Modified Function Projective Synchronization of the Ring Network with Time-delay Disturbance and Its Simulation

doi:10.19596/j.cnki.1001-246x.8648

Abstract

Abstract:

To improve the security of secret communication in ring networks, we analyze the effect of time delay interference on a ring network synchronization. Firstly, according to the topology of the ring network, the mathematical model of the ring network disturbed by time-varying delay is constructed. Then, based on the Lyapunov stability method, an adaptive controller is designed to control the ring network, and realize the modified function projection synchronization of the ring network with no time-delay, constant-delay and time-varying-delay, which shows that the adaptive controller is universal. At last, the correctness of the theoretical analysis is verified by numerical simulation, and it is found that the synchronization ability of the ring network is reduced by time-delay interference, the greater the delay, the worse the synchronization ability and the longer the time needed to achieve synchronization.

Key words: ring network, time delay disturbance, modified function projective synchronization

Dekui LI, Beixing MAO. Modified Function Projective Synchronization of the Ring Network with Time-delay Disturbance and Its Simulation[J]. Chinese Journal of Computational Physics, 2023, 40(5): 643-652.

Figures/Tables 7

Fig.1 Topology structure diagram of ring network

Fig.2 Chaotic attractor phase diagram of Lü system

Fig.3 Modified function projection synchronization errors of ring network with time-varying delay disturbance

Fig.4 Proportional function diagram of modified function projection synchronization

Fig.5 Phase diagrams of all nodes in a ring network and isolated node (a) phase diagrams of all nodes in a ring network; (b) phase diagram of isolated node Lü system

Fig.6 The trajectories of the modified function projection synchronization errors of the ring network without time-delay disturbance

Fig.7 The trajectories of the modified function projection synchronization errors of the ring network with time-delay disturbance (a) time-delay value is 0; (b) time-delay value is 0.3;(c) time-delay value is 2.5; (d) time-delay value is 4.8

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