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Exploring chaotic motion through periodic orbits #163

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Datseris opened this issue Mar 23, 2021 · 2 comments
Open

Exploring chaotic motion through periodic orbits #163

Datseris opened this issue Mar 23, 2021 · 2 comments
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@Datseris
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https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.58.2387

image

The authors also apply the algorithm to real-world data, and as such it has a nice place in a numerical package like DynamicalSystems.jl.
@Datseris Datseris added the wanted feature We really want this! label Mar 23, 2021
@awage
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awage commented Jun 23, 2021

One of the possible application of basins_of_attraction is finding UPO of maps with the Newton method (Yorke again):

https://doi.org/10.1016/S0167-2789(99)00138-4

@Datseris
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Datseris commented Jun 2, 2023

unstable periodic orbits can also be used to estimate a fractal dimension https://journals.aps.org/pra/abstract/10.1103/PhysRevA.37.1711 (same group of people again)

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