Hopf bifurcation analysis and numerical simulation in a 4D-hyoerchaotic system |
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Authors: | Li Feng Jin Yinlai |
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Institution: | 1.School of Mathematics,Linyi University,Linyi,P.R. China |
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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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Keywords: | |
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