摘要
针对Goldbeter五维果蝇生理节律模型进行了分析,得出系统平衡点的渐近稳定性条件,同时分析了果蝇的生理节律.在L-D循环光照作用下,当果蝇的生物钟处于渐近稳定条件时,利用摄动理论证明系统可以产生周期振荡,且当果蝇的生物钟具有周期解时,系统在一定条件下可能出现倍周期现象.
Based on the analysis of Goldbeter' s five orders Drosophila circadian model, the asymptotic conditions of equilibrium points were derived. Besides, under the condition of L-D cycle and in asymptotic condition, by using perturbation theory analysis the Drosophila circadian oscillation, the paper obtains circadian oscillation. And based on this circadian oscillation, the phenomenon of period-doubling can ocuur under certain conditions.
出处
《江南大学学报(自然科学版)》
CAS
2008年第2期127-131,共5页
Joural of Jiangnan University (Natural Science Edition)
基金
国家自然科学基金项目(10372054)
关键词
L-D循环
渐近稳定性
生理节律
L-D cycle
asymptotic stable
circadian oscillation