You can still list your children on your tax return then indicate that you are not claiming them as a dependent if this year you cannot claim them based on court arrangements; however, listing them isn't going to give you any benefits unless you were going to be able to claim them. Sometimes in this situation where you know that you cannot claim them it's easier to just leave them off your return.
There is a
special rule in the case of divorced & separated (including never married) parents.
When the non-custodial parent is claiming the child as a
dependent/exemption/child tax credit; the custodial parent is still allowed to
claim the same child for Earned Income Credit, Head of Household filing status,
and day care credit. This "splitting of the child" is not available
to parents who lived together at any time during the last 6 months of the year;
then only one of you can claim the child for any tax reasons. The tax benefits
may not be split in any other manner.
Note in particular that the non-custodial parent can never claim the Earned Income Credit, Head of Household filing status or the day care credit, based on that child, even when the custodial parent has released the exemption to him.
So, it's good idea to let the other parent know that you will be claiming those items, as many first time divorced parents are not aware of this rule and may try to claim those items, which will cause the IRS to send out letters.
Ref: http://www.irs.gov/publications/p17/ch03.html#en_US_2014_publink1000170897 Scroll down to "Children of divorced or separated parents (or parents who live apart)"