TY - JOUR
T1 - Dynamical behavior of the motions associated with the nonlinear periodic regime in a laboratory plasma subject to delayed feedback
AU - Fukuyama, T.
AU - Watanabe, Y.
AU - Taniguchi, K.
AU - Shirahama, H.
AU - Kawai, Y.
PY - 2006
Y1 - 2006
N2 - Time-delayed feedback is applied to the motions associated with the nonlinear periodic regime generated due to current-driven ion acoustic instability; this is a typical instability in a laboratory plasma, and the dynamical behavior is experimentally investigated using delayed feedback. A time-delayed autosynchronization method is applied. When delayed feedback is applied to the nonlinear periodic orbit, the periodic state changes to various motions depending on the control parameters, namely, the arbitrary time delay and the proportionality constant. Lyapunov exponents are calculated in order to examine the dynamical behavior.
AB - Time-delayed feedback is applied to the motions associated with the nonlinear periodic regime generated due to current-driven ion acoustic instability; this is a typical instability in a laboratory plasma, and the dynamical behavior is experimentally investigated using delayed feedback. A time-delayed autosynchronization method is applied. When delayed feedback is applied to the nonlinear periodic orbit, the periodic state changes to various motions depending on the control parameters, namely, the arbitrary time delay and the proportionality constant. Lyapunov exponents are calculated in order to examine the dynamical behavior.
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U2 - 10.1103/PhysRevE.74.016401
DO - 10.1103/PhysRevE.74.016401
M3 - Article
AN - SCOPUS:33745831919
SN - 1539-3755
VL - 74
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 1
M1 - 016401
ER -