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| μ = -0.478 |
Gumowski-Mira Attractor,
x (n+1) = y(n) + a*(1 − b*y (n)^2)*y(n)+ f(x(n))
y (n+1) = − x(n) + f (x(n+1))
f (x) = μ*x + 2*(1−μ)*x^2 /(1+x^2)
a=0.008
b=0.05
using scatter plot in Numbers.
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| μ = -0.800001 |
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| μ = -0.995 |
| adj- adjective n- noun n. proper noun pn- pronoun pn-r. relative pronoun m masculine f feminine n neuter | sg singular pl plural nom nominative gen genitive abl ablative | v- verb vp- participle pf perfect pres present p preposition cj conjunction ij interjection |
| Sanctus, | Sanctus, | Sanctus, |
| vp-pf. | vp-pf. | vp-pf. |
| holy, holy, holy, |
| Dominus | Deus | Sabaoth. |
| n. | n. | n. |
| Lord God Sabaoth |
| Pleni | sunt | caeli | et | terra | gloria | tua. |
| adj-nom.pl.m | v-pres.3pl | n-nom.pl.m | cj | n-nom.sg.f | n-abl.sg.f | adj-abl.2sg.f |
| full they-are skies and land with-glory of-you |
| Hosanna | in | excelsis. |
| ij | p | adj-abl.pl. |
| Hosanna! in elevated-places |
| Benedictus | qui | venit | in | nomine | Domini. |
| vp-pf. | pn-r. | v-pres.3sg | p | n-abl.sg.n | n-gen.sg.m |
| having-been-blessed who he-comes in name of-Lord |
| Hosanna! | in | excelsis. |
| ij | p | adj-abl.pl |
| Hosanna! in elevated-places |