Copolymers of olefins or of olefins and non-conjugated dienes with unsaturated derivatives of cyclic imides

A process for obtaining by coordination catalysis a substantially amorphous copolymer containing from 99.9 to about 80% by weight of non-polar units, 80 to 100% of said non-polar units derived from two or more mono-olefins having the formula R--CH.dbd.CH.sub.2 wherein R is a hydrogen atom or an alkyl radical having 1 to 16 carbon atoms and up to about 20% are derived from one or more non-conjugated diene selected from the group consisting of 1,4-hexadiene, methyl-2-pentadiene, 1,4-cyclopentadiene, 1,5-cyclooctadiene, tetrahydro-4,7,8,9-indene, bicyclo(3,2,0) heptadiene-2,6, dicyclopentadiene, and alkylidene-5-norbornene-2, and containing from 0.1 to 20% by weight of polar units derived from one or more cyclic imide having the formula ##STR3## wherein Z is an alkenyl radical having 2 to 16 carbon atoms and wherein A is a hydrocarbon radical selected from the group consisting of saturated bivalent hydrocarbon radicals having 2 to 12 carbon atoms, unsaturated bivalent hydrocarbon radicals having 2 to 12 carbon atoms, amino, halogeno and carboxyl substituted bivalent unsaturated hydrocarbon radicals having 2 to 12 carbon atoms which comprises contacting, at a temperature from -80.degree. C to 150.degree. C, a member selected from the group consisting of a mixture of two or more of said mono-olefins, and a mixture of two or more of said mono-olefins with one or more of said non-conjugated dienes, with one or more of said unsaturated imides in the form of a complex formed with a Lewis acid, in the presence of a catalytic system formed by the association of an organometallic compound of one or more elements of the groups I, II and III of the Mendeleev Periodic Table of the Elements with a compound of a transition metal of groups IV to VIII of said Periodic Table.