33 citations · 199 across the 35 of their papers we have counts for
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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…
nlin.CD2007★ 1 cited
From a unstable periodic orbit to Lyapunov exponent and macroscopic variable in a Hamiltonian lattice : Periodic orbit dependencies
Shin-itiro Goto
We study which and how a periodic orbit in phase space links to both the largest Lyapunov exponent and the expectation values of macroscopic variables in a Hamiltonian system with…