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However, it is still a challenging problem to explore a multiple parameter bifurcation in the system.
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13408_2015_19_MOESM1_ESM.pdf Full one parameter bifurcation diagrams.
The significantly reduced size of the skeletal mechanism, enables the extension of the bifurcation analysis to multiple parameters.
Stability analysis of this bi-gene regulation network is also presented based on parameter bifurcations.
In order to visualize the response of the T cell differentiation network to multiple signals (a primary differentiation signal and two types of polarizing signals), we have employed bidirectional two-parameter bifurcation diagrams, as in [ 69].
Figure 7 Two-parameter bifurcation structure for the desingularized system.
Based on several two-parameter bifurcation diagrams, several parameters affecting the Hopf bifurcation are then discussed.
Periodic solutions arising at some of these bifurcations are numerically studied with a two-parameter bifurcation analysis.
These qualitative changes, called bifurcations, happen at specific values of the parameters termed bifurcation points and are described by a one-parameter bifurcation diagram.
We clarify this unique two-parameter bifurcation diagram as follows.
The two two-parameter bifurcation diagrams share the same primary bifurcation parameter (the primary differentiation signal, S1) on the horizontal axis.
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