The normal and the bigger alkylcycloalkanes are very stable like alkanes and their reactions (cf. radicalic chain reactions) are like alkanes.
The small alkylcycloalkanes - particularly alkylcyclopropane - has a lower stability due to the Bayer tension. They react similar to alkenes, though they don't react with the EA (cf. electrophilic addition), but with the SN2 (cf. nucleophilic substitution) reaction mechanism. These reactions are both ring opening reactions and cleavage reactions.