N.Y. Fam. Ct. Act § 479

§ 479. When new security required. After an undertaking has been given\nor cash has been deposited and it shall appear upon proof by affidavit\neither\n (a) that a judgment entered upon default can not be collected; or\n (b) that the liability of the surety has ceased; or\n (c) that the money deposited has been applied in full; or\n (d) that personal service cannot be effected upon the surety or the\nperson depositing the cash; or\n (e) if for any reason the court shall find that there is not\nsufficient security, the court may issue a summons requiring the\nrespondent to appear or a warrant for the arrest of the respondent, and\nrequire him to give new or additional security. In default thereof the\ncourt may commit him under the original order in the manner hereinabove\nprovided.\n