Open AccessModified Lorenz-Malkus water wheel model: dry friction versus chaos
Author(s) -
Evgeny A. Karpov,
Михаил Е. Семенов,
Peter A. Meleshenko,
A. F. Klinskikh,
R. E. Pervezentcev,
M. Yu Glazkova
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1368/4/042044
Subject(s) - dry friction , lyapunov exponent , chaotic , bifurcation , lorenz system , control theory (sociology) , friction coefficient , mathematics , chaos (operating system) , mechanics , statistical physics , physics , computer science , nonlinear system , materials science , control (management) , quantum mechanics , artificial intelligence , composite material , computer security
In this paper, we propose a model of the water wheel under dry friction (the modi ed Lorenz-Malkus system). Dynamical features of this system are investigated and analyzed depending on the dry friction parameter. Particularly, we present the analysis of stationary points, Lyapunov exponents, bifurcation diagrams, and stochastic properties of the considered system. Based on the results of numerical simulations we showed that the dry friction may serve an effective mechanism to control the chaotic dynamics.