非線形係数励振系のカオス的挙動

抄録

Chaotic oscillations arising in nonlinear oscillations having the interaction between self-excited and parametric vibrations are studied. The equation of motion is described by the combined Mathieu-van der Pol's equation, and numerical integration is used to obtain phase plane portrait and Poincare maps for large time motions. Chaotic motions are investigated by Li-Yorke's theorem, the Liapunov exponent, the invariant probability distribution and Mel'nikov's method.