This article is cited in 2 papers

Bifurcation spot on the parametric portrait of the two-dimensional version of the Aliev—Panfilov model

A. V. Moskalenko, S. A. Makhortykh


Abstract: For the first time, a parametric portrait of a two-dimensional version of the Aliev—Panfilov model is presented, indicating the position of the bifurcation boundary and the bifurcation spot on it. The difference between this model and the 'classical' models of autowave processes is demonstrated. Some special cases of the behavior of an autowave vortex are presented, which have not been described in the scientific literature before. The publication is intended primarily for specialists in the fields of mathematical biology, mathematical physics of biological objects and biophysics.

Keywords: mathematical modeling, nonlinear dynamics, bifurcation theory, bifurcation memory, autowave processes.

DOI: 10.20948/prepr-2024-61