Summary
Mechanical and physical oscillating systems with slowly varying parameters, delay, and large damping, modeled by certain nonlinear ordinary and partial differential equations are considered. The time-dependent terms in these eqiations may not be periodic in time. The study is based on an extension of the asymptotic method of Krylow-Bogoliubov-Mitropolskii.
Zusammenfassung
Es werden mechanische und physikalische Schwingungssysteme mit langsam veränderlichen Parametern, Verzögerung und großer Dämpfung behandelt, welche durch bestimmte nichtlineare, gewöhnliche und partielle Differentialgleichungen beschrieben werden. Die zeitabhängigen Glieder in diesen Gleichungen müssen nicht zeitlich periodisch sein. Diese Arbeit basiert auf einer Erweiterung der asymptotischen Methode von Krylow-Bogoliubov-Mitropolskii.
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References
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Arya, J.C., Bojadziev, G.N. Time-dependent oscillating systems with damping, slowly varying parameters, and delay. Acta Mechanica 41, 109–119 (1981). https://doi.org/10.1007/BF01246908
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DOI: https://doi.org/10.1007/BF01246908