An Investigation on Hybrid Projective Combination Difference Synchronization Scheme Between Chaotic Prey-Predator Systems via Active Control Method

A Comprehensive Analysis on Controlling and Hybrid Synchronization in Identical Chaotic Systems via Active Control Method

“…In past few decades, the existent literature exhibits an important interest in introducing the novel chaotic systems, for instance, Rossler system, Vaidyananthan, Lu system, Chen system, Liu system, Zhu system, Elhadj system etc. In recent times, several schemes to achieve synchronization as well as control among chaotic systems have been reported and discussed such as nonlinear control [3,4,5,6], feedback [7,8,9], back-stepping design [10,11], OYG method [12], sliding mode control [13], passive control [14], impulsive [15], adaptive control [3,7,16], fuzzy control, projective synchronization [17], global synchronization, complete [18], hybrid projective [16,19], anti [20,21], combination synchronization [19], combination difference [3,20,22], phase [23], lag [24], combination-combination [16], compound [25], etc. Keeping these discussions in mind, our immediate aim is to design a methodology to investigate hybrid synchronization (HS) in identical chaotic chemical reactor systems using active control method (ACM).…”

“…Moreover, Hu et al [28] in 2008 first developed HS scheme projectively between chaotic systems acquiring applications in secure communication [29]and image encryption [30]. Recently, several research articles are available on chaos synchronization using this technique of control [4,5,6,16,31,32,33]. Nonlinear active control law is chosen here due to its simplistic design.…”

Chaos Controllability in Fractional-Order Systems via Active Dual Combination–Combination Hybrid Synchronization Strategy

“…This concept of fractional differentiation was first raised by French mathematician Guillaume de L'Hôpital in the 17th century on 30 September 1695. Fractional-order differential systems have many applications in various branches, such as biological models [1], image processing [2], robotics [3], information processing [4], and finance models [5], etc.…”

“…hybrid synchronization [22], combination projective synchronization [13], dual combination synchronization (DCS) [23], double compound synchronization [24], combinationdifference synchronization [1], and hybrid projective combination-combination synchronization (CCS) [25]. Dual synchronization is a specialized characteristic of chaos synchronization wherein four identical and non-identical chaotic systems (two masters along with two slave systems) are synchronized.…”