report a snapshot of the current processes

If you want a repetitive update of the selection and the displayed information, use top instead.

ps accepts several kinds of options:

ps aux vs ps -aux, the latter print all processes owned by user named 'x'

By default, ps selects all processes with the same effective user ID (euid=EUID) as the current user and associated with the same terminal as the invoker. It displays the process ID(pid=PID), the terminal associated with the process (tname=TTY), the cumulated CPU time in [DD-]hh:mm:ss format (time=TIME), and the executable name (ucmd=CMD). Output is unsorted by default.