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nlin.PS2009★ 4 cited
Amplitude equations for a linear wave equation in a weakly curved pipe
Shin-itiro Goto
We study boundary effects in a linear wave equation with Dirichlet type conditions in a weakly curved pipe. The coordinates in our pipe are prescribed by a given small curvature wi…
nlin.PS2007★ 11 cited
Renormalization Reductions for Systems with Delay
Shin-itiro Goto
The renormalization method which is a type of perturbation method is extended to a tool to study weakly nonlinear time-delay systems. For systems with order-one delay, we show that…