Agop, ȘtefanaPăun, Maria-AlexandraDumitraș, CătălinFrăsilă, MihailPăun, Vladimir-AlexandruAgop, MaricelPăun, Viorel-PuiuȘtefan, Gavril2024-06-122024-06-122023https://www.scientificbulletin.upb.ro/SeriaA_-_Matematica_si_fizica_aplicate.php?page=revistaonline&a=2&arh_an=2023&arh_ser=A&arh_nr=1https://repository.iuls.ro/handle/20.500.12811/4126By operating with the Scale Relativity Theory in the dynamics of complex systems, we can achieve a description of these complex systems through a holographic-type perspective. Then, gauge invariances of a Riccati-type become functional in complex system dynamics, which implies several consequences: conservation laws (in particular, for classical dynamics, the kinetic momentum conservation law), simultaneity and synchronization between the structural units (of a complex system) dynamics, and temporal patterns through harmonic mappings.enUniversity POLITEHNICA of Bucharestharmonic mappingsSL(2R) groupMadelung-type scenarioSchrödinger-type scenarioscale relativity theoryArticle2286-3672