Algebraic decoupling of variables for systems of ODEs of quasipolynomial form

Abstract

A generalization of the reduction technique for ODEs recently introduced by Gao and Liu is given. It is shown that the use of algebraic methods allows the extension of the procedure to much more general flows, as well as the derivation of simple criteria for the identification of reducible systems.

References in corpus (3)

• Algebraic recasting of nonlinear systems of ODEs into universal formats
• Nonpolynomial vector fields under the Lotka-Volterra normal form
• Hamiltonian structure and Darboux theorem for families of generalized Lotka-Volterra systems

Cited by in corpus (2)

• Quasipolynomial generalization of Lotka-Volterra mappings
• Embedded discrepancy operators in reduced models of interacting species