V. N. Tkhai, “Oscillations and stability in quasiautonomous system. I. Simple point of the one-parameter family of periodic motions”, Avtomat. i Telemekh., 2006, Issue 9,Pages <nobr>90

This article is cited in 12 papers

Deterministic Systems

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

V. N. Tkhai

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

Abstract: Oscillations in the quasiautonomous periodic system were studied for the case where the generating autonomous system admits the one-parameter family $\sigma(h)$ of periodic motions with period $T(h)$. Generation of a single cycle was shown to be usual at the ordinary point ($dT(h)\ne0$). Conditions for cycle stability were obtained.

PACS: 05.45-a

Presented by the member of Editorial Board: L. B. Rapoport

Received: 16.03.2006