Mathematics

In the Mathematics Laboratory, we are conducting analysis of various phenomena in nonlinear dynamical systems.
One is the fluctuation effect of synchronization phenomena in chaotic dynamical systems. We have analyzed using probability density functions that inhomogeneous systems are easier to synchronize than homogeneous systems, and we are considering further rigorous and detailed analysis.
The other is a study of the dynamic behavior of coupled map lattices, in which each element exhibits chaotic behavior while being diffusively coupled, using the nonlinear Frobenius-Perron equation. To make it easier to analyze using the nonlinear Frobenius-Perron equation, we use piecewise linear maps to study the characteristics of dynamics with an infinite number of elements, which does not exist in systems with a sufficiently large number of elements.
Another major goal of the department, which is responsible for basic education, is to provide students with easy-to-understand lectures, interesting practical training, and education that will lead to subsequent medical research. In recent years, students assigned to basic research departments have been receiving basic statistical education, with the aim of providing education that will be useful for future research in basic medicine and clinical medicine.