The Lyapunov exponents of the turbulent replicator dynamics with diffusion is numerically studied, and the onset of turbulence as well as the bifurcation process is characterized by the whole spectra of the Lyapunov exponents. The maximum Lyapunov exponent satisfies a scaling law in the turbulent regime, and the dimension of the turbulence and the cascade in the dissipative regime are discussed from the detailed structure of the whole Lyapunov exponents.
|ジャーナル||Journal of Physics: Conference Series|
|出版ステータス||Published - 2006 3月 22|
ASJC Scopus subject areas