Application of high-precision numerical methods to study attractors of dynamical systems

The speaker considers at the seminar the high-precision numerical methods developed for the study of unstable solutions of systems of ordinary differential equations of chaotic type, as well as the search for approximations to unstable cycles of the Lorenz system.

References

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18. The programs for finding of periodic solutions in the Lorenz attractor Source code, https://github.com/alpchelintsev/periodic_sols
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22. A. Pchelintsev, Tri tsikla v attraktore Lorentsa, 2017 https://habrahabr.ru/post/329578/
23. A. Pchelintsev, Ischem tsikly na attraktore Lorentsa v pakete Maxima, 2018 https://habr.com/ru/post/354968/
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