Generalized synchronization of different dimensional chaotic dynamical systems in discrete time

Abstract

In this paper, the classical problem and the inverse problem of generalized synchronization for different dimensional chaotic dynamical systems in discrete time are investigated. The generalized synchronization results have been derived using active control method and Lyapunov stability theory. Numerical simulations are performed to verify the effectiveness of the proposed schemes.

Influence of the air flow velocity relatively thermostat obturator on the effectiveness of induced heat and mass transfer

“…In such systems, possible processes of self organization, which cause efficient dispersion (dis sipation) of thermal energy due to phase transitions of the first kind [12]. For this system, two groups of parameters are distinguished: the order parameters are the internal properties of the system that determine the IHMT scale and its kinetics; control parameters are factors that allow to adjust the power of the effect by external actions.…”

Chaos, control, and synchronization in some fractional-order difference equations

“…This was the seed that started the long use of chaotic systems in the field of communications. Throughout the years, many studies have considered the synchronization of integer-order chaotic and hyperchaotic maps including [25][26][27][28][29] but very few can be found for those of fractional-order [30][31][32][33][34].…”

Adaptive finite-time generalized outer synchronization between two different dimensional chaotic systems with noise perturbation

“…And the synchronization of different dimensional chaotic systems has been studied in Refs. [3,4,8,12,26,41]. In Ref.…”