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- W3200466812 abstract "<p style='text-indent:20px;'>Any <inline-formula><tex-math id=M3>begin{document}$ C^d $end{document}</tex-math></inline-formula> conservative map <inline-formula><tex-math id=M4>begin{document}$ f $end{document}</tex-math></inline-formula> of the <inline-formula><tex-math id=M5>begin{document}$ d $end{document}</tex-math></inline-formula>-dimensional unit ball <inline-formula><tex-math id=M6>begin{document}$ {mathbb B}^d $end{document}</tex-math></inline-formula>, <inline-formula><tex-math id=M7>begin{document}$ dgeq 2 $end{document}</tex-math></inline-formula>, can be realized by renormalized iteration of a <inline-formula><tex-math id=M8>begin{document}$ C^d $end{document}</tex-math></inline-formula> perturbation of identity: there exists a conservative diffeomorphism of <inline-formula><tex-math id=M9>begin{document}$ {mathbb B}^d $end{document}</tex-math></inline-formula>, arbitrarily close to identity in the <inline-formula><tex-math id=M10>begin{document}$ C^d $end{document}</tex-math></inline-formula> topology, that has a periodic disc on which the return dynamics after a <inline-formula><tex-math id=M11>begin{document}$ C^d $end{document}</tex-math></inline-formula> change of coordinates is exactly <inline-formula><tex-math id=M12>begin{document}$ f $end{document}</tex-math></inline-formula>.</p>" @default.
- W3200466812 created "2021-09-27" @default.
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- W3200466812 date "2021-01-01" @default.
- W3200466812 modified "2023-09-27" @default.
- W3200466812 title "Realizing arbitrary $d$-dimensional dynamics by renormalization of $C^d$-perturbations of identity" @default.
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- W3200466812 doi "https://doi.org/10.3934/dcds.2021129" @default.
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