Geodesic
Projective synchronization of piecewise nonlinear chaotic maps
Teoretičeskaâ i matematičeskaâ fizika, Tome 197 (2018) no. 3, pp. 530-540

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With wide applications in secure data transmission and encryption, synchronization of chaotic systems is an interesting concept and has accordingly received special attention among nonlinear systems. Here, we propose an appropriate controller for synchronizing one-parameter families of piecewise nonlinear chaotic maps using a projective synchronization method. First, we present synchronization in coupled chaos discrete-time systems using the master–slave method. Using the principle of the stability of the Lyapunov function, we design a proper controller for achieving projective synchronization of piecewise nonlinear systems. Finally, we demonstrate the applicability of the proposed scheme with simulation results.
Keywords: projective synchronization, piecewise, chaotic map, Lyapunov function, slave–master method. 
@article{TMF_2018_197_3_a13,
     author = {S. Ahadpour and A. Nemati and F. Mirmasoudi and N. Hematpour},
     title = {Projective synchronization of piecewise nonlinear chaotic maps},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {530--540},
     publisher = {mathdoc},
     volume = {197},
     number = {3},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2018_197_3_a13/}
}
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S. Ahadpour; A. Nemati; F. Mirmasoudi; N. Hematpour. Projective synchronization of piecewise nonlinear chaotic maps. Teoretičeskaâ i matematičeskaâ fizika, Tome 197 (2018) no. 3, pp. 530-540. http://geodesic.mathdoc.fr/item/TMF_2018_197_3_a13/