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- W3100485215 abstract "<p style='text-indent:20px;'>In this paper, we analyze the qualitative dynamics of a generalized Nosé-Hoover oscillator with two parameters varying in certain scope. We show that if a solution of this oscillator will not tend to the invariant manifold <inline-formula><tex-math id=M1>begin{document}$ {(x,y,z)in mathbb R^3|x = 0,y = 0} $end{document}</tex-math></inline-formula>, it must pass through the plane <inline-formula><tex-math id=M2>begin{document}$ z = 0 $end{document}</tex-math></inline-formula> infinite times. Especially, every invariant set of this oscillator must have intersection with the plane <inline-formula><tex-math id=M3>begin{document}$ z = 0 $end{document}</tex-math></inline-formula>. In addition, we show that if a solution is quasiperiodic, it must pass through at least five quadrants of <inline-formula><tex-math id=M4>begin{document}$ mathbb R^3 $end{document}</tex-math></inline-formula>." @default.
- W3100485215 created "2020-11-23" @default.
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- W3100485215 date "2021-01-01" @default.
- W3100485215 modified "2023-10-16" @default.
- W3100485215 title "Qualitative analysis of a generalized Nosé-Hoover oscillator" @default.
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- W3100485215 doi "https://doi.org/10.3934/dcdsb.2020346" @default.
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