Subalgebras of integrals, commutants, and superintegrable deformations of Lotka-Volterra systems

Ian Marquette, Peter H. van der Kamp, G. R. W. Quispel

We consider the Lie-algebraic notion of commutant in the setting of Poisson algebra. This provides a framework for deforming Hamiltonian differential equations. By taking a subalge…