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The structure of the renormalization-group flows in a model with threequartic coupling constants is studied within the $\epsilon$-expansion method upto three-loop order. Twofold degeneracy of the eigenvalue exponents for thethree-dimensionally stable fixed point is observed and the possibility forpowers in $\sqrt{\epsilon}$ to appear in the series is investigated.Reliability and effectiveness of the $\epsilon$-expansion method for the givenmodel is discussed.Comment: 14 pages, LaTeX, no figures. To be published in Phys. Rev. B, V.57  (1998

physical review. b, condensed matter

Stability of the three-dimensional fixed point in a model with three coupling constants from the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>ε</mml:mi></mml:math>expansion: Three-loop results

Stability of the three-dimensional fixed point in a model with three coupling constants from theεexpansion: Three-loop results