reconstruction to identify tipping points in an eco-epidemiological model," Applied Mathematics and Computation, vol.
The curvilinear boundary is the separatrix
of the fluid flow, which means that only a little fluid flow can cross it.
(2) Under the condition with actuation error, d = R = 0.305 m is the separatrix
. When d > R = 0.305 m, the probe-drogue docking success probability [P.sub.[sigma],d]([sigma],d) remains at a low level with [P.sub.[sigma],d][([sigma], d).sub.max] < 0.5.
The stable manifold [W.sup.s]([E.sub.6]) of the saddle point [E.sub.6] is an increasing separatrix
with endpoint at [E.sub.2], and solutions with initial point above the [W.sup.s]([E.sub.6]) converge to [E.sub.5], while solutions with initial point below the [W.sup.s]([E.sub.6]) converge to [E.sub.4].
The change in neural net combination of neural stem cell when cultured on graphene scaffold surface was investigated, and the results showed that graphene improved the serviceable neural circuits construction and enhanced the nerval behavior and electrophysiological signal of neural net which provided a further comprehension of interactions between neural stem cells with nanobiomaterial surface of grapheme, so it pointed out the great possibility of graphene as nerval separatrix
in nerve tissue regeneration medicine .
Luo, "Imaginary, sink and source flows in the vicinity of the separatrix
of non-smooth dynamic systems," Journal of Sound and Vibration, vol.
Some external stimuli could easily induce "hard resetting" by moving the figurative point across a phase plane separatrix
to a different basin of attraction, which leads to the unsolved question: is what follows the stimulus a new burst (i.e., "hard resetting") or the continuation of the previous one (i.e., "soft resetting")?
Turning around the condition for the separatrix
, we have [rho](0) < c/([bar.k][alpha]); that is, when few people cooperate initially then evolution leads to everybody defecting, and vice versa.
Villarini, Limit cycles and bifurcation from a separatrix
for a polynomial Lienard system in the plane.
and limit cycles of quadratic systems and Dulac's theorem, Trans.
Consequently the trapped electrons undergo acceleration and bunching process within a separatrix
on the phase space of the wakefield.