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Fractals in Nonlinear Dynamics

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Deterministic Nonlinear Systems

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.

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Anishchenko, V.S., Vadivasova, T.E., Strelkova, G.I. (2014). Fractals in Nonlinear Dynamics. In: Deterministic Nonlinear Systems. Springer Series in Synergetics. Springer, Cham. https://doi.org/10.1007/978-3-319-06871-8_10

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