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Hopf bifurcation analysis and numerical simulation in a 4D-hyoerchaotic system

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Abstract

This paper investigates the Hopf bifurcation of a four-dimensional hyperchaotic system with only one equilibrium. A detailed set of conditions is derived which guarantees the existence of the Hopf bifurcation. Furthermore, the standard normal form theory is applied to determine the direction and type of the Hopf bifurcation, and the approximate expressions of bifurcating periodic solutions and their periods. In addition, numerical simulations are used to justify theoretical results.

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Authors and Affiliations

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

    Li Feng & Jin Yinlai

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  1. Li Feng
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  2. Jin Yinlai
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Correspondence to Li Feng.

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Feng, L., Yinlai, J. Hopf bifurcation analysis and numerical simulation in a 4D-hyoerchaotic system. Nonlinear Dyn 67, 2857–2864 (2012). https://doi.org/10.1007/s11071-011-0194-0

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  • DOI: https://doi.org/10.1007/s11071-011-0194-0

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