350 citations · 504 across the 6 of their papers we have counts for
6 papers
Swarm-Oscillators
Dan Tanaka
Nonlinear coupling between inter- and intra-element dynamics appears as a collective behaviour of elements. The elements in this paper denote symptoms such as a bacterium having an…
Bifurcation scenario to Nikolaevskii turbulence in small systems
Dan Tanaka
We show that the chaos in Kuramoto-Sivashinsky equation occurs through period-doubling cascade (Feigenbaum scenario), in contrast, the chaos in Nikolaevskii equation occurs through…
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…
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…
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…
On nonlocally coupled complex Ginzburg-Landau equation
Dan Tanaka, Yoshiki Kuramoto
A Ginzburg-Landau type equation with nonlocal coupling is derived systematically as a reduced form of a universal class of reaction-diffusion systems near the Hopf bifurcation poin…