arXiv subjects

Istvan Svab

Publications and source records attributed to Istvan Svab.

2 recordsLinked to original sources

arXiv2013

Limit points and Hopf bifurcation points for a one - parameter dynamical system associated to the Luo - Rudy I model

A one - parameter dynamical system is associated to the mathematical problem governing the membrane excitability of a ventricular cardiomyocyte, according to the Luo-Rudy I model. An algorithm used to construct the equilibrium curve is presented. Some test functions are used in order to locate limit points and Hopf bifurcation points. Two extended systems allow to calculate these points. The numerical results are presented in a bifurcation diagram.

math.NA↗

arXiv2011

Limit cycles by FEM for a one-parameter dynamical system associated to the Luo-Rudy I model

An one-parameter dynamical system is associated to the mathematical problem governing the membrane excitability of a ventricular cardiomyocyte, according to the Luo-Rudy I model. Limit cycles are described by the solutions of an extended system. A finite element method time approximation (FEM) is used in order to formulate the approximate problem. Starting from a Hopf bifurcation point, approximate limit cycles are obtained, step by step, using an arc-length-continuation method and Newton's method. Some numerical results are presented.

math.NA↗