TY - JOUR
T1 - AMPLITUDE CONTROL and CHAOTIC SYNCHRONIZATION of A COMPLEX-VALUED LASER RING NETWORK
AU - CHAI, Lin
AU - LIU, Jian
AU - CHEN, Guanrong
AU - ZHANG, Xiaotong
AU - LI, Yiqun
PY - 2023
Y1 - 2023
N2 - Many real-world systems are connected together, in natural and man-made networks. A complex-valued laser network can simulate the working mechanism of human brain. However, amplitude control of a complex-valued laser network is seldom studied. In this paper, a ring network of complex-valued Lorenz laser systems is investigated. The ring network exhibits complex dynamics including hyper-chaos, quasi-periodic orbits, and coexisting hyper-chaos. Three kinds of single-parameter oriented amplitude controls are realized with varying or unvarying Lyapunov exponents in the ring network. Meanwhile, a simple knob can realize the amplitude rescaling of hyper-chaotic signals, which reduces the cost of circuit implementation. Moreover, a criterion of chaotic complete synchronization among all the nodes is established for a network with strong coupling. For relatively weak coupling, quasi-periodic complete synchronization is found, and the performance of chaotic synchronization is studied in terms of the cross-correlation coefficient. It is moreover revealed that the improvement and trend of synchronization performance are robust to the parity of the number of nodes for the same-scale laser networks. © 2023 World Scientific Publishing Company.
AB - Many real-world systems are connected together, in natural and man-made networks. A complex-valued laser network can simulate the working mechanism of human brain. However, amplitude control of a complex-valued laser network is seldom studied. In this paper, a ring network of complex-valued Lorenz laser systems is investigated. The ring network exhibits complex dynamics including hyper-chaos, quasi-periodic orbits, and coexisting hyper-chaos. Three kinds of single-parameter oriented amplitude controls are realized with varying or unvarying Lyapunov exponents in the ring network. Meanwhile, a simple knob can realize the amplitude rescaling of hyper-chaotic signals, which reduces the cost of circuit implementation. Moreover, a criterion of chaotic complete synchronization among all the nodes is established for a network with strong coupling. For relatively weak coupling, quasi-periodic complete synchronization is found, and the performance of chaotic synchronization is studied in terms of the cross-correlation coefficient. It is moreover revealed that the improvement and trend of synchronization performance are robust to the parity of the number of nodes for the same-scale laser networks. © 2023 World Scientific Publishing Company.
KW - Amplitude Control
KW - Chaotic Synchronization
KW - Complex Lorenz System
KW - Laser Network
KW - Quasi-Periodic Synchronization
UR - http://www.scopus.com/inward/record.url?scp=85170241789&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-85170241789&origin=recordpage
U2 - 10.1142/S0218348X23500913
DO - 10.1142/S0218348X23500913
M3 - RGC 21 - Publication in refereed journal
SN - 0218-348X
VL - 31
JO - Fractals
JF - Fractals
IS - 7
M1 - 2350091
ER -