darboux polynomials
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2021 ◽  
Vol 8 (1) ◽  
pp. 1-8
Author(s):  
Peter H. van der Kamp ◽  
◽  
D. I. McLaren ◽  
G. R. W. Quispel

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

2017 ◽  
Vol 22 (5) ◽  
pp. 543-550
Author(s):  
Jaume Llibre ◽  
Clàudia Valls

2017 ◽  
Vol 44 (1) ◽  
pp. 15-34
Author(s):  
Oğul Esen ◽  
Ghose Choudhury ◽  
Partha Guha

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.


2017 ◽  
Vol 19 (1) ◽  
Author(s):  
Wálmisson Régis de Almeida ◽  
Marcelo Oliveira Veloso

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