In this paper, a bifurcation analysis of a recently proposed reduced order cardiac cell model is performed to obtain insights into the mechanisms of control of the sinoatrial node pacemaker activity. The objective is to improve the understanding of cardiac arrhythmias caused by abnormal automaticity. The bifurcation structure of the model is studied as a function of the maximal conductances of ...

All steps of nonlinear system identification represent very challenging theoretical and practical problems, for a general theory is not available. As a result, further investigation on systematic techniques for nonlinear model validation is a relevant research issue that needs to be explored for proper model based controller implementation. Bifurcation analysis and dynamic simulation were emplo...

Controlled Sequential Bifurcation (CSB) is a factor-screening method for discrete-event simulations. It combines a multi-stage hypothesis testing procedure with the original Sequential Bifurcation (SB) procedure, to control both the power for detecting important effects at each bifurcation step and the Type I error for each unimportant factor under heterogeneous variance conditions when a main-...

A singular biological economic model which considers a prey-predator system with time delay and stage structure is proposed in this paper. The local stability at the equilibrium point and the dynamic behavior of the model are studied. Local stability analysis of the model without time delay reveals that there is a phenomenon of singularity-induced bifurcation due to the economic equilibrium. Fu...

This paper studies the bifurcation paths exhibited by a simple second-order dc/dc boost converter under currentprogrammed control with and without voltage feedback. Previous work in this area has reported two distinct types of bifurcation paths, namely via regions of quasi-periodic orbits and perioddoubling. This paper demonstrates that the two different types of bifurcation paths can, in fact,...

In this paper, we study bifurcation structures of period-adding phenomena in an internal wave model that is a mathematical model for ocean internal waves. It has been suggested that chaotic solutions observed in the internal wave model may be related to the universal property of the energy spectra of ocean internal waves. In numerical bifurcation analyses of the internal wave model, we illustra...

Everyday experience shows that twisted elastic filaments spontaneously form loops. We model the dynamics of this looping process as a sequence of bifurcations of the solutions to the Kirchhoff equation describing the evolution of thin elastic filament. The control parameter is taken to be the initial twist density in a straight rod. The first bifurcation occurs when the twisted straight rod def...

This study analyzes a basic mathematical model for the dynamic interactions among tumor cells, infected cells and viruses population, focusing on viral lytic cycle oncolytic virotherapy. I time delay effect of infection cell populations by identifying bifurcation thresholds in both burst rate virus therapy. Time plays an important role changing structure dynamical system. The multi-bifurcation ...