If you are not domiciled in Connecticut, you may be treated as a Connecticut resident for income tax purposes if you maintain a permanent place of abode in Connecticut throughout the entire taxable year and spend more than 183 days in Connecticut during that year. This rule tracks days only and cannot determine domicile, whether a place of abode qualifies as permanent, or whether an exception applies. The day-count condition is exceeded on day 184.
https://portal.ct.gov/drs/individuals/resident-income-tax/tax-information