syslog, rsyslog
https://www.linux.com/topic/networking/remote-logging-syslog-part-1-basics/
https://www.linux.com/audience/enterprise/remote-logging-syslog-part-2-main-config-file/
https://www.linux.com/topic/networking/remote-logging-syslog-part-3-logfile-rules/
https://www.linux.com/topic/desktop/remote-logging-syslog-part-4-log-rotation/