Special Session 23: New trends in pattern formations and dynamics for dissipative systems and related topics
Pulse dynamics on a star-shaped metric graph with different widths
Shin-Ichiro Ei
Josai University Japan
Co-Author(s): Ryota Asami, Haruki Shimatani
Abstract:
The motion of pulses is considered on a star-shaped metric graph composed of paths with different widths. We derive the equation that describes the motion of a pulse based on these widths. As applications, we demonstrate the motion towards the junction for pulses described by the FitzHugh-Nagumo equation and the Gierer-Meinhardt equation.