Abstract

Damped nonlinear oscillations in biological and biochemical systems are investigated by the extended Krylov-Bogoliubov-Mitropolskii (KBM) method. A review on the extension made by Popov to the KBM method is given and also further improvements are presented. Applications are made to models of oscillating chemical reactions ( Lefever and Nicolis, 1971 ), FitzHugh (1961) equations, and population dynamics ( Gatto and Rinaldi, 1977 ). Comparison to damped oscillating physical and engineering systems is made.

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