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• W2209302014 abstract "In this paper, the Padé approximant and analytic solution in the neighborhood of the initial value are introduced into the process of constructing the Shilnikov type homoclinic trajectories in three-dimensional nonlinear dynamical systems. The PID controller system with quadratic and cubic nonlinearities, the simplified solar-wind-driven-magnetosphere-ionosphere system, and the human DNA sequence system are considered. With the aid of presenting a new condition, the solutions of solving the boundary-value problems which are formulated for the trajectory and evaluating the initial amplitude values become available. At the same time, the value of the bifurcation parameter is obtained directly, which is almost consistent with the numerical result." @default.
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• W2209302014 date "2013-09-01" @default.
• W2209302014 modified "2023-09-26" @default.
• W2209302014 title "Homoclinic orbits in three-dimensional Shilnikov-type chaotic systems" @default.
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• W2209302014 doi "https://doi.org/10.1088/1674-1056/22/9/090503" @default.
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