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Bifurcation, periodic and chaotic motions of the modified equal width-Burgers (MEW-Burgers) equation with external periodic perturbation

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Abstract

The modified equal width-Burgers (MEW-Burgers) equation is introduced for the first time. The bifurcation behavior of the MEW-Burgers equation is studied. Considering an external periodic perturbation, the periodic and chaotic motions of the perturbed MEW-Burgers equation are investigated by using phase projection analysis, time series analysis, Poincaré section and bifurcation diagram. The strength (\(f_0\)) of the external periodic perturbation plays a crucial role in the periodic and chaotic motions of the perturbed MEW-Burgers equation.

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The author of this article would like to thank the Editor and reviewers for their valuable suggestions and comments which helped to improve the paper.

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  1. Department of Mathematics, Sikkim Manipal Institute of Technology, Sikkim Manipal University, Majitar, Rangpo, East-Sikkim, 737136, India

    Asit Saha

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  1. Asit Saha
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Saha, A. Bifurcation, periodic and chaotic motions of the modified equal width-Burgers (MEW-Burgers) equation with external periodic perturbation. Nonlinear Dyn 87, 2193–2201 (2017). https://doi.org/10.1007/s11071-016-3183-5

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