大肠杆菌基因调控网络耦合二维映射的稳定性与混沌性
Stability and chaos in coupled two-dimensional maps on Gene Regulatory Network of bacterium E.Coli
摘要：
复杂网络上耦合二维混沌映射的集体动力学表现出丰富多样的涌现特性，这些特性在很大程度上取决于底层网络拓扑结构。我们研究了大肠杆菌基因调控网络的有向链接与时滞相互作用的Chirikov标准映射的集体运动。研究了孤立映射在不同耦合形式和耦合强度下的强混沌行为。在较小的耦合强度，网络诱导稳定和连贯的涌现动力学。随着耦合强度的增加，出现的不稳定行为仍然局限于一个连通的子网络。对于适当的耦合，网络表现出统计鲁棒的自组织动力学弱混沌政权。
英文摘要：
The collective dynamics of coupled two-dimensional chaotic maps on complex networks is known to exhibit a rich variety of emergent properties which crucially depend on the underlying network topology. We investigate the collective motion of Chirikov standard maps interacting with time delay through directed links of Gene Regulatory Network of bacterium Escherichia Coli. Departures from strongly chaotic behavior of the isolated maps are studied in relation to different coupling forms and strengths. At smaller coupling intensities the network induces stable and coherent emergent dynamics. The unstable behavior appearing with increase of coupling strength remains confined within a connected sub-network. For the appropriate coupling, network exhibits statistically robust self-organized dynamics in a weakly chaotic regime.
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