Linearizability of planar polynomial Hamiltonian systems
Linearizability of two-dimensional polynomial Hamiltonian systems are revisited in this paper. The authors provide a new computational procedure to obtain linearizability condition. Necessary and sufficient conditions for linearizability of Hamiltonian systems with homogeneous non-linearities of degrees 5, 6 and 7 are obtained and some sufficient conditions for linearizability of systems with nonhomogeneous nonlinearities of degrees 2, 3 and 5 are presented.
scientific article; zbMATH DE number 7446135
scientific article