Amplitude-phase synchronization at the onset of permanent spatiotemporal chaos.
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.
Chian
Abraham C-L
AC
National 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
Miranda
Rodrigo A
RA
Rempel
Erico L
EL
Saiki
Yoshitaka
Y
Yamada
Michio
M