Quasiautonomous system: oscillations, stability, and stabilization at the ordinary point of the family of periodic solutions

DOI10.1134/S0005117913080031zbMath1305.34059MaRDI QIDQ462046

V. N. Tkhai, I. N. Barabanov

Publication date: 15 October 2014

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

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Control problems involving ordinary differential equations (34H05) Stability of solutions to ordinary differential equations (34D20)

Related Items (1)

Basic oscillation mode in the coupled-subsystems model

Cites Work

• The law of the dependence of the period of nonlinear oscillations on a single parameter
• 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
• Stabilization of oscillations from a monoparametric family of the autonomous system
• On the number of critical points of the period
• The Melnikov Theory for Subharmonics and Their Bifurcations in Forced Oscillations

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