Autonomous Dynamical Systems, Explicitly Time Dependent First Integrals, and Gradient Systems
نویسنده
چکیده
Note that the system also admits the independent first integral (c12u1− c23u3)/2, and the dynamical system can be reconstructed using Nambu mechanics. If c 6= 0, then I1, I2 are not first integrals anymore. Now many dissipative dynamical systems such as the Lorenz model and the Rikitake-two disc dynamo admit, depending on the bifurcation parameters, explicitly time-dependent first integrals. These type of first integrals are of the form [3 – 9]
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تاریخ انتشار 2011