dynamics of a new hyperchaotic system with only one equilibrium point
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ID: 252057
2013
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Abstract
A new 4D hyperchaotic system is constructed based on the Lorenz system. The compound structure and forming mechanism of the new hyperchaotic attractor are studied via a controlled system with constant controllers. Furthermore, it is found that the Hopf bifurcation occurs in this
hyperchaotic system when the bifurcation parameter exceeds a critical value. The direction of the Hopf bifurcation as well as the stability of bifurcating periodic solutions is presented in detail by virtue of the normal form theory. Numerical simulations are given to illustrate and verify the results.
| Reference Key |
li2013journaldynamics
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|---|---|
| Authors | ;Xiang Li;Ranchao Wu |
| Journal | molecular imaging and radionuclide therapy |
| Year | 2013 |
| DOI |
10.1155/2013/935384
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| URL | |
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