This paper studies the dynamical behavior in the equation of J-J type with largedc-current by using rigorous mathematical analysis.The problem is completly solved.The conclusion is no chaotic motion takes place,every ...This paper studies the dynamical behavior in the equation of J-J type with largedc-current by using rigorous mathematical analysis.The problem is completly solved.The conclusion is no chaotic motion takes place,every trajectory is asymptotically periodicor quasi-periodic.展开更多
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 ...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.展开更多
I. INTRODUCTION In this article, we study the existence, uniqueness and stability of a periodic solution of a system with tangent discriminator and frequency modulation input:
The dynamical behavior in the equation of the Josephson junction has been studied byusing rigorous mathematical analysis. For the case β>2/1+ε(|ε|<1), the problem is completely solved.
文摘This paper studies the dynamical behavior in the equation of J-J type with largedc-current by using rigorous mathematical analysis.The problem is completly solved.The conclusion is no chaotic motion takes place,every trajectory is asymptotically periodicor quasi-periodic.
文摘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.
文摘I. INTRODUCTION In this article, we study the existence, uniqueness and stability of a periodic solution of a system with tangent discriminator and frequency modulation input:
文摘The dynamical behavior in the equation of the Josephson junction has been studied byusing rigorous mathematical analysis. For the case β>2/1+ε(|ε|<1), the problem is completely solved.