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September 7, 2026
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Researchers at HSE University employed a new method to model hypoxia in placental cells during pregnancies complicated by preeclampsia and identified molecular markers of tissue hypoxia. Since hypoxia is one of the key mechanisms underlying preeclampsia, these findings are important for a more accurate and timely diagnosis of the disease and for the development of effective treatment methods. The paper has been published in Placenta.
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On structural stability of 3-diffeomorphisms with the Smale solenoid attractor–repeller dynamics

Chaos. 2026. Vol. 36. No. 6. Article 063107.
Medvedev T. V., Pochinka O.

We consider 3-diffeomorphisms with source–sink dynamics where Smale solenoids play the role of the source and the sink (NSSS-diffeomorphisms). It is known that such diffeomorphisms exist only on lens spaces. On the 3-sphere, every NSSS-diffeomorphism is associated with an exchangeable braid. An exchangeable braid with the strand number n was constructed for each n   3 in such a way that the NSSS-diffeomorphism on S3 realized for this braid is not structurally stable. The braid of the classic Smale’s example has the strand number 2 and is exchangeable and the technique for n   3 cannot be applied to prove that the corresponding NSSS-diffeomorphism on S3 is not structurally stable. This paper aims to fill this gap.

Research target: Mathematics
Language: English
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Keywords: Smale solenoid structural stabilityattractor–repeller dynamics
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