Special Session 41: Asymptotic Analysis and Bifurcations of Solutions for Nonlinear Models
On a numerical bifurcation analysis of a particle reaction-diffusion model for a motion of two self-propelled disks
Masaharu Nagayama
Hokkaido University
Japan
Co-Author(s):    Yusuke Yasugahira
Abstract:
Theoretical analysis using mathematical models is often used to understand a mechanism of collective motion in a self-propelled system. Several kinds of characteristic motions have been observed in the experimental system using camphor disks due to the interaction of two camphor disks. In this talk, we understand the emergence mechanism of the motions caused by the interaction of two self-propelled materials by analyzing the global bifurcation structure using the numerical bifurcation method for a mathematical model.
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