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. 
C\u{a}t\u{a}lin Liviu Bichir, Adelina Georgescu, Bogdan Amuzescu,   Gheorghe Nistor, Marin Popescu, Maria-Luiza Flonta, Alex...
math.NA cs.NA