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The interaction is a friction-like term of the form \n \n $$\\Gamma (\\phi )=\\mu \\phi ^{2p}$$<\/jats:tex-math>\n \n \n \u0393<\/mml:mi>\n \n (<\/mml:mo>\n \u03d5<\/mml:mi>\n )<\/mml:mo>\n <\/mml:mrow>\n =<\/mml:mo>\n \u03bc<\/mml:mi>\n \n \u03d5<\/mml:mi>\n \n 2<\/mml:mn>\n p<\/mml:mi>\n <\/mml:mrow>\n <\/mml:msup>\n <\/mml:mrow>\n <\/mml:math>\n <\/jats:alternatives>\n <\/jats:inline-formula>, \n \n $$\\mu >0$$<\/jats:tex-math>\n \n \n \u03bc<\/mml:mi>\n ><\/mml:mo>\n 0<\/mml:mn>\n <\/mml:mrow>\n <\/mml:math>\n <\/jats:alternatives>\n <\/jats:inline-formula>, \n \n $$p\\in {\\mathbb {N}}\\cup \\{0\\}$$<\/jats:tex-math>\n \n \n p<\/mml:mi>\n \u2208<\/mml:mo>\n N<\/mml:mi>\n \u222a<\/mml:mo>\n {<\/mml:mo>\n 0<\/mml:mn>\n }<\/mml:mo>\n <\/mml:mrow>\n <\/mml:math>\n <\/jats:alternatives>\n <\/jats:inline-formula>. The analysis relies on the introduction of a new regular 3-dimensional dynamical systems\u2019 formulation of the Einstein equations on a compact state space, and the use of dynamical systems\u2019 tools such as quasi-homogeneous blow-ups and averaging methods involving a time-dependent perturbation parameter.<\/jats:p>","DOI":"10.1007\/s10884-023-10318-7","type":"journal-article","created":{"date-parts":[[2023,11,6]],"date-time":"2023-11-06T05:01:29Z","timestamp":1699246889000},"page":"1637-1705","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Dynamics of Interacting Monomial Scalar Field Potentials and Perfect Fluids"],"prefix":"10.1007","volume":"37","author":[{"given":"Artur","family":"Alho","sequence":"first","affiliation":[]},{"given":"Vitor","family":"Bessa","sequence":"additional","affiliation":[]},{"given":"Filipe C.","family":"Mena","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2023,11,6]]},"reference":[{"key":"10318_CR1","unstructured":"Brehm, B.: Bianchi VIII and IX vacuum cosmologies: Almost every solution forms particle horizons and converges to the Mixmaster attractor. 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