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

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 whic...

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Veröffentlicht in:AIMS mathematics 2023-01, Vol.8 (10), p.23621-23634
Hauptverfasser: El-Dessoky, M. M., Almohammadi, Nehad, Alzahrani, Ebraheem
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Sprache:eng
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Zusammenfassung: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.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.20231201