Comment on two papers of chaotic synchronization. (English) Zbl 1123.37324

Summary: This Letter comments on two papers of chaotic synchronization, namely [Phys. Rev. Lett. 76, 1232 (1996)] and [S. Chen et al., Phys. Lett. A 321, No. 1, 50–55 (2004; Zbl 1118.81326)]. We find that some statements in the two papers are incorrect by numerical simulations. The consequence of the incorrectness is analyzed as well.


37M05 Simulation of dynamical systems
37N20 Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics)
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior


Zbl 1118.81326
Full Text: DOI


[1] Parlitz, U., Phys. Rev. Lett., 76, 1232 (1996)
[2] Liao, X. X., Theory and Application of Stability for Dynamical Systems (2000), National Defence Industry: National Defence Industry Beijing, (in Chinese) · Zbl 0949.60068
[3] Lyapunov, A., The General Problem of Stability of Motion (1892), Kharkov, (There was a French translation in 1907 and an English translation in 1949)
[4] LaSalle, J.; Lefschetz, S., Stability by Lyapunov’s Direct Method with Applications (1961), Academic Press: Academic Press New York
[5] Chen, S.; Hu, J.; Wang, C.; Lü, J., Phys. Lett. A, 321, 50 (2004)
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