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Robustness of the noise-induced phase synchronization in a general class of limit cycle oscillators.

- Jun-nosuke Teramae, Dan Tanaka
- Physical review letters
- 2004

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 derived to study theâ€¦ (More)

- Yutaka Sumino, Ken H Nagai, +4 authors Kazuhiro Oiwa
- Nature
- 2012

Spontaneous collective motion, as in some flocks of bird and schools of fish, is an example of an emergent phenomenon. Such phenomena are at present of great interest and physicists have put forwardâ€¦ (More)

- Dan Tanaka
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2004

We find evidence that a certain class of reaction-diffusion (RD) systems can exhibit chemical turbulence equivalent to Nikolaevskii turbulence. We study an extended complex Ginzburg-Landau (CGL)â€¦ (More)

- Dan Tanaka, Yoshiki Kuramoto
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2003

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 point and in theâ€¦ (More)

- Satoshi Nakata, Kazuya Miyazaki, Suguru Izuhara, Hirokazu Yamaoka, Dan Tanaka
- The journal of physical chemistry. A
- 2009

We study the Arnold tongue of a nonlinear electrochemical oscillator entrained to an electrical periodic forcing. In our system, the width of the 1:3 entrainment region was broader than that of theâ€¦ (More)

- Dan Tanaka
- Physical review letters
- 2007

We propose a general chemotactic model describing a system of interacting elements. Each element in this model exhibits internal dynamics, and there exists a nonlinear coupling between elements thatâ€¦ (More)

- Masatomo Iwasa, Kazuki Iida, Dan Tanaka
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2010

Swarm oscillator model derived by one of the authors (Tanaka), where interacting motile elements form various kinds of patterns, is investigated. We particularly focus on the cluster patterns inâ€¦ (More)

- Dan Tanaka
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2005

We study the spatial power spectra of Nikolaevskii turbulence in one-dimensional space. First, we show that the energy distribution in wave-number space is extensive in nature. Then, we demonstrateâ€¦ (More)

- Masatomo Iwasa, Dan Tanaka
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2010

We investigate what is called swarm oscillator model where interacting motile oscillators form various kinds of ordered structures. We particularly focus on the dimensionality of clusters whichâ€¦ (More)

- Dan Tanaka
- 2017