Many thanks for the clarification

I am a landlord that has signed an Assured Shorthold Tenancy agreement with my tenants for a term of 12 months. However, there is a provision in my agreement that states: "It is further agreed that in the absence of a replacement Agreement this Agreement shall be deemed to be extended until such time as at least two calendar months advance written notice is given by either party of their intention to determine this Agreement but without prejudice nevertheless to any claim by either party against the other in respect of any antecedent breach of this Agreement or the conditions herein contained." My question is this: at the end of the 12 month term of the AST can I still insist on 2 months notice being required for the tenants to vacate or am I to understand that since the AST automatically becomes a statutory periodic (or "rolling") tenancy, my original terms are no longer in force, and that the tenants need only give the normal statutory one months notice?