You would not want to support your children?

They will still need food , clothing and shelter wherever they live.

I don't know if Canada collects from US citizens , so you may or may not be dragged into court and forced to pay.

A man would send the support and be morally correct along with gaining the dignity doing the right thing for his children will bring.

Yes, you are under a court order and you have a legal as well as a moral obligation to support, at least your children.

Whether Canada will assist in collecting from you is the only question. Hopefully they will.

Yes there are even groups that help collect from Canada.

Next how will you be living there, what type of visa, and of course when they issue a warrant, it makes coming across the border harder