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In this paper we consider the normalization of quadratic Hamiltonian. We get the new method to find the generating function of the canonical transformation. We obtain the solution of the system of matrix equations to find this transformation. The corresponding Hamiltonian matrix has multiply eigenvalues. where E n is identity matrix. With canonical transformation we find the normal form of Hamiltonian matrix JΩ:doi:10.1051/matecconf/201710604014 fatcat:nfc4ipnerbfojmu4vl5yxwlfq4