Proceeding of International Conference
Michiru Katayama, Tetsushi Ueta, Stabilization of Pseudo-Periodic Solutions in a Mathematical Model of the Stimulus Conduction System, Institute of Electronics, Information and Communication Engineers, Proc. NOLTA2025, pp.223-226, Naha, Oct. 2025.
Abstract: Normal sinus rhythm is achieved when electricalimpulses generated in the sinoatrial node are normallytransmitted to the atria and ventricles via the conductionsystem, which includes the atrioventricular node, the Hisbundle, and Purkinje fibers. However, to maintain optimalblood circulation, in addition to stable sinus rhythm, thecoordinated function of the entire conduction system mustbe sufficiently maintained. The electrocardiogram reflectsthe activity of the entire conduction system, and records notonly normal sinus rhythm, but also electrical changes thatmay interfere with the normal transport of blood, includingarrhythmias and conduction abnormalities.Ventricular fibrillation, one of the most serious arrhythmias,has been noted to have a chaotic electrocardiogramwaveform, and methods to suppress this are of great significancein maintaining the health of patients. In thisstudy, we perform numerical simulations of chaos controlusing pseudo-periodic solutions for intermittent chaos in amathematical model of the conduction system. Intermittentchaos occurs at specific parameters in the model, and theperiodic solution transforms into a chaotic waveform. Thetangential bifurcation that occurs here is accompanied bythe disappearance of the unstable periodic solution, makinga chaos control method using pseudo-periodic solutionseffective. We present the results of numerical calculationsapplying this method to a mathematical model of the conductionsystem, and demonstrate the possibility of applyingit to suppressing arrhythmias.