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- W1979966682 abstract "We define the notion of $varepsilon$-flexible periodic point: it is a periodic point with stable index equal to two whose dynamics restricted to the stable direction admits $varepsilon$-perturbations both to a homothety and a saddle having an eigenvalue equal to one. We show that $varepsilon$-perturbation to an $varepsilon$-flexible point allows to change it in a stable index one periodic point whose (one dimensional) stable manifold is an arbitrarily chosen $C^1$ -curve. We also show that the existence of flexible point is a general phenomenon among systems with a robustly non-hyperbolic two dimensional center-stable bundle." @default.
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- W1979966682 date "2014-03-14" @default.
- W1979966682 modified "2023-09-23" @default.
- W1979966682 title "Flexible periodic points" @default.
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- W1979966682 doi "https://doi.org/10.1017/etds.2013.105" @default.
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