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UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS Guest
2024-11-22 2:10 |
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Conference: Bucharest University Faculty of Physics 2024 Meeting
Section: Theoretical and Computational Physics, High-Energy Physics, Applied Mathematics
Title:
Elements of Chaos Theory; Applications in Biological Systems
Authors:
Vladimir Ungureanu, Madalina Boca
Affiliation:
University of Bucharest, Department of Physics
E-mail
vladimir.ungureanu@s.unibuc.ro
Keywords:
logistic map, classical chaos, neural bursting
Abstract:
We start with some simple simulations of biological systems such as spreading of a virus or prey-predators models, based on several variants of the logistic map. In each case we study the properties of the temporal evolution of our model systems in their dependence on the parameters of the logistic map. We define and study the attractors and the bifurcations, and then extend our analysis to the theoretical Henon-Heiles system.
Next, we study one of the currently available neuron models: the Morris–Lecar model. We start with a simple presentation of the main characteristics, we define the phenomenon of neural bursting and spiking, and study the bursting behaviors of the Morris-Lecar model.
All the numerical results in presented in our work were obtained with simulation codes written in Python.
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