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JOURNALS // Avtomatika i Telemekhanika // Archive

Avtomat. i Telemekh., 2008 Issue 7, Pages 19–28 (Mi at682)

This article is cited in 1 paper

Deterministic Systems

On torus Burth bifurcations in the pulse-width system

Zh. T. Zhusubaliev

Kursk State Technical University

Abstract: The dynamics of the pulse-width system described by nonautonomous piecewise smooth differential equations is studied. In the parameter plane domains of different dynamic behaviour are determined both analytically and numerically. A special type of C-bifurcation resulting in the invariant torus birth from a stable equilibrium is discovered. It is shown that the periodic motion due to this bifurcation arises as an unstable focal cycle surrounded by a resonance or ergodic torus.

PACS: 05.45.Gg, 05.45.Pq

Presented by the member of Editorial Board: A. M. Krasnosel'skii

Received: 10.01.2007


 English version:
Automation and Remote Control, 2008, 69:7, 1117–1125

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© Steklov Math. Inst. of RAS, 2026