Conn. Gen. Stat. § 46b-115q: Inconvenient forum.

(a) A court of this state which has jurisdiction under this chapter to make a child custody determination may decline to exercise its jurisdiction at any time if it determines that it is an inconvenient forum under the circumstances and that a court of another state is a more appropriate forum. The issue of inconvenient forum may be raised upon a motion of a party, the guardian ad litem for the child or the attorney for the child, the court's own motion or a request of another court.

(b) In determining whether a court of this state is an inconvenient forum and that it is more appropriate for a court of another state to exercise jurisdiction, the court shall allow the parties to submit information and shall consider all relevant factors including: (1) Whether family violence has occurred and is likely to continue in the future and which state could best protect the parties and the child; (2) the length of time the child has resided outside this state; (3) the distance between the court in this state and the court in the state that would assume jurisdiction; (4) the relative financial circumstances of the parties; (5) any agreement of the parties as to which state should assume jurisdiction; (6) the nature and location of the evidence required to resolve the pending litigation, including testimony of the child; (7) the ability of the court of each state to decide the issue expeditiously and the procedures necessary to present the evidence; and (8) the familiarity of the court of each state with the facts and issues in the pending litigation.

(c) If a court of this state determines that it is an inconvenient forum and that a court of another state is a more appropriate forum, it shall stay the proceedings upon condition that a child custody proceeding be promptly commenced in another designated state and may impose any other condition the court considers just and proper.

(d) A court of this state may decline to exercise its jurisdiction under this chapter if a child custody determination is incidental to an action for dissolution of marriage, divorce or another proceeding while still retaining jurisdiction over the dissolution of marriage, divorce or other proceeding.