Seminarium Zakładu Równań Różniczkowych i Zastosowań Matematyki
Szanowni Państwo,
Serdecznie zapraszamy na najbliższe seminarium Zakładu Równań Różniczkowych i Zastosowań Matematyki, które odbędzie się w dniu 13.05 (wtorek) w godz. 13:15-14:00 w s. 501 Gm. "B". Referować będzie p. mgr Frank Llovera Trujillo (Politechnika Gdańska, Szkoła Doktorska).
Referat jest związany z procedurą nadania stopnia doktora w dyscyplinie Matematyka. Poniżej znajdą Państwo tytuł oraz streszczenie referatu.
Serdecznie zapraszamy!
Grzegorz Graff,
Justyna Signerska-Rynkowska
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Title: Discrete neuron models from the point of view of dynamical system theory
Abstract: Map-based neuron models are an important tool in modelling neural dynamics and can be considered as an alternative to usually computationally costlier models based on continuous or hybrid dynamical systems. However, due to their discrete nature, rigorous
mathematical analysis might be challenging. I will present new theoretical and numerical results on two well-known map based models, Chialvo model and Courbage-Nekorkin-Vdovin model, as well as algorithms for determining itineraries of periodic orbits which is important from the point of view of determining neuron's spike-patterns fired. The analytical tools involved in this study include, among others, S-unimodal maps, Lorenz-like maps and rotation theory. Our extension of some of the results in these areas, as well as developed algorithms, can be applied in other branches of science and mathematical modeling where unimodal or Lorenz-like maps appear naturally.
The talk is related to the procedure of awarding a PhD degree in Mathematics.