When (h ge1) and (( b + d )^{2} < 4 ( bd + c )), the positive equilibrium is a stable focus and (a - cphi_{0} < b ( 1 - beta )ln h), then the periodic path line I of the order one in system (4) is asymptotically stable.
When (h ge1) and (( b + d )^{2} < 4 (bd + c )), the positive equilibrium is a stable focus and (a - cphi_{0} < b ( 1 - beta )ln h), then the periodic path line I of order one in system (4) passing the point ((ln h, phi_{0})) is asymptotically stable.
To find the distributed shortest path, periodic broadcasting of the routing table is required.
This network in Fig. 1 was obtained by searching for each periodic gene the shortest paths to all other periodic genes.
The causal membership of a gene in the biological process cell cycle is sufficient to study this problem provided we take information into account regarding the causal interaction paths connecting periodic genes.
This paper focuses on a class of uncertain nonlinear systems which are subject to norm-bounded parameter uncertainty in the forward path and a vector-valued periodic nonlinearity in the feedback path, and addresses robust analysis and synthesis problems for such systems.
First, the removal of an edge destroys the shortest path between two periodic genes and there exists no other path in the TRN that could connect these genes.
If a path exists, connecting two periodic genes, all genes on this path are shown in Fig. 1.
As teams vie to create the next new addition to the periodic table, the best path forward for superheavy-element research remains unclear.
Radiowaves scattered from these swaying tree components have a time varying phase changes due to periodic changes of the path length which results in fading of the received signal.
