de·sta·bi·lize 
(dē-stābə-līz′)
(dē-stābə-līz′)tr.v. de·sta·bi·lized, de·sta·bi·liz·ing, de·sta·bi·liz·es
1. To upset the stability or smooth functioning of: a policy that threatens to destabilize the economy; a new weapon that threatens to destabilize nuclear deterrence.
2. To undermine the power of (a government or leader) by subversive or terrorist acts.
de·sta′bi·li·zation (-lĭ-zāshən) n.