https://doi.org/10.1140/epjst/e2013-02023-x
Regular Article
Generators of quasiperiodic oscillations with three-dimensional phase space
1 Saratov Branch of Institute of Radio-Engineering and Electronics of RAS, Zelenaya, 38, 410019 Saratov, Russia
2 Department of Physics, The Technical University of Denmark, 2800 Kgs. Lyngby, Denmark
3 Saratov State Technical University, Polytechnicheskaya, 77, 410054 Saratov, Russia
a e-mail: erik.mosekilde@fysik.dtu.dk
b e-mail: stankevichnv@mail.ru
Received: 16 July 2013
Revised: 13 August 2013
Published online: 28 October 2013
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.
© EDP Sciences, Springer-Verlag, 2013
