Abstract. The chaotic, but nondeterministic, structure of the ionosphere and radio wave amplitude and phase scintillation measured on the ground have been simulated using the phase screen model with the power law spectrum of random Gaussian phase fluctuations. Comparison of the information dimension calculated for phase fluctuations on a screen with that for amplitude scintillation at the receiver shows that the original chaotic structure in the ionosphere is completely masked by the propagation effects. Hence the ionospheric turbulence attractor (if it exists) cannot be reconstructed from amplitude scintillation data. On the other hand, measured phase scintillation data adequately reproduce the assumed chaotic structure in the ionosphere. Results of the attractor reconstruction for amplitude scintillation observed at high latitudes show an excellent agreement with our simulation.
IntroductionIn recent years the concepts of chaos and nonlinear dynamics have found application in studying the behavior of various complex systems. Their attractiveness stems from the fact that they provide a relatively simple statistical description of the system. Although the use of the nonlinear dynamics approach does not tell us about the physical nature of a system, the theoretical model of the system should aim in reproducing the results of nonlinear analysis.It is known that ionospheric plasma turbulence causes scintillation of transionospheric radio signals. An important question is what can we learn about the irregular structure from scintillation measurements. The answer to this question is provided by the scintillation theory which relates the measured statistical parameters of scintillation and statistics of irregularities [Yeh and Liu, 1982]. It has been found, for instance, that the phase and amplitude scintillation spectra can be used to deduce the form of the power spectrum of electron density fluctuations. However, the power spectrum does not describe unambiguously the turbulent nature of