Oscillations in the autonomous model containing coupled subsystems

DOI10.1134/S0005117915010051zbMath1369.34063MaRDI QIDQ2356133

V. N. Tkhai

Publication date: 28 July 2015

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

zbMATH Keywords

stabilizationperiodic solutioncoupled systemcharacteristic exponent

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Stability of solutions to ordinary differential equations (34D20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Characteristic and Lyapunov exponents of ordinary differential equations (34D08)

Related Items (6)

Model containing coupled subsystems with oscillations of different types ⋮ Aggregation of an autonomous system with an attracting cycle ⋮ Oscillation family in weakly coupled identical systems ⋮ Designing a stable cycle in weakly coupled identical systems ⋮ Stabilization of oscillations in a coupled periodic system ⋮ Oscillations, stability and stabilization in the model containing coupled subsystems with cycles

Cites Work

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• 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
• 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 models structurally stable in periodic motion

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