Frasila, MihailPaun, Maria-AlexandraDumitras, CatalinGhizdovat, VladRusu, Cristina MarcelaPaun, Vladimir-AlexandruAgop, MaricelPaun, Viorel-Puiu2023-08-142023-08-142023-08-142023-01-01https://infoscience.epfl.ch/handle/20.500.14299/199843WOS:001020946800012Some implications of absolute geometries in the description of complex systems dynamics, at various scale resolutions are highlighted. In such context, by means of an analytic geometry of 2 x 2 matrices, a generalization of the standard velocities space in Fock's sense is obtained. Moreover, in the one-dimensional homographic action case, various chaos transition scenarios (period doubling and intermittences) can be mimed, through the selection of scale resolution.Mathematics, AppliedPhysics, MultidisciplinaryMathematicsPhysicsabsolute geometriescomplex systems dynamics2 x 2 matricesvelocities spacechaos transition scenariosfractal analysismodelformulationtimeSome Physical Implications Of Absolute Geometries In The Description Of Complex Systems Dynamicstext::journal::journal article::research article