Oscillations and stability in quasiautonomous system. II. Critical point of the one-parameter family of periodic motions

DOI10.1134/S0005117911070137zbMath1298.34073MaRDI QIDQ650001

V. N. Tkhai

Publication date: 25 November 2011

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

zbMATH Keywords

quasiautonomous system

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Stability of solutions to ordinary differential equations (34D20) Perturbations of ordinary differential equations (34D10)

Related Items (4)

Basic oscillation mode in the coupled-subsystems model ⋮ A mechanical system containing weakly coupled subsystems ⋮ Model with coupled subsystems ⋮ Quasiautonomous system: oscillations, stability, and stabilization at the ordinary point of the family of periodic solutions

Cites Work

• Oscillations and stability in quasiautonomous system. I. A simple point of the one-parameter family of periodic motions
• On the number of critical points of the period
• The Melnikov Theory for Subharmonics and Their Bifurcations in Forced Oscillations

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