Algebraic decoupling of variables for systems of ODEs of quasipolynomial form

DOI10.1016/S0375-9601(98)00957-8zbMath0929.34030arXiv1910.04549OpenAlexW1986029905MaRDI QIDQ1280089

Benito Hernández-Bermejo, Víctor Fairén

Publication date: 9 March 1999

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.04549

zbMATH Keywords

reduction techniquealgebraic variables decouplingquasipolynomial form

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25)

Cites Work

• Lotka-Volterra representation of general nonlinear systems
• Hamiltonian dynamics of Darwin systems
• An indirect method of finding integrals for three-dimensional quadratic homogeneous systems
• Structure and convergence of Poincaré-like normal forms.
• Elementary First Integrals of Differential Equations
• Non-chaotic behaviour in three-dimensional quadratic systems
• Investigation of Painlevé property under time singularities transformations
• Algebraic recasting of nonlinear systems of ODEs into universal formats
• Algebraic structures and invariant manifolds of differential systems
• Poisson structure of dynamical systems with three degrees of freedom
• Hamiltonian structure and Darboux theorem for families of generalized Lotka–Volterra systems
• Nonpolynomial vector fields under the Lotka-Volterra normal form
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Algebraic decoupling of variables for systems of ODEs of quasipolynomial form