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- W2040560003 abstract "A three-dimensional autonomous system – the Rucklidge system is considered. By the analytical method, Hopf bifurcation of Rucklidge system may occur when choosing an appropriate bifurcation parameter. Using the undetermined coefficient method, the existence of heteroclinic and homoclinic orbits in the Rucklidge system is proved, and the explicit and uniformly convergent algebraic expressions of Si’lnikov type orbits are given. As a result, the Si’lnikov criterion guarantees that there exists the Smale horseshoe chaos motion for the Rucklidge system." @default.
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- W2040560003 date "2009-11-01" @default.
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- W2040560003 title "Si’lnikov chaos and Hopf bifurcation analysis of Rucklidge system" @default.
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- W2040560003 doi "https://doi.org/10.1016/j.chaos.2009.03.137" @default.
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