Lyapunov exponents of the turbulent replicator dynamics

Kenji Orihashi; Yoji Aizawa

doi:10.1088/1742-6596/31/1/043

Lyapunov exponents of the turbulent replicator dynamics

Kenji Orihashi^*, Yoji Aizawa

^*Corresponding author for this work

Waseda University

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	181-182
Number of pages	2
Journal	Journal of Physics: Conference Series
Volume	31
Issue number	1
DOIs	https://doi.org/10.1088/1742-6596/31/1/043
Publication status	Published - 2006 Mar 22

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1088/1742-6596/31/1/043

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title = "Lyapunov exponents of the turbulent replicator dynamics",

abstract = "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.",

author = "Kenji Orihashi and Yoji Aizawa",

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N2 - 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.

AB - 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.

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Lyapunov exponents of the turbulent replicator dynamics

Abstract

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