Agop, ȘtefanaPăun, Vladimir-AlexandruȘtefan, GavrilPetrescu, Tudor-CristianAgop, MaricelPăun, Viorel-Puiu2024-06-202024-06-202021Agop, Stefana, Vladimir-Alexandru Paun, Gavril Ștefan, Tudor–Cristian Petrescu, Maricel Agop, Viorel-Puiu Paun. 2021. ”Implicit chaos in complex systems in the form of period doubling through harmonic mappings”. UPB Scientific Bulletin, Series A: Applied Mathematics and Physics 83 (3): 239-248.2286-3672https://repository.iuls.ro/handle/20.500.12811/4220https://www.scientificbulletin.upb.ro/rev_docs_arhiva/full900_974869.pdfIn the Multifractal Theory of Motion, in the form of Schrödinger – type “regimes”, non – linear behaviors of a complex system are analysed. Then, in the non - stationary case, symmetries of SL(2R)-type for structural units of any complex system can be highlighted. These become functional, for example in the form of period doubling "synchronization mode". This “mode” can mime a possible scenario toward chaos (period doubling scenario), without concluding in chaos (non – manifest chaos).enchaoscomplex systemsfractal analysismultifractalGroup invariancesArticle1223-7027