Amplitude-Phase Synchronization at the Onset of Permanent Spatiotemporal Chaos

Abraham C.-L. Chian, Rodrigo A. Miranda, Erico L. Rempel, Yoshitaka Saiki, Michio Yamada
2010 Physical Review Letters  
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
more » ... ronization across spatial scales.
doi:10.1103/physrevlett.104.254102 pmid:20867384 fatcat:jnng26u4dfcpxfxse2bxyvpn6u