Sentence examples for weak focuses from inspiring English sources

The stability of the weak focuses associated to such bifurcation is examined according to the sign of the first Lyapunov value, showing that chaotic behavior can arise when the first Lyapunov value is varied harmonically.

It was used to prevent the exposure of substrates to the weak focusing shots at the beginning of the process before achieving strong focusing action.

There are many similar lenses in use world wide and they have a weaker focusing action compared to more modern designs which omit the pole tip extensions.

The results show that a larger spacing, a larger lens size, a shorter wavelength, or a smaller array scale can lead to a weaker focusing coupling effect.

So λ13 ≠ 0, the origin of system (1.2) is a 13-order weak focus.

So, when condition (3.3) holds, the origin of system (1.7) is a 12th-order weak focus.

2. If ν2 -2π) ≠ 0, the origin of system (2.2) is called 1-order weak focus.

So (P_{1,2}(pmvarepsilon,0)) of (5.1) are fine foci when (deltaneq0), and weak foci or centers when (delta=0).

So when condition in Theorem 4.1 holds, the origin of system (1.1) is a 11th-order weak focus.

So (P_{1,2}(pm varepsilon,0)) of (3.6) are fine foci when (delta neq 0), and weak foci or centers when (delta =0).

They proved that nine limit cycles could bifurcate from the origin when the origin is a weak focus of order eight.