The invention relates inter alia to halogen-substituted compounds of the general formula (I) in which the substituents A1, R1-R3 and Z1-Z3 have the meanings given in the description. Also described are processes for preparing the compounds of the formula (I) and possible intermediates for the preparation of these compounds. The compounds according to the invention are particularly suitable for controlling insects, arachnids and nematodes in agriculture and ectoparasites in veterinary medicine.