Hybrid function projective synchronization in complex dynamical networks

Abstract

This paper investigates hybrid function projective synchronization in complex dynamical networks. When the complex dynamical networks could be synchronized up to an equilibrium or periodic orbit, a hybrid feedback controller is designed to realize the different component of vector of node could be synchronized up to different desired scaling function in complex dynamical networks with time delay. Hybrid function projective synchronization (HFPS) in complex dynamical networks with constant delay and HFPS in complex dynamical networks with time-varying coupling delay are researched, respectively. Finally, the numerical simulations show the effectiveness of theoretical analysis.

Complex function projective synchronization of general networked chaotic systems by using complex adaptive fuzzy logic

“…Synchronization of coupled chaotic systems is one of typical collective behaviors in complex networked systems due to its practical applications such as biological neural networks and communication security [10,11]. Several types of synchronization have been investigated [12][13][14][15][16][17][18][19][20][21][22][23]. For example, by using the adaptiveimpulsive control, the complete synchronization for a class of chaotic and hyperchaotic systems is investigated [14].…”

Synchronization of Coupled Neutral-Type Delay Partial Differential Systems

“…A criterion is given for the finite-time H ∞ synchronization, and this criterion also reveals the effect of the spatial domain on the finite horizon H ∞ synchronization. Additional analysis proof about synchronization can be seen [2,35]. At last, numerical examples are given to illustrate the correctness of our results.…”

Parameter Identification and Hybrid Synchronization in an Array of Coupled Chaotic Systems with Ring Connection: An Adaptive Integral Sliding Mode Approach

“…Different synchronization schemes for chaotic systems were studied and investigated [6][7][8][9][10]. Among these schemes, hybrid synchronization [11][12][13][14][15][16][17][18][19] is one in which some of the chaotic systems are synchronized whereas others are antisynchronized. Due to its importance, hybrid synchronization has been the subject of many research works.…”

“…Due to its importance, hybrid synchronization has been the subject of many research works. These works include study of synchronization/antisynchronization for permanent magnet synchronous motors connected in ring topology [11], function projective type synchronization for complex dynamical networks [12], investigation of complete synchronization and antiphase synchronization together [13], hybrid synchronization of networks having heterogeneous systems [14], study of synchronization for fractional-order systems [15], investigation of synchronization for systems with hyperchaotic nature [16,17], and study of synchronization for complex networks [18,19]. Study of hybrid synchronization involves multiple chaotic systems like complete, adaptive, global, projective, and antisynchronization systems [17,[20][21][22][23][24][25][26][27], and synchronization systems in multiple coupled complex networks [28,29].…”