J-J型方程的动力行为

本文用严格的数学方法,研究了J-J型方程的动力行为,在β>2/(1+δ)(|(?)|<1)的限制下,问题得到了完全解决。     

NUMERICAL ANALYSIS OF THE DYNAMICAL BEHAVIOR OF THE EQUATION OF J-J TYPE

In this paper, we have analysed the dynamical behavior of the Josephson Junction equation bynumerical computation and the theory of dynamical systems. As 0<β<2:1 ε, and ρis not sufficientlylarge, we observed the intermittent chaotic behavior and the period-doubling chaotic behavior in whichpeople are very interested recently. This implies the for some β(0<β<2:1 ε), the dynamicalbehavior of the J-J equation is rather complex.     

HORSESHOE MOTIONS AND SUBHARMONICS OF THE EQUATION OF J-J TYPE WITH SMALL PARAMETERS

In this paper,we have proved the existence of horseshoe motions and subharmonic motions of the equation of a Josephson junction with small parameters by using Melnikov's method.