A fractional-order hyperchaotic system and its synchronization

Robust projective outer synchronization of coupled uncertain fractional-order complex networks

“…Note that for the individual node dynamics in FCN (1), many fractional-order chaotic or hyperchaotic systems belong to this class, such as the fractional-order Chua's system [35], fractional-order Arneodo's system [36], fractionalorder "jerk" model [37], fractional-order Rössler system [38], fractional-order Sprott system [39], and fractionalorder hyperchaotic system [40].…”

Parameter identification and synchronization of fractional-order chaotic systems

“…There are several definitions of fractional derivatives [15][16][17][18][19][23][24][25]35,[40][41][42]. Perhaps the two best-known definitions are the Caputo-type definition and Riemann-Liouvile definition.…”

“…As is well known, the complex dynamics of fractional-order chaotic systems has attracted increasing attention in recent years , such as bifurcation [15,22], chaos [16][17][18][19]21,22,24,[27][28][29][30][31], hyperchaos [16,41] and chaos synchronization [33][34][35][36][37][38][39][40][41][42]. Many synchronization methods are valid for fractional-order chaotic systems with known parameters [33][34][35][36][37][38][39][40][41][42]. However, it is difficult to achieve synchronization and identify the parameters in the fractional-order chaotic systems with unknown parameters.…”

Chaos, feedback control and synchronization of a fractional-order modified Autonomous Van der Pol–Duffing circuit

“…Chaos control and synchronization in integer-order differential systems have been studied in-depth [21,22]. Indeed, recently many investigations have been devoted to achieve chaos control and synchronization in fractional-order chaotic and hyperchaotic systems [23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41].…”