A computer system comprises a processor unit arranged to run a hypervisor running one or more virtual machines, a cache connected to the processor unit and comprising a plurality of cache rows, each cache row comprising a memory address, a cache line and an image modification flag and a memory connected to the cache and arranged to store an image of at least one virtual machine. The processor unit is arranged to define a log in the memory and the cache further comprises a cache controller arranged to set the image modification flag for a cache line modified by a virtual machine being backed up, periodically check the image modification flags and write only the memory address of the flagged cache rows in the defined log. The processor unit is further arranged to monitor the free space available in the defined log and to trigger an interrupt if the free space available falls below a specific amount.