Research dynamic modes of stick-slip effect with the account of hereditarity
In study with the help of the spectrum of maximal Lyapunov exponents, dynamic regimes of the stick-slip effect were studied with allowance effect of hereditarity. Spectrum of the Lyapunov exponents were constructed using the Wolff algorithm with Gram-Schmidt orthogonalization depending on the values...
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| Format: | Article |
| Language: | English |
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EDP Sciences
2018-01-01
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| Series: | E3S Web of Conferences |
| Online Access: | https://doi.org/10.1051/e3sconf/20186202015 |
| _version_ | 1818862490982809600 |
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| author | Parovik Roman |
| author_facet | Parovik Roman |
| author_sort | Parovik Roman |
| collection | DOAJ |
| description | In study with the help of the spectrum of maximal Lyapunov exponents, dynamic regimes of the stick-slip effect were studied with allowance effect of hereditarity. Spectrum of the Lyapunov exponents were constructed using the Wolff algorithm with Gram-Schmidt orthogonalization depending on the values of the control parametersfriction and adhesion coefficients, as well as fractional index values, which determine the heredity of the dynamical system under consideration. The existence of an area of positive values of the maximum Lyapunov exponents is shown, which indicates the presence of chaotic regimes. Oscillograms and phase trajectories are constructed. |
| first_indexed | 2024-12-19T10:00:42Z |
| format | Article |
| id | doaj.art-f2c218f1a8c74515bc55a9b02dea623c |
| institution | Directory Open Access Journal |
| issn | 2267-1242 |
| language | English |
| last_indexed | 2024-12-19T10:00:42Z |
| publishDate | 2018-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | E3S Web of Conferences |
| spelling | doaj.art-f2c218f1a8c74515bc55a9b02dea623c2022-12-21T20:26:39ZengEDP SciencesE3S Web of Conferences2267-12422018-01-01620201510.1051/e3sconf/20186202015e3sconf_strpep2018_02015Research dynamic modes of stick-slip effect with the account of hereditarityParovik RomanIn study with the help of the spectrum of maximal Lyapunov exponents, dynamic regimes of the stick-slip effect were studied with allowance effect of hereditarity. Spectrum of the Lyapunov exponents were constructed using the Wolff algorithm with Gram-Schmidt orthogonalization depending on the values of the control parametersfriction and adhesion coefficients, as well as fractional index values, which determine the heredity of the dynamical system under consideration. The existence of an area of positive values of the maximum Lyapunov exponents is shown, which indicates the presence of chaotic regimes. Oscillograms and phase trajectories are constructed.https://doi.org/10.1051/e3sconf/20186202015 |
| spellingShingle | Parovik Roman Research dynamic modes of stick-slip effect with the account of hereditarity E3S Web of Conferences |
| title | Research dynamic modes of stick-slip effect with the account of hereditarity |
| title_full | Research dynamic modes of stick-slip effect with the account of hereditarity |
| title_fullStr | Research dynamic modes of stick-slip effect with the account of hereditarity |
| title_full_unstemmed | Research dynamic modes of stick-slip effect with the account of hereditarity |
| title_short | Research dynamic modes of stick-slip effect with the account of hereditarity |
| title_sort | research dynamic modes of stick slip effect with the account of hereditarity |
| url | https://doi.org/10.1051/e3sconf/20186202015 |
| work_keys_str_mv | AT parovikroman researchdynamicmodesofstickslipeffectwiththeaccountofhereditarity |