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• W2028923894 abstract "In this paper, a four-dimensional (4D) continuous-time autonomous hyperchaotic system with only one equilibrium is introduced and analyzed. This hyperchaotic system is constructed by adding a linear controller to the second equation of the 3D Lorenz system. Some complex dynamical behaviors of the hyperchaotic system are investigated, revealing many interesting properties: (i) existence of periodic orbit with two zero Lyapunov exponents; (ii) existence of chaotic orbit with two zero Lyapunov exponents; (iii) chaos depending on initial value w0; (iv) chaos with only one equilibrium; and (v) hyperchaos with only one equilibrium. Finally, two complete mathematical characterizations for 4D Hopf bifurcation are derived and studied." @default.
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• W2028923894 date "2009-06-01" @default.
• W2028923894 modified "2023-09-28" @default.
• W2028923894 title "Hyperchaotic attractors from a linearly controlled Lorenz system" @default.
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• W2028923894 doi "https://doi.org/10.1016/j.nonrwa.2008.02.008" @default.
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