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Título del libro: Proceedings Of The Joint 3rd International Workshop On Nonlinear Dynamics And Synchronization, Inds'11 And 16th International Symposium On Theoretical Electrical Engineering, Istet'11
Título del capítulo: Synchronization of multi-directional multi-scroll chaos generators: A Hamiltonian approach

Autores UNAM:
OLGA GUADALUPE FELIX BELTRAN;
Autores externos:

Idioma:

Año de publicación:
2011
Palabras clave:

chaos; Hamiltonian forms; multi-directional; multi-scroll; synchronization


Resumen:

In this paper, a chaotic synchronization scheme for multi-directional multi-scroll chaos generators is presented. We use Generalized Hamiltonian forms approach to determine the synchronization conditions for two unidirectionally coupled multi-directional multi-scroll chaotic attractors. First, two state-variables of the master system are used to control the two nonlinear functions in the slave system and consequently, reach the synchronization of two 2D-4-scroll chaotic systems. Similarly, the synchronization of two 3D-4-scroll chaotic systems is achieved by using all three state-variables in order to control the three nonlinear functions for the slave system. Finally, theoretical calculations are in good agreement with numerical simulations and a prediction on the values for observer gain is also given. © 2011 IEEE.


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