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Published in 2018 at "Qualitative Theory of Dynamical Systems"
DOI: 10.1007/s12346-017-0230-7
Abstract: We study the Darboux integrability of two differential systems with parameters: the Raychaudhuri equation (a relativistic model in $$\mathbb {R}^4$$R4) and a chemical reaction model in $$\mathbb {R}^5$$R5. We prove that the first one is…
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Keywords:
model mathbb;
first integrals;
complete integrability;
model ... See more keywords
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Published in 2019 at "Journal of Geometry and Physics"
DOI: 10.1016/j.geomphys.2018.09.008
Abstract: Abstract The aim of this paper is to study the algebraic complete integrability of an integrable system, namely the Toda lattice associated to the twisted affine Lie algebra c 2 ( 1 ) . We…
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Keywords:
integrability toda;
algebraic complete;
toda lattice;
complete integrability ... See more keywords
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Published in 2021 at "Physica A: Statistical Mechanics and its Applications"
DOI: 10.1016/j.physa.2021.125924
Abstract: Abstract We report a method to find the complete integrability and analytical scheme of a well-known two dimensional (2D) excitable biophysical system that includes a coupled non-linear ordinary differential equations (ODEs). We demonstrate the integrability…
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Keywords:
integrability biophysical;
method;
analytical scheme;
complete integrability ... See more keywords