I get this question more than any other, and the honest answer starts with what the brand name is doing in your listing.
If the name describes what your product works with, that is nominative use and it is generally allowed. A charging cable that fits an iPhone can say so. A filter made for a Dyson vacuum can name the vacuum. Buyers need that information and no other word does the job.
If the name is there to make your product look like theirs, or to catch their search traffic, that is the case that ends in a takedown. Amazon does not adjudicate the difference. It acts on the complaint and lets you argue afterwards.
The three wording rules
First, your own brand comes first. "AquaClean filter, compatible with Dyson V11" is a description. "Dyson V11 filter" is an impersonation, even if you never claimed to be Dyson.
Second, use the linking phrase every time: compatible with, fits, for use with, replacement for. Never a bare brand name in the title, and never the brand name as the first word.
Third, the brand name must not appear in your brand field, your images, or your search terms as a standalone keyword. The brand field is where most accidental infringements happen, because sellers put the target brand there to "help buyers find it". That field is the one Amazon matches complaints against.
What actually gets reported
From the takedown notices sellers have shown me, the patterns repeat. Titles that start with the other brand's name. Bullets that say "genuine quality" next to a brand you do not own. Backend keywords stuffed with competitor names. Images with the brand's logo, even a small one on the packaging. Rights owners run automated searches for their name on the marketplace, and every one of these shows up.
The mirror image is also true. Listings that name the brand once, after "compatible with", with their own brand in front, and with no logo anywhere, rarely get touched.
Run the check before you publish
Paste the title and bullets into the checker above. It pulls out every brand-like phrase, tells you which ones are registered marks, in which goods and where. Then you see the one that matters: whether the brand you are naming holds a live mark in your class in the countries you sell in. If it does, the compatible-with rules above are not optional. If it does not, you have more room, but I would still write the title as if it did.
One more thing. The word "type", as in "Dyson type filter", is not a safe alternative. It has been treated as trading on the name in complaints just as often as the bare name.