This is the only law I'm aware of regarding domestic cats....we don't deal with them so I don't know if there are any other applicable laws:

Sec. 22-339d. Municipal control of feral cats. (a) A municipality may adopt an ordinance requiring the registration, within one year of the adoption of such ordinance, of keepers of feral cats in residential or commercial areas. Such ordinance shall require that any such keeper shall register with the animal control officer for such municipality who shall provide information to the registrant regarding the proper care and management of feral cats. For purposes of this section, "feral cat" means a free-roaming domestic cat which is not owned and "keeper" means any person or organization, harboring, regularly feeding or having in his or its possession any feral cat. Refusal to permit any animal control officer to impound a feral cat shall be deemed evidence of keeping. Such ordinance shall require that such keepers shall provide for the vaccination of such cats against rabies and the sterilization of such cats. Such keeper shall be considered an eligible owner for purposes of the animal population control program established under sections 22-380e to 22-380m, inclusive, provided such cats are adopted from a municipal pound.

(b) A municipality may adopt an ordinance providing that no person owning or keeping any cat shall permit such animal to (1) substantially damage property other than the property of the owner or keeper or (2) cause an unsanitary, dangerous or unreasonably offensive condition. Violation of such provision shall be an infraction.