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Hopf bifurcation analysis in a Lorenz-type system

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Abstract

In this technical note, the Hopf bifurcation in a new Lorenz-type system is studied. By analyzing the characteristic equations, the existence of a Hopf bifurcation is established. Some corresponding dynamics are also discussed briefly. Numerical simulations are carried out to illustrate the main theoretical results.

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Acknowledgements

This research is partially supported by the National Nature Science Foundation of China (11201211, 61273012) and Nature Science Foundation of Shandong Province (ZR2012AL04).

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Authors and Affiliations

  1. School of Science, Linyi University, Linyi, 276005, Shandong, P.R. China

    Hongwei Li

  2. Department of Mathematics, Swansea University, Singleton Park, SA2 8PP, UK

    Miao Wang

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  1. Hongwei Li
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  2. Miao Wang
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Correspondence to Hongwei Li.

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Li, H., Wang, M. Hopf bifurcation analysis in a Lorenz-type system. Nonlinear Dyn 71, 235–240 (2013). https://doi.org/10.1007/s11071-012-0655-0

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