TY - JOUR
T1 - Transient characteristics between periodic attractors stabilized by chaos control in a semiconductor laser
AU - Uchida, A.
AU - Sato, T.
AU - Yoshimori, S.
AU - Kannari, F.
N1 - Funding Information:
Research Grant from The Japan Science Society, The Promotion and Mutual Aid Corporation for Private Schools of Japan, and Grant-in-Aid for Encouragement of Young Scientists from the Japan Society for the Promotion of Science.
Funding Information:
This work was financially supported by The Sumitomo Foundation, The Telecommunications Advancement Foundation, the Sasakawa Scientific
Copyright:
Copyright 2018 Elsevier B.V., All rights reserved.
PY - 2003/5
Y1 - 2003/5
N2 - We investigate the transient response time between periodic attractors stabilized by chaos control methods in a semiconductor laser. We use the revised occasional proportional feedback (ROPF) method to shorten the transient response time and compare it with the high frequency injection (HFI) method. A chaotic attractor is stabilized resulting in two different periodic attractors (period-1 and period-6) under different control parameters, and the transient response time is measured as one of the stabilized periodic attractors is switched to the other. During the transition, the trajectory approaches a certain unstable periodic orbit (UPO), and the distance between the trajectory in the phase space and the UPO can be described as an exponential function of the transient response time. Since the trajectory can directly converge into the periodic orbit by using the ROPF method, the transient response time obtained by the ROPF method can be shortened more than that obtained by the HFI method.
AB - We investigate the transient response time between periodic attractors stabilized by chaos control methods in a semiconductor laser. We use the revised occasional proportional feedback (ROPF) method to shorten the transient response time and compare it with the high frequency injection (HFI) method. A chaotic attractor is stabilized resulting in two different periodic attractors (period-1 and period-6) under different control parameters, and the transient response time is measured as one of the stabilized periodic attractors is switched to the other. During the transition, the trajectory approaches a certain unstable periodic orbit (UPO), and the distance between the trajectory in the phase space and the UPO can be described as an exponential function of the transient response time. Since the trajectory can directly converge into the periodic orbit by using the ROPF method, the transient response time obtained by the ROPF method can be shortened more than that obtained by the HFI method.
KW - Chaos control
KW - High-frequency injection
KW - OGY method
KW - Occasional proportional feedback
KW - Transient response time
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U2 - 10.1142/S0218127403007254
DO - 10.1142/S0218127403007254
M3 - Article
AN - SCOPUS:0043199876
SN - 0218-1274
VL - 13
SP - 1309
EP - 1317
JO - International Journal of Bifurcation and Chaos
JF - International Journal of Bifurcation and Chaos
IS - 5
ER -