Geodesic
New Methods for Proving the Existence and Stability of Periodic Solutions in Singularly Perturbed Delay Systems
Informatics and Automation, Analysis and singularities. Part 2, Tome 259 (2007), pp. 106-133

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We carry out a detailed analysis of the existence, asymptotics, and stability problems for periodic solutions that bifurcate from the zero equilibrium state in systems with large delay. The account is based on a specific meaningful example given by a certain scalar nonlinear second-order differential–difference equation that is a mathematical model of a single-circuit $RCL$-oscillator with delay in a feedback loop. 
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     author = {A. Yu. Kolesov and E. F. Mishchenko and N. Kh. Rozov},
     title = {New {Methods} for {Proving} the {Existence} and {Stability} of {Periodic} {Solutions} in {Singularly} {Perturbed} {Delay} {Systems}},
     journal = {Informatics and Automation},
     pages = {106--133},
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     year = {2007},
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     url = {http://geodesic.mathdoc.fr/item/TRSPY_2007_259_a7/}
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A. Yu. Kolesov; E. F. Mishchenko; N. Kh. Rozov. New Methods for Proving the Existence and Stability of Periodic Solutions in Singularly Perturbed Delay Systems. Informatics and Automation, Analysis and singularities. Part 2, Tome 259 (2007), pp. 106-133. http://geodesic.mathdoc.fr/item/TRSPY_2007_259_a7/