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Bifurcation of special periodic solutions to delay-differential equations

✍ Scribed by Norman Bazley; Raúl Jiménez; Hubert Mennickent; Peter Miletta

Publisher
Springer
Year
1990
Tongue
English
Weight
405 KB
Volume
41
Category
Article
ISSN
0044-2275

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Neimark–Sacker bifurcation for periodic
Neimark–Sacker bifurcation for periodic delay differential equations
✍ Gergely Röst 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 256 KB

In this paper we study the delay differential equation where is a real parameter, the functions a(t), f (t, ) are C 4 -smooth and periodic in the variable t with period 1. Varying the parameter, eigenvalues of the monodromy operator (the derivative of the time-one map at the equilibrium 0) cross th