fractional order parameter

Parametric control on fractional-order response for Lü chaotic system

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Khaled Moaddy, et al., "Parametric control on fractional-order response for Lü chaotic system." In Journal of Physics: Conference Series, 423, (1), 2013, 012024. Abstract. This paper discusses the influence of the fractional order parameter on conventional chaotic systems. These fractional-order parameters increase the system degree of freedom allowing it to enter new domains and thus it can be used as a control for such dynamical systems. This paper investigates the behaviour of the equally-fractional-order Lü chaotic system when changing the fractional-order parameter and determines the

Control and switching synchronization of fractional order chaotic systems using active control technique

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Ahmed G. Radwan, et al., "Control and switching synchronization of fractional order chaotic systems using active control technique." Journal of Advanced Research 5 (1), 2014, 125. This paper discusses the continuous effect of the fractional order parameter of the Lü system where the system response starts stable, passing by chaotic behavior then reaching periodic response as the fractional-order increases. In addition, this paper presents the concept of synchronization of different fractional order chaotic systems using active control technique. Four different synchronization cases are