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The European Physical Journal Special Topics

, Volume 222, Issue 10, pp 2391–2398 | Cite as

Generators of quasiperiodic oscillations with three-dimensional phase space

  • A.P. Kuznetsov
  • S.P. Kuznetsov
  • E. MosekildeEmail author
  • N.V. StankevichEmail author
Regular Article Nonlinear Dynamics and Synchronization

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

Equilibrium Point Hopf Bifurcation European Physical Journal Special Topic Parameter Plane Storage Element 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© EDP Sciences and Springer 2013

Authors and Affiliations

  1. 1.Saratov Branch of Institute of Radio-Engineering and Electronics of RASSaratovRussia
  2. 2.Department of PhysicsThe Technical University of Denmark, 2800 Kgs.LyngbyDenmark
  3. 3.Saratov State Technical UniversitySaratovRussia

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