### Abstract

Heteroclinic turbulence in the Lotka-Volterra reaction diffusion equation is studied numerically and theoretically, and the statistical, feature is analyzed precisely in reference to the onset mechanism of the turbulence. First, the bifurcation diagram is demonstrated in detail, and a variety of attractors are discussed. It is emphasized that the diversity of the attractor enhances when the system size increases. Next, the transition from a regular attractor to a turbulent one is characterized by a correlation function, as well as by the Lyapunov exponent, where one can observe the scaling laws clearly for the correlation length and the maximum Lyapunov exponent.

Original language | English |
---|---|

Pages (from-to) | 267-271 |

Number of pages | 5 |

Journal | Journal of the Korean Physical Society |

Volume | 50 |

Issue number | 1 I |

Publication status | Published - 2007 Jan |

### Keywords

- Correlation length
- Heteroclinicity
- Lotka-Volterra equation
- Maximum Lyapunov exponent
- May-Leonard model
- Scaling relation
- Spatio-temporal chaos
- Turbulence

### ASJC Scopus subject areas

- Physics and Astronomy(all)

## Fingerprint Dive into the research topics of 'Heteroclinic turbulence in the Lotka-Volterra reaction diffusion equation'. Together they form a unique fingerprint.

## Cite this

Orihashi, K., & Aizawa, Y. (2007). Heteroclinic turbulence in the Lotka-Volterra reaction diffusion equation.

*Journal of the Korean Physical Society*,*50*(1 I), 267-271.