Basic oscillation mode in the coupled-subsystems model

DOI10.1134/S0005117914120030zbMath1327.34064OpenAlexW2010791633MaRDI QIDQ891477

V. N. Tkhai, A. T. Tureshbaev, I. N. Barabanov

Publication date: 17 November 2015

Published in: Automation and Remote Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0005117914120030

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

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Cites Work

• Unnamed Item
• The period of a family of nonlinear oscillations and periodic motions of a perturbed system at a critical point of the family
• The law of the dependence of the period of nonlinear oscillations on a single parameter
• Model with coupled subsystems
• Quasiautonomous system: oscillations, stability, and stabilization at the ordinary point of the family of periodic solutions
• Oscillations and stability in quasiautonomous system. II. Critical point of the one-parameter family of periodic motions
• Oscillations and stability in quasiautonomous system. I. A simple point of the one-parameter family of periodic motions
• On models structurally stable in periodic motion
• Poincaré index and periodic solutions of perturbed autonomous systems
• On the continuation of periodic orbits