Some physical implications of absolute geometries in the description of complex systems dynamics

Mihail Frasila,Maria-Alexandra Paun,Catalin Dumitras,Vlad Ghizdovat,Cristina Marcela Rusu,Vladimir-Alexandru Paun,Maricel Agop,Viorel-Puiu Paun

UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS（2023）

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摘要

Some 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.

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关键词

absolute geometries,complex systems dynamics,2 x 2 matrices,velocities space,chaos transition scenarios

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