Damped oscillating processes in biological and biochemical systems

DOI10.1007/BF02460988zbMath0443.92005OpenAlexW4230231849MaRDI QIDQ1144511

Georgi Boyadzhiev

Publication date: 1980

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02460988

zbMATH Keywords

biological systemsbiochemical systemsKrylov-Bogoliubov-Mitropolskii methoddamped nonlinear oscillationsFitzHugh equations

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Chemical kinetics in thermodynamics and heat transfer (80A30) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) General biology and biomathematics (92B05) Physiological, cellular and medical topics (92Cxx) Chemistry (92Exx)

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Cites Work

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• Chemical instabilities and sustained oscillations
• An applicable Hopf bifurcation formula and instability of small periodic solutions of the Field-Noyes model
• An estimate for the small parameter in the asymptotic analysis of non- linear systems by the method of averaging
• Stability analysis of predator-prey models via the Liapunov method
• The Krylov-Bogoliubov-Mitropolskii method applied to models of population dynamics
• Sur l’interaction des oscillation non-linéaires
• Perturbation Theory for Damped Nonlinear Oscillations
• Introduction to Non-Linear Mechanics. (AM-11)

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