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nlin.CD2004★ 21 cited
Statistics of unstable periodic orbits of a chaotic dynamical system with a large number of degrees of freedom
Mitsuhiro Kawasaki, Shin-ichi Sasa
For a simple model of chaotic dynamical systems with a large number of degrees of freedom, we find that there is an ensemble of unstable periodic orbits (UPOs) with the special pro…
nlin.CD2000★ 2 cited
A fluctuation theorem for phase turbulence of chemical oscillatory waves
Shin-ichi Sasa
Through numerical simulations of the Kuramoto equation, which displays high-dimensional dissipative chaos, we find a quantity representing the cost for maintenance of a spatially n…
nlin.CD2000
A non-equilibrium equality in Hamiltonian chaos
Shin-ichi Sasa
We numerically study a billiard system with a time-dependent force, and our results suggest the existence of a limitation on possible transitions between steady states in Hamiltoni…