Find the Core Switch

Can you imagine how you can do so? If you do no have any special identifier e.g. CDP for Cisco you are not able to identify which L2 device is connected.

Indirectly you can use mac table to see where this mac address comes from but you need to find a mac on your core sw and match up with mac on your big-ip device. If your core sw is multilayer and is a first hope router that you can get arp table on big-ip and find where the mac come from.

tmsh show net arp arp