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Amplitude-phase synchronization at the onset of permanent spatiotemporal chaos
Abraham C-L Chian1, Rodrigo A Miranda, Erico L Rempel
1National Institute for Space Research (INPE) and World Institute for Space Environment Research (WISER), Post Office Box 515, São José dos Campos-SP 12227-010, Brazil. abraham.chian@gmail.com
Abstract:
Amplitude and phase synchronization due to multiscale interactions in chaotic saddles at the onset of permanent spatiotemporal chaos is analyzed using the Fourier-Lyapunov representation. By computing the power-phase spectral entropy and the time-averaged power-phase spectra, we show that the laminar (bursty) states in the on-off spatiotemporal intermittency correspond, respectively, to the nonattracting coherent structures with higher (lower) degrees of amplitude-phase synchronization across spatial scales.
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