▁Empire ▁f ract ured ▁into ▁four ▁k han ates . ▁Two ▁of ▁these , ▁the ▁Y uan ▁dynast y ▁and ▁the ▁Il k han ate , ▁were ▁ruled ▁by ▁the ▁line ▁of ▁Tol ui . ▁The ▁Golden ▁Hor de ▁was ▁founded ▁by ▁the ▁line ▁of ▁J och i , ▁while ▁the ▁Ch ag ata i ▁Khan ate ▁was ▁founded ▁by ▁Ch ag ata i . ▁In ▁ 1 3 0 4 , ▁a ▁peace ▁treat y ▁among ▁the ▁k han ates ▁established ▁the ▁nom inal ▁supre m acy ▁of ▁the ▁Y uan ▁dynast y ▁over ▁the ▁western ▁k han ates . ▁However , ▁this ▁supre m acy ▁was ▁based ▁on ▁nothing ▁like ▁the ▁same ▁found ations ▁as ▁that ▁of ▁the ▁earlier ▁Kh ag ans . ▁Conf lic ts ▁such ▁as ▁border ▁cl ash es ▁among ▁them ▁continued . ▁An ▁example ▁would ▁be ▁the ▁Es en ▁Bu qa – A y ur bar w ada ▁war ▁occurred ▁in ▁the ▁ 1 3 1 0 s . ▁The ▁four ▁k han ates ▁continued ▁to ▁function ▁as ▁separate ▁states ▁and ▁fell ▁at ▁different ▁times . ▁ ▁Y uan ▁dynast y ▁▁ ▁The ▁transition ▁of ▁the ▁capital ▁of ▁the ▁Mong ol ▁Empire ▁to ▁Khan b ali q ▁( D adu , ▁modern - day ▁Be ij ing ) ▁by ▁Kub la i ▁Khan ▁in ▁ 1 2 6 4 ▁was ▁opposed ▁by ▁many ▁Mong ols . ▁Thus , ▁Ari q ▁B ö ke ' s ▁struggle ▁was ▁for ▁keeping ▁the ▁center ▁of ▁the ▁Empire ▁in ▁Mong olia