Hybrid Function Projective Synchronization of Hyperchaotic Financial Systems via Adaptive Control

Year 2024, Volume: 6 Issue: 4, 257 - 263, 30.11.2024

Vikash . , Ayub Khan , Khursheed Alam

https://doi.org/10.51537/chaos.1552511

Abstract

In this manuscript, we establish hybrid function projective synchronization of a new hyperchaotic system using an adaptive control technique with unknown system parameters. In order to prevent either from deriving from participants in the single hyperchaotic financial system, identical master and slave systems are chosen. We design an adaptive controller to achieve global chaos synchronization between these master and slave systems. The synchronization results are based on adaptive control theory and Lyapunov stability theory. Additionally, we outline the basic dynamic characteristics of both hyperchaotic financial systems. Numerical simulations performed in Matlab validate our results excellently.

Keywords

Fundamental dynamical properties, Adaptive control, Synchronization, Chaotic systems, Lyapunov stability theory

Ethical Statement

This manuscript is prepared with guidelines for conducting scientific research. The study, titled "Hybrid function projective synchronization of hyperchaotic financial systems via adaptive control" is based on theoretical and computational methods, and does not involve anything else, sensitive data, or personal information. We have ensured that all data used and presented are accurate and appropriately cited, and any errors identified will be promptly corrected. Furthermore, we are committed to sharing data and results, ensuring transparency in research practices. The authors affirm that this manuscript is their original work, has not been published elsewhere, and is not currently under consideration for publication in any other venue.

Supporting Institution

N/A

Project Number

2

Thanks

Thanks for providing the opportunity to submit our research paper to CHTA

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