Subcritical Andronov-Hopf scenario for systems with a line of equilibria.

  title={Subcritical Andronov-Hopf scenario for systems with a line of equilibria.},
  author={Ivan A. Korneev and Andrei V. Slepnev and Tatiana E. Vadivasova and Vladimir V. Semenov},
  volume={31 7},
Using numerical simulation methods and analytical approaches, we demonstrate hard self-oscillation excitation in systems with infinitely many equilibrium points forming a line of equilibria in the phase space. The studied bifurcation phenomena are equivalent to the excitation scenario via the subcritical Andronov-Hopf bifurcation observed in classical self-oscillators with isolated equilibrium points. The hysteresis and bistability accompanying the discussed processes are shown and explained… Expand

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