# asymptotic

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Related to asymptotically: Asymptotically stable

## a·symp·tot·ic

(ā'simp-tot'ik),
Pertaining to a limiting value, for example of a dependent variable, when the independent variable approaches zero or infinity.
Farlex Partner Medical Dictionary © Farlex 2012

## a·symp·tot·ic

(ā'simp-tot'ik)
Pertaining to a limiting value (e.g., a dependent variable) when the independent variable approaches zero or infinity.
Medical Dictionary for the Health Professions and Nursing © Farlex 2012
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References in periodicals archive ?
Therefore (27) guarantees [lambda][member of] {z[alpha](z) : [absolute value of z] < 1} and consequently, (23) is asymptotically stable.
[k.sub.a](L,[p.sub.2])) behaves asymptotically as [p.sub.1] (resp.
This clearly indicates the coexistence of two locally asymptotically stable equilibria when [R.sup.*.sub.1] < 1, confirming that model (1) undergoes the phenomenon of backward bifurcation with one stable high-criminality equilibrium [P.sup.+.sub.h] (higher, solid curve in Figure 2), one unstable high-criminality equilibrium [P.sup.-.sub.h] (lowest dashed curve in Figure 2), and one low-criminality equilibrium [P.sub.l].
Further, (i) if [R.sub.0] < 1, the disease-free equilibrium [E.sub.02]([K.sub.p], 0, [[bar.S].sub.h], 0, 0) is locally asymptotically stable and (ii) if [R.sub.0] > 1, the disease-free equilibrium [E.sub.02]([K.sub.p], 0, [[bar.S].sub.h], 0, 0) is unstable and the endemic equilibrium [E.sup.*]([S.sup.*.sub.p], [I.sup.*.sub.p], [S.sup.*.sub.h], [E.sup.*.sub.h], [I.sup.*.sub.h]) exists and is locally asymptotically stable.
Then, the zero solution is asymptotically stable whenever [mathematical expression not reproducible], and [mathematical expression not reproducible].
Liu, "Asymptotically almost periodic solutions of stochastic functional differential equations," Applied Mathematics and Computation, vol.
If [mu]x [less than or equal to] l holds, then the point [E.sup.*] is globally asymptotically stable.
(i) The infection equilibrium without humoral immunity [E.sub.1] is globally asymptotically stable if [R.sub.0] > 1, [R.sub.1] [less than or equal to] 1, and
of system (1) is globally asymptotically stable, if the following matrix
Moreover, similar to the cases in the AdS space and dS space, the specific heat capacity of the black hole in the asymptotically flat space can be expressed as [c.sub.v] ~ [(T - [T.sub.c]).sup.-2/3] , where [T.sub.c] denotes the critical temperature.
For a given [gamma] > 0, the closed-loop system (12) can reach consensus with the desired [H.sub.[infinity]] disturbance attenuation index y, if the following n-1 subsystems are simultaneously asymptotically stable with [mathematical expression not reproducible] for i = 1, 2, ..., n-1.

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