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Adaptive hybrid complex projective combination–combination synchronization in non-identical hyperchaotic complex systems

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Abstract

In this paper, we propose an adaptive hybrid complex projective combination–combination synchronization method to synchronize the hyperchaotic (HC) complex Lorenz system and HC complex Lu system. The adaptive control laws and parameter update laws are derived from making the state of HC complex systems asymptotically stable by using Lyapunov stability theory. During these studies, the coupled HC complex systems (master and slave systems) evolve in a distinct direction with a constant intersection phase angle. Numerical simulations are performed to illustrate the validity and effectiveness of the proposed scheme using MATLAB.

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Authors and Affiliations

  1. Department of Mathematics, Jamia Millia Islamia, New Delhi, India

    Ayub Khan & Uzma Nigar

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  1. Ayub Khan
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  2. Uzma Nigar
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Correspondence to Uzma Nigar.

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Khan, A., Nigar, U. Adaptive hybrid complex projective combination–combination synchronization in non-identical hyperchaotic complex systems. Int. J. Dynam. Control 7, 1404–1418 (2019). https://doi.org/10.1007/s40435-019-00584-z

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  • DOI: https://doi.org/10.1007/s40435-019-00584-z

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