摘要：Se propone un esquema de sincronización para sistemas fraccionarios caóticos, es decir, sistemas modelados con operadores de orden no entero (éstos operadores son generalizaciones de la derivada e integral usuales) cuyo comportamiento es caótico. En particular, se toman sistemas de Lü fraccionarios y un esquema maestro-esclavo, para la sincronización. Esto se lleva a cabo mediante un acoplamiento no lineal, por lo que la sincronización de todos los estados es inexacta, es decir, los estados de cada sistema se mantienen lo suficientemente cerca, debido a que sólo se garantiza que el sistema que representa el error es estable, y no asintóticamente estable. Pero, a diferencia de otros trabajos, no se pide eliminar la parte no lineal del error de sincronización, por lo que se considera que este enfoque es menos restrictivo.
其他摘要：In this work is proposed a synchronization scheme for fractional order chaotic systems, i.e., systems modeled by non integer order differential operators (these operators can be seen as generalizations of theones for the usual integral and derivative) whose behavior is chaotic. In particular, the fractional order chaotic systems taken are the so called Lü systems and the synchronization approach is master-slave. The synchronization process is carried out through a nonlinear coupling, this is why the synchronization of all states is inexact, i.e., all the states of the system are maintained closely enough, due to the fact that is only guaranteed that the dynamic error system is stable, and not asymptotically stable. The main difference between this work and others on the subject is that in this scheme it is not necessary to eliminate the nonlinear part of the dynamic system of the error, therefore is considered by the authors that this approach is less restrictive.
关键词：Sincronización completa inexacta; sistemas de orden fraccionario; sistemas caóticos fraccionarios;Complete inexact synchronization; fractional order systems; fractional order chaotic systems
