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A novel chaos control strategy for discrete-time Brusselator models

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Abstract

This article deals with the dynamical analysis of discrete-time Brusselator models. Euler’s forward and nonstandard difference schemes are implemented for discretization of Brusselator system. We investigate the local dynamics related to equilibria of both discrete-time models. Furthermore, with the help of bifurcation theory and center manifold theorem, explicit parametric conditions for directions and existence of flip and Hopf bifurcations are investigated. A novel chaos control method is implemented in order to control chaos in discrete-time Brusselator models under the influence of flip and Hopf bifurcations. Numerical simulations are provided to illustrate theoretical discussion and effectiveness of newly introduced chaos control strategy.

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Acknowledgements

The author thanks the main editor and anonymous referees for their valuable comments and suggestions leading to improvement of this paper.

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  1. Department of Mathematics, The University of Poonch Rawalakot, Rawalakot, Pakistan

    Qamar Din

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  1. Qamar Din
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Din, Q. A novel chaos control strategy for discrete-time Brusselator models. J Math Chem 56, 3045–3075 (2018). https://doi.org/10.1007/s10910-018-0931-4

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  • DOI: https://doi.org/10.1007/s10910-018-0931-4

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