Autor:	Geiser, Juergen, Ogiermann, Dennis
Rok vydání:	2019
Předmět:	Mathematics - Numerical Analysis Nonlinear Sciences - Chaotic Dynamics 35K25 35K20 74S10 70G65
Druh dokumentu:	Working Paper
DOI:	10.1063/5.0081365
Popis:	We are motivated to approximate solutions of a Hodgkin-Huxley type model with implicit methods. As a representative we chose a psychiatric disease model containing stable as well as chaotic cycling behaviour. We analyze the bifurcation pattern and show that some implicit methods help to preserve the limit cycles of such systems. Further, we applied adaptive time stepping for the solvers to boost the accuracy, allowing us a preliminary zoom into the chaotic area of the system. Comment: 25 pages, 8 figures, 3 tables
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1905.00697 Zobrazit plný text záznamu View this record from Arxiv