Joint time-frequency analysis of synchronized chaos
Department of Physics, National Cheng Kung
University Tainan 70101, Taiwan, PRC
2 Department of Applied Physics, Tokai University 1117 Kitakaname, Hiratsuka, Kanagawa 259-1292 Japan
Accepted: 18 December 2001
Joint time-frequency analysis (JTFA) which expands signal in both time and frequency domain is widely used to study non-stationary time series. In this paper, a generalized JTFA is proposed to study the synchronization of chaos. A similarity function constructed from generalized time-frequency spectra was used to reveal phase portrait of synchronized chaos. This scheme is applied to analyze the experimental data sets of unsynchronized, phase-squeezed and synchronized chaos from a recent experiment with microchip solid-state laser array. When synchronized chaos established, a mirror symmetry appeared in the portrait together with power law distribution self-similar structure. Similar power law scaling is also found numerically for the Lorenz model.
PACS: 07.05.Kf – Data analysis: algorithms and implementation; data management / 05.45.Xt – Synchronization; coupled oscillators / 42.65.Sf – Dynamics of nonlinear optical systems; optical instabilities, optical chaos and complexity, and optical spatio-temporal dynamics
© EDP Sciences, 2002