Research article Special Issues

Control and adaptive modified function projective synchronization of different hyperchaotic dynamical systems

  • Received: 24 February 2023 Revised: 04 July 2023 Accepted: 07 July 2023 Published: 31 July 2023
  • MSC : 37N35, 34D06, 34H10

  • In this work, we consider an adaptive control method, which is simpler and generalized to obtain some conditions on the parameters for hyperchaotic models determined by using a Lyapunov direct method. Further, an adaptive controller for synchronization is designed by using Lyapunov functions by which the deriving system and the response system can realize adaptive modified function projective synchronization up to scaling matrix. Numerical simulation of each system is discussed in detail with graphical results. The graphical results are presented in detail in order to validate the theoretical results. These results in this article generalize and improve the corresponding results of the recent works.

    Citation: M. M. El-Dessoky, Nehad Almohammadi, Ebraheem Alzahrani. Control and adaptive modified function projective synchronization of different hyperchaotic dynamical systems[J]. AIMS Mathematics, 2023, 8(10): 23621-23634. doi: 10.3934/math.20231201

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  • In this work, we consider an adaptive control method, which is simpler and generalized to obtain some conditions on the parameters for hyperchaotic models determined by using a Lyapunov direct method. Further, an adaptive controller for synchronization is designed by using Lyapunov functions by which the deriving system and the response system can realize adaptive modified function projective synchronization up to scaling matrix. Numerical simulation of each system is discussed in detail with graphical results. The graphical results are presented in detail in order to validate the theoretical results. These results in this article generalize and improve the corresponding results of the recent works.



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