Heteroclinic Turbulence in the Lotka-Volterra Reaction Diffusion Equation

다국어 초록 (Multilingual Abstract)

Heteroclinic turbulence in the Lotka-Volterra reaction diusion 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.m

참고문헌 (Reference)

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