A new chaotic system without linear term and its impulsive synchronization

Exponential synchronization of chaotic system and application in secure communication

“…In 2014, Y. Xu and Y. Wang [8] introduced a new chaotic system without linear term, as follows: For further information about the (2.1) see [8].…”

“…A new chaotic system without linear term and its impulsive synchronization was introduced in [8]. This paper investigates the exponential synchronization of the chaotic system without linear term and its application in secure communication.…”

Impulsive synchronization of Lü chaotic systems via the hybrid controller

“…Among the existing publications, some papers focused on 'pinning control' on chaotic systems by the idea of linear feedback control or adaptive control. On the other hand, impulsive control strategies have been widely used to synchronize coupled chaotic dynamical systems due to their potential advantages over general continuous control schemes [17][18][19][20][21][22][23][24]. What is more, the impulsive controller usually has a relatively simple structure.…”

Impulsive Synchronization of Hyperchaotic Lü Systems with Two Methods

“…Xi et al presented adaptive impulsive synchronization for a class of fractional-order chaotic and hyperchaotic systems [15]. Xu et al studied a new chaotic system without linear term and its impulsive synchronization [16]. In the paper, impulsive synchronization of hyper-chaotic Lü system is studied.…”