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Generators of quasiperiodic oscillations with three-dimensional phase space
Authors:AP Kuznetsov  SP Kuznetsov  E Mosekilde  NV Stankevich
Institution: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
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.
Keywords:
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