scholarly journals Hyperbolicity, transversality and analytic first integrals

2004 ◽  
Vol 196 (2) ◽  
pp. 289-300 ◽  
Author(s):  
Jacky Cresson
Keyword(s):  
First Integrals ◽  
Analytic First Integrals

scholarly journals On the Integrability of a Tritrophic Food Chain Model

2010 ◽  
Vol 10 (2) ◽  
Author(s):  
Jaume Llibre ◽  
Clàudia Valls
Keyword(s):  
Food Chain ◽  
Formal Series ◽  
Complete Characterization ◽  
First Integrals ◽  
Chain Model ◽  
Darboux Polynomials ◽  
Analytic First Integrals ◽  
Exponential Factors ◽  
Food Chain Model

AbstractIn this paper we work with a vastly analyzed tritrophic food chain model. We provide a complete characterization of their Darboux polynomials and of their exponential factors. We also show the non-existence of polynomial first integrals, of rational first integrals, of local analytic first integrals in a neighborhood of the origin, of first integrals that can be described by formal series and of Darboux first integrals.

On the Global Analytic Integrability of the Belousov–Zhabotinskii System

2008 ◽  
Vol 8 (4) ◽  
Author(s):  
Jaume Llibre ◽  
Clàudia Valls
Keyword(s):  
First Integrals ◽  
Analytic Integrability ◽  
Analytic First Integrals

AbstractThe well-known Belousov-Zhabotinskii system can be written asẋ = s(x + y - qxwith f, q, s, w ∈ ℝ and s ≠ 0. In this paper we characterize its global analytic first integrals.

scholarly journals On the absence of additional analytic first integrals of the perturbed Barrara problem

2018 ◽  
Vol 212 ◽  
pp. 01027
Author(s):  
Pavel Sevryukov
Keyword(s):  
Gravitational Potential ◽  
First Integrals ◽  
Analytic First Integrals

We consider the problem of additional analytic first integrals within the known problem of the perturbed motion of a satellite in a field determined by the Barrard gravitational potential. The paper demonstrates the absence of additional (different from known) first integrals of the problem.

Sign in / Sign up

Export Citation Format

Share Document