Research Institute for Electronic Science, Hokkaido University, N12W7, Kita-ku, Sapporo, 060-0812 Japan ; Research Center for Integrative Mathematics, Hokkaido University, N12W7, Kita-ku, Sapporo, 060-0812 Japan.
Institute of Industrial Science, University of Tokyo, 4-6-1 Komaba, Meguro-ku, Tokyo, 153-8505 Japan.
Cogn Neurodyn. 2014 Feb;8(1):17-26. doi: 10.1007/s11571-013-9259-8. Epub 2013 Jun 15.
Motivated by studies on the dynamics of heterogeneously interacting systems in neocortical neural networks, we studied heterogeneously-coupled chaotic systems. We used information-theoretic measures to investigate directions of information flow in heterogeneously coupled Rössler systems, which we selected as a typical chaotic system. In bi-directionally coupled systems, spontaneous and irregular switchings of the phase difference between two chaotic oscillators were observed. The direction of information transmission spontaneously switched in an intermittent manner, depending on the phase difference between the two systems. When two further oscillatory inputs are added to the coupled systems, this system dynamically selects one of the two inputs by synchronizing, selection depending on the internal phase differences between the two systems. These results indicate that the effective direction of information transmission dynamically changes, induced by a switching of phase differences between the two systems.
受新皮层神经网络中异质相互作用系统动力学研究的启发,我们研究了异质耦合的混沌系统。我们使用信息论度量来研究异质耦合的 Rössler 系统中的信息流方向,我们选择该系统作为典型的混沌系统。在双向耦合系统中,观察到两个混沌振荡器之间的相位差自发且不规则地切换。信息传输的方向以间歇性的方式切换,这取决于两个系统之间的相位差。当将另外两个振荡输入添加到耦合系统中时,该系统通过同步动态地选择两个输入之一,选择取决于两个系统之间的内部相位差。这些结果表明,信息传输的有效方向通过两个系统之间的相位差切换而动态变化。