Mechanism of synchronization in a random dynamical system.
The mechanism of synchronization in the random Zaslavsky map is investigated. From the error dynamics of two particles, the structure of phase space was analyzed, and a transcritical bifurcation between a saddle and a stable fixed point was found. We have verified the structure of on-off intermittency in terms of a biased random walk. Furthermore, for the generalized case of the ensemble of particles, a modified definition of the size of a snapshot attractor was exploited to establish the link with a random walk. As a result, the structure of on-off intermittency in the ensemble of particles was explicitly revealed near the transition.
Hwang
D U
DU
National Creative Research Initiative Center for Controlling Optical Chaos, Department of Physics, Paichai University, Seogu, Daejeon 302-735, Korea. zzamong@physics3.sogang.ac.kr
Kim
I
I
Rim
S
S
Kim
C M
CM
Park
Y J
YJ