How do I detect a network process that runs every hour

Clarifications

If they are windows servers you can open a command prompt and type in "netstat -b" without the quotes of course :p and it will list each network connection and which process/application owns the traffic on the port.

Windows Process Monitor works well.
http://technet.microsoft.com/en-us/sysinternals/bb896645

And, although there is risk of killing the server if you're not careful, ps tools will let you monitor, kill processes.

http://technet.microsoft.com/en-us/sysinternals/bb896649

The tools included in the PsTools suite, which are downloadable as a package, are:

PsExec - execute processes remotely
PsFile - shows files opened remotely
PsGetSid - display the SID of a computer or a user
PsInfo - list information about a system
PsKill - kill processes by name or process ID
PsList - list detailed information about processes
PsLoggedOn - see who's logged on locally and via resource sharing (full source is included)
PsLogList - dump event log records
PsPasswd - changes account passwords
PsService - view and control services
PsShutdown - shuts down and optionally reboots a computer
PsSuspend - suspends processes
PsUptime - shows you how long a system has been running since its last reboot (PsUptime's functionality has been incorporated into PsInfo)

Moo0 ConnectionWatcher. Moo0 ConnectionWatcher lets you watch over any TCP/UDP connections from/to your PC. Using this program, you may discover which programs send/receive information with whom in detail.
http://www.moo0.com/