Turbulence in the One-Dimensional Complex Ginzburg-Landau Equation
A. Zubrzycki
Department of Physics, Technical University, Malczewskiego 29, 26-600 Radom, Poland
Received: November 8, 1994; revised version: January 80, 1995
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The transition to phase and amplitude turbulent states in the one-dimenĀ­sional complex Ginzburg-Landau equation is investigated by a numerical simulation. In order to describe existing attractors quantitatively, the largest Lyapunov exponent is estimated. The largest Lyapunov exponent is positive but small for the phase turbulence and it is much larger for the amplitude turbulence. Moreover, it seems independent on the system size.
DOI: 10.12693/APhysPolA.87.925
PACS numbers: 05.45.+b