Snapback repellers as a cause of chaotic vibration of the wave equation with a van der Pol boundary condition and energy injection at the middle of the span

@inproceedings{Chena1998SnapbackRA,
  title={Snapback repellers as a cause of chaotic vibration of the wave equation with a van der Pol boundary condition and energy injection at the middle of the span},
  author={Goong Chena and Sze-Bi Hsub},
  year={1998}
}
  • Goong Chena, Sze-Bi Hsub
  • Published 1998
A wave equation on a one-dimensional interval I has a van der Pol type nonlinear boundary condition at the right end. At the left end, the boundary condition is fixed. At exactly the midpoint of the interval I , energy is injected into the system through a pair of transmission conditions in the feedback form of anti-damping. We wish to study chaotic wave propagation in the system. A cause of chaos by snapback repellers has been identified. These snapback repellers are repelling fixed points… CONTINUE READING
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Chaotic vibration of the one - dimensional wave equation due to a selfexc boundary condition , Part III : natural hysteresis memory effects

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