Can anyone recommend a program that is able to do hourly incremental backups on ubuntu?

I recommend rsync. Here is an explanation of how rsync works.

https://help.ubuntu.com/community/rsync

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Steve Stites

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There is also dirvish, which uses rsync, and is easier to setup.

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BackupPC is very robust in my experience.
http://backuppc.sourceforge.net/

I have done some work with rsync and grsync. My concern is being able to create incremental backups that will allow me to restore from a specific date and time.

I am looking for a program to replace a very good backup system that was created by a company called "Net Integration" and used in a product called "Nitix". IBM bought this product, changed the name to Lotus Foundations and after several years has dropped the product. To use rsync as a substitute I think a good amount of scripting will be required.

I will look into dirvish to see if this requires less programming. Thank you for your replies