darboux polynomials
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scholarly journals Homogeneous darboux polynomials and generalising integrable ODE systems

2021 ◽  
Vol 8 (1) ◽  
pp. 1-8
Author(s):  
Peter H. van der Kamp ◽  
◽  
D. I. McLaren ◽  
G. R. W. Quispel
Keyword(s):  
Darboux Polynomials ◽  
Ode Systems

scholarly journals Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps

2019 ◽  
Vol 52 (31) ◽  
pp. 31LT01 ◽  
Author(s):  
E Celledoni ◽  
C Evripidou ◽  
D I McLaren ◽  
B Owren ◽  
G R W Quispel ◽  
...  
Keyword(s):  
Rational Maps ◽  
Darboux Polynomials

scholarly journals Darboux polynomials, balances and Painlevé property

2017 ◽  
Vol 22 (5) ◽  
pp. 543-550
Author(s):  
Jaume Llibre ◽  
Clàudia Valls
Keyword(s):  
Darboux Polynomials ◽  
Painlevé Property

scholarly journals On integrals, Hamiltonian and metriplectic formulations of polynomial systems in 3D

2017 ◽  
Vol 44 (1) ◽  
pp. 15-34
Author(s):  
Oğul Esen ◽  
Ghose Choudhury ◽  
Partha Guha
Keyword(s):  
Wave Interaction ◽  
Polynomial Systems ◽  
First Integrals ◽  
Darboux Polynomials ◽  
Oregonator Model ◽  
Interaction Problem

The first integrals of the reduced three-wave interaction problem, the Rabinovich system, the Hindmarsh-Rose model, and the Oregonator model are derived using the method of Darboux polynomials. It is shown that, the reduced three-wave interaction problem, the Rabinovich system, the Hindmarsh-Rose model can be written in a bi-Hamiltonian/Nambu metriplectic form.

scholarly journals Derivations on Polynomial Rings and the Darboux Polynomials

2017 ◽  
Vol 19 (1) ◽  
Author(s):  
Wálmisson Régis de Almeida ◽  
Marcelo Oliveira Veloso
Keyword(s):  
Polynomial Rings ◽  
Darboux Polynomials
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