Nonpolynomial vector fields under the Lotka-Volterra normal form

Abstract

We carry out the generalization of the Lotka-Volterra embedding to flows not explicitly recognizable under the Generalized Lotka-Volterra format. The procedure introduces appropiate auxiliary variables, and it is shown how, to a great extent, the final Lotka-Volterra system is independent of their specific definition. Conservation of the topological equivalence during the process is also demonstrated.

Cited by in corpus (7)

• Finding complex balanced and detailed balanced realizations of chemical reaction networks
• Algebraic recasting of nonlinear systems of ODEs into universal formats
• Hamiltonian structure and Darboux theorem for families of generalized Lotka-Volterra systems
• A constant of motion in 3D implies a local generalized Hamiltonian structure
• Local Stability and Lyapunov Functionals for n-Dimensional Quasipolynomial Conservative Systems
• Quasipolynomial generalization of Lotka-Volterra mappings
• Algebraic decoupling of variables for systems of ODEs of quasipolynomial form