First integrals in the Brans-Dicke cosmology
classification
🌀 gr-qc
nlin.SI
keywords
integralsbrans-dickecosmologyfirstfrstalgebraicconstructeddarboux
read the original abstract
The work presents the frst and the second degree Darboux polynomials, Jacobi's last multipliers as well as the set of frst integrals for Brans-Dicke cosmology. Algebraic invariant sets are constructed. First integrals are visualized for some particular values of the $\omega$ parameter.
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