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arXiv · 2212.05467

Invariant cones for strange attractors of Lozi, H\'{e}non and Belykh type maps

Dina Grechko·Vladimir Belykh·Nikita Barabash
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Abstract

We consider strange attractors of two dimensional generalized map with one nonlinearity such that Lozi, H\'{e}non and Belykh maps are particular cases of it. We describe technique of invariant expanding and contracting cones creation for study of hyperbolic properties. Theorems of singular hyperbolic attractors for new modifications of Lozi, H\'{e}non and Belykh-type maps are presented.

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Dina Grechko, Vladimir Belykh, Nikita Barabash. 2022-12-11. Invariant cones for strange attractors of Lozi, H\'{e}non and Belykh type maps. https://arxiv.org/abs/2212.05467

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