Abstract
Numerical investigations of a differential equation describing a rf-biased Josephson junction, in which the interference term current is included, are carried out in some parameter region. The existence of the intermittant transition to chaos is obtained and the critical exponent of the scaling law is determined in agreement with theoretical predictions. Furthermore, the Lyapunov exponent is calculated for several parameters, then the fractal dimension of strange attractor d/sub L/ is obtained, its dependence on the Lyapunov exponent is defined by Kaplan and Yorke. In addition, the Kolmogorov capacity of strange attractor d/sub c/ is also calculated by box-counting algorithm. Such calculated values of d/sub L/ and d/sub c/ are close to each other as expected.
Citation Formats
Xi-Dan, Wang, and Xi-Xian, Yao.
Dynamical behavior of RF-biased Josephson junctions (II).
China: N. p.,
1985.
Web.
Xi-Dan, Wang, & Xi-Xian, Yao.
Dynamical behavior of RF-biased Josephson junctions (II).
China.
Xi-Dan, Wang, and Xi-Xian, Yao.
1985.
"Dynamical behavior of RF-biased Josephson junctions (II)."
China.
@misc{etde_6324799,
title = {Dynamical behavior of RF-biased Josephson junctions (II)}
author = {Xi-Dan, Wang, and Xi-Xian, Yao}
abstractNote = {Numerical investigations of a differential equation describing a rf-biased Josephson junction, in which the interference term current is included, are carried out in some parameter region. The existence of the intermittant transition to chaos is obtained and the critical exponent of the scaling law is determined in agreement with theoretical predictions. Furthermore, the Lyapunov exponent is calculated for several parameters, then the fractal dimension of strange attractor d/sub L/ is obtained, its dependence on the Lyapunov exponent is defined by Kaplan and Yorke. In addition, the Kolmogorov capacity of strange attractor d/sub c/ is also calculated by box-counting algorithm. Such calculated values of d/sub L/ and d/sub c/ are close to each other as expected.}
journal = []
volume = {34:9}
journal type = {AC}
place = {China}
year = {1985}
month = {Sep}
}
title = {Dynamical behavior of RF-biased Josephson junctions (II)}
author = {Xi-Dan, Wang, and Xi-Xian, Yao}
abstractNote = {Numerical investigations of a differential equation describing a rf-biased Josephson junction, in which the interference term current is included, are carried out in some parameter region. The existence of the intermittant transition to chaos is obtained and the critical exponent of the scaling law is determined in agreement with theoretical predictions. Furthermore, the Lyapunov exponent is calculated for several parameters, then the fractal dimension of strange attractor d/sub L/ is obtained, its dependence on the Lyapunov exponent is defined by Kaplan and Yorke. In addition, the Kolmogorov capacity of strange attractor d/sub c/ is also calculated by box-counting algorithm. Such calculated values of d/sub L/ and d/sub c/ are close to each other as expected.}
journal = []
volume = {34:9}
journal type = {AC}
place = {China}
year = {1985}
month = {Sep}
}