So there exist stable fixed points or stable period windows in the chaotic regions (e.g. when (alpha>0.921)).
It is observed that some LE values are positive and some are negative, so there exist stable fixed points or stable period windows in the chaotic regions.
Our results also indicate that, in the limit of vanishing Mach number, there exist stable discrete modes in addition to the discrete modes of the Orr-Sommerfeld equation.
mode refers to an operational mode of the dynamical system in which there exist stable fixed points corresponding to multiple activity bumps.
We specify that the system is in the combinatorial mode if there exist stable fixed points with multiple activity bumps, and the network is in the WTA mode if any stable fixed point has exactly one activity bump.
From Figure 2(d), we observe that some Lyapunov exponents are bigger than 0, some are smaller than 0, so there exist stable fixed points or stable period windows in the chaotic region.
From Figure 3(c) and (d), we observe that some Lyapunov exponents are bigger than 0, some are smaller than 0, so there exist stable fixed points or stable period windows in the chaotic region.
For r ∈ ( 2.9, 3.6 ), some Lyapunov exponents are bigger than 0, some are smaller than 0, which implies that there exist stable fixed points or stable period windows in the chaotic region.
From Figure 6(b) we see that some Lyapunov exponents are greater than 0, some are smaller than 0,and thus there exist stable fixed points or period windows in the chaotic region.
However, regardless of the extent of the probabilistic behavior, it is well established that there exist stable protein complexes [47].
