Journal of Mathematical Chemistry

, Volume 56, Issue 10, pp 3045–3075 | Cite as

A novel chaos control strategy for discrete-time Brusselator models

  • Qamar Din
Original Paper


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.


Brusselator model Local stability Flip bifurcation Hopf bifurcation Chaos control 



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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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  1. 1.Department of MathematicsThe University of Poonch RawalakotRawalakotPakistan

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