Adaptive modified function projective synchronization of hyperchaotic systems with unknown parameters

Modified Function Projective Synchronization Using Feedback Error Control

“…Ref. [8] investigated adaptive modified function projective synchronization of hyperchaotic systems with unknown parameters. Based on active control scheme, a general method of MFPS with time delay was investigated in Ref.…”

“…In most previous proposed references [7][8][9][10][11][12][13], the designed controllers contain some nonlinear terms of the drive and response systems, which are more complicated and hard to implement in practice. In this section, a general simple scheme is proposed in Theorem1 and an adaptive scheme is proposed in Theorem2, which contain only feedback error term and are easy to implement in practice.…”

“…Differ from the ones proposed in [7][8][9][10][11][12][13], our designed controller contain only feedback error term, which is simple and easy to implement in practice. Furthermore, proposed adaptive method can achieve MFPS even not require any additional information regarding the drive system and the feedback gain of the closed loop control…”

“…In most previous proposed references [7][8][9][10][11][12][13], the designed controllers contain some nonlinear terms of the systems, which is more complicated and hard to implement in practice. Differ from the ones proposed in [7][8][9][10][11][12][13], our designed controller contain only feedback error term, which is simple and easy to implement in practice.…”

“…Up to now, many different synchronization regimes have been studied [2][3][4][5][6]. Recently a new type of synchronization, termed as modified function projective synchronization, have been extensively investigated in [7][8][9][10][11][12][13], where the drive and response systems could be synchronized to a desired scaling function matrix. The novelty feature of this synchronization phenomenon is that the scaling functions c an be arbitrarily designed to different state variables by means of control, while the unpredictability of the scaling functions in MFPS can additionally enhance the security of communications.…”