Generators of quasiperiodic oscillations with three-dimensional phase space

A.P. Kuznetsov, S.P. Kuznetsov, Erik Mosekilde, N.V. Stankevich

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Abstract

Considering a family of three-dimensional oscillators originating in the field of radio-engineering, the paper describes three different mechanisms of torus formation. Particular emphasis is paid to a process in which a saddle-node bifurcation eliminates a stable cycle and leaves the system to find a stationary state between a saddle cycle and a pair of equilibrium points of unstable focus/stable node and unstable node/stable focus type.
Original languageEnglish
JournalEuropean Physical Journal. Special Topics
Volume222
Issue number10
Pages (from-to)2391-2398
ISSN1951-6355
DOIs
Publication statusPublished - 2013

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