2005 GX470 with 108k miles, original owner, new problem. The idle RPM oscillates before engine comes up to normal operating temp. If it's in neutral it drops off to under 500 and zooms up to 1000. If stopped in drive, at traffic light say, the transmission limits the RPM variation but there's a distinct 'bumping' as engine changes speed. Everything back to normal when the engine reaches normal op temperature. No engine check or other warning lights or OBD2 fault code. There *was* a P1445 code (secondary air injection system switching valve No. 2 bank 2 stuck closed) showing after the engine check light and VSC off warning lights came on a few months ago. But the lights later went back off and fault code stopped showing up. I wondering though if it could be related somehow? (secondary air injection system operates when engine is cold, this new thing is also happening when engine is cold). Anyway, I'd appreciate any ideas what could be causing the unstable idle RPM when cold.