Fractals in Nonlinear Dynamics

Abstract

The geometry of research objects is one of their important characteristics. Geometric properties of the object under study occupy a central place when constructing models, regardless of the specific research subject, and are, in a certain sense, an interdisciplinary characteristic. The geometries of particle trajectories, high-rise buildings, natural landscapes, attractors in phase space, crystal structures, etc., are all important when developing and analyzing models in the natural sciences and engineering.