Geodesic
New Methods for Proving the Existence and Stability of Periodic Solutions in Singularly Perturbed Delay Systems
Trudy Matematicheskogo Instituta imeni V.A. Steklova, 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 = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
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     publisher = {mathdoc},
     volume = {259},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_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. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Analysis and singularities. Part 2, Tome 259 (2007), pp. 106-133. http://geodesic.mathdoc.fr/item/TM_2007_259_a7/