小信号检测中间歇混沌运动的机理

Intermittent Chaos Motion Mechanismin Small Signal Detection

讨论了小信号摄动的受迫Duffing振子在非平衡相变临界点附近的行为,推导出振子发生相变的相位条件,得出在该临界点附近相变对小信号敏感的结论.推导出系统发生间歇混沌现象的频差条件,该临界点附近的微小频差是产生间歇混沌的原因,这是与切分岔概念不同的产生间歇混沌的又一机理.

Abstract The dynamical properties of the forced Duffing oscillator disturbed by small sig-nal near the critical point of the non-equilibrium phase change are expounded. The phasecondition of the phase change happening is deduced. It is concluded that the phase trans-form is sensitive to the small signal near the critical point. The frequency difference condi-tion of the intermittent chaos happening is deduced. The small frequency difference nearthe critical point is the reason of the intermittent chaos appearing. This is another mecha-nism differing from the tangent bifurcation for producing intemittent chaos.