ZzbMath1148.34047OpenAlexW2021605896MaRDI QIDQ925954

Alexandrina-Alina Tarţa, Jaume Llibre

Publication date: 26 May 2008

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-007-0983-z

zbMATH Keywords

periodic orbitdelay differential systemunique delay

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Ordinary differential equations which yield periodic solutions of differential delay equations
• Two existence theorems of periodic solutions for differential delay equations
• Bifurcation of periodic solutions of delay differential equation with two delays.
• Bifurcations of periodic solutions of delay differential equations
• Proof and generalization of Kaplan-Yorke's conjecture under the condition \(F^{\prime}\) \((0) > 0\) on periodic solutions to differential delay equations
• Periodic solutions of delay equations with three delays via bi-Hamiltonian systems
• The existence of periodic solutions for a class of neutral differential difference equations
• Hamiltonian symmetric groups and multiple periodic solutions of differential delay equations
• A note on the relation between period and energy of periodic orbits near equilibrium points
• On the construction of periodic solutions of kaplan-yorke type for some differential delay equations

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