TY - JOUR
T1 - Synchronization of chaotic Liouvillian systems
T2 - An application to Chua's oscillator
AU - Martínez-Guerra, Rafael
AU - Corona-Fortunio, Dulce M.G.
AU - Mata-Machuca, Juan L.
PY - 2013
Y1 - 2013
N2 - In this paper we deal with the synchronization of chaotic oscillators with Liouvillian properties (chaotic Liouvillian system) based on nonlinear observer design. The strategy consists of proposing a polynomial observer (slave system) which tends to follow exponentially the chaotic oscillator (master system). The proposed technique is applied in the synchronization of Chua's circuit using Matlab-Simulink® and Matlab®-LMI programs. Simulation results are used to visualize and illustrate the effectiveness of Chua's oscillator in synchronization.
AB - In this paper we deal with the synchronization of chaotic oscillators with Liouvillian properties (chaotic Liouvillian system) based on nonlinear observer design. The strategy consists of proposing a polynomial observer (slave system) which tends to follow exponentially the chaotic oscillator (master system). The proposed technique is applied in the synchronization of Chua's circuit using Matlab-Simulink® and Matlab®-LMI programs. Simulation results are used to visualize and illustrate the effectiveness of Chua's oscillator in synchronization.
KW - Chaotic Liouvillian systems
KW - Chua's circuit
KW - Exponential polynomial observer
KW - Numerical simulations
UR - http://www.scopus.com/inward/record.url?scp=84879044953&partnerID=8YFLogxK
U2 - 10.1016/j.amc.2013.04.056
DO - 10.1016/j.amc.2013.04.056
M3 - Artículo
SN - 0096-3003
VL - 219
SP - 10934
EP - 10944
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
IS - 23
ER -