350 citations · 504 across the 6 of their papers we have counts for
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nlin.CD2004★ 22 cited
Critical exponents of Nikolaevskii turbulence
Dan Tanaka
We study the spatial power spectra of Nikolaevskii turbulence in one-dimensional space. First, we show that the energy distribution in wavenumber space is extensive in nature. Then…
nlin.AO2004★ 350 cited
Robustness of the noise-induced phase synchronization in a general class of limit cycle oscillators
Jun-nosuke Teramae, Dan Tanaka
We show that a wide class of uncoupled limit cycle oscillators can be in-phase synchronized by common weak additive noise. An expression of the Lyapunov exponent is analytically de…
nlin.CD2004★ 25 cited
Chemical turbulence equivalent to Nikolavskii turbulence
Dan Tanaka
We find evidence that a certain class of reaction-diffusion systems can exhibit chemical turbulence equivalent to Nikolaevskii turbulence. The distinctive characteristic of this ty…