The headword is aorist active infinitive, glossed with four others. The entry = Photius, Lexicon alpha9 Theodoridis, and similar material can be found in Synagoge (Codex B) alpha4 (Lexica Segueriana 3.5-7). Compare also Etymologicum Gudianum 1.8. This particular form is unattested outside lexicography, though it appears as an entry in Apollonius Sophistes, Homeric Lexicon 2.5, and is presumably related to such Homeric forms as we find at alpha 7.
[1] This meaning is unattested for the verb a)a/w (LSJ entry at web address 1).
[2] In that one loses consciousness and control in sleep, as in Homer Odyssey 10.68 (web address 2).

The headword is the third person plural, aorist indicative active, of a)bake/w. This form is found only in Homer, Odyssey 4.249 (web address 1), and the many lexicographical notices generated by it. Of those the most similar to this entry are Photius, Lexicon alpha22 Theodoridis, and Etymologicum Magnum 2.30-31. Compare also Apollonius Sophistes, Homeric Lexicon 2.16; Hesychius alpha54. The glosses offered here and elsewhere probably represent semantic extrapolation from the Homeric context: When Odysseus comes in disguise to Troy, Helen knows who he is but the rest of the people in Troy a)ba/khsan. The translation of the headword, on the other hand, reflects the verb's probable etymological connection with the verb ba/zw 'speak', and the adjective a)bakh/s ('speechless', 'tranquil'). Cf. Chantraine s.v. a)bakh/s, a connection that is sometimes mentioned as a possibility in the ancient scholarship.

The closest parallel to the entry as a whole is Photius, Lexicon alpha34 Theodoridis. Various parts of it appear in other lexica, as noted below.
[1] This part is a paraphrase of what appears in Photius; cf. beta 218.
[2] This part of the entry is not paralleled in other lexica.
[3] This appears as the first gloss in Photius and constitutes the entire entry at Synagoge alpha6; cf. Hesychius alpha101, with neuter/accusative equivalents. Cyril of Alexandria uses the headword frequently in conjunction with kaqaro/s.

cf. generally alpha 32, alpha 33.
[1] Plato Comicus fr. 64 Kock = 65 K.-A. (Phrynichus 48.11). For "cuckoo" alone, in this sense, see e.g. Aristophanes, Acharnians 598 (web address 1 below), and Hesychius s.v. ko/kkuges.