What behaviour of cats is considered as recognising their owners

Generally after following you for a long time, the cat will appear to rub its body against yours, like to sleep next to you, be very enthusiastic about you, wag its tail at you when it sees you, like to snuggle next to you, be willing to be petted by you, be particularly clingy and can sleep very peacefully at home, then the cat is feeling good with you.

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