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Never experienced too much weird behavior. (May have grown accustomed to it.) Brings up a personal favorite pet story, though.
Set up a fake tree for Christmas. Measured maybe seven feet tall. Decorated it with ornaments and a simple cloth angel at the top. (Maybe lights too? Recounts no issues of chewing wires.) Garnered some interest from the cats, but not tons. Hung out in the lower branches mainly. Knocked down an ornament occasionally (onto carpeting) while climbing it.
Left for a few hours one day. Returned home. Discovered the angel on the floor with its head torn off. Never touched the angel on any other day. Decided to behead it that day.