On the dynamics of a modified Lorenz–Stenflo system

Paulo C. Rech ()
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Paulo C. Rech: Departamento de Física, Universidade do Estado de Santa Catarina, 89219-710 Joinville, Brazil

International Journal of Modern Physics C (IJMPC), 2020, vol. 31, issue 07, 1-7

Abstract: The Lorenz–Stenflo system is a four-parameter four-dimensional autonomous nonlinear continuous-time dynamical system, derived to model the time evolution of finite amplitude acoustic gravity waves in a rotating atmosphere. In this paper, we propose a modified Lorenz–Stenflo system, where the variable x in the fourth equation of the original Lorenz–Stenflo system was replaced by ln|x|. We investigate cross-sections of the parameter-space of this new system, characterizing regions of different dynamical behaviors. We show that the aforementioned replacement may promote the emergence of organized periodic structures in places of these cross-sections, where they did not exist before modification.

Keywords: Lorenz–Stenflo system; parameter planes; period-adding; chaos; periodicity (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1142/S0129183120501041

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