In this paper we use the Lie symmetry method for finding rational and transcendental symmetry transformations and invariants for the 3D Lotka–Volterra system.
In this paper we use the Ziglin-Yoshida method to discuss the determination of nonintegrability domains for some classes of homogeneous hamiltonian systems. In particular, we demonstrate the non-integrability of the St ormer problem through the reduction of the system to a two-dimensional homogeneous potential. We have also found the nonintegrability domains of potentials of the form
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