E3S Web Conf.
Volume 62, 2018IX International Conference “Solar-Terrestrial Relations and Physics of Earthquake Precursors”
|Number of page(s)||9|
|Section||Geophysical Fields and their Interactions|
|Published online||07 November 2018|
Research dynamic modes of stick-slip effect with the account of hereditarity
1 Institute of Cosmophysical Research and Radio Wave Propagation of the Far Eastern Branch of Russian Academy of Science, 684034, Kamchatskiy kray, Paratunka, Mirnaya str. 7, Russia
2 Vitus Bering Kamchatka State University, 683032, Kamchatskiy kray, Petropavlovsk-Kamchatskiy, Pogranichaya str. 4, Russia
* e-mail: firstname.lastname@example.org
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.
© The Authors, published by EDP Sciences, 2018
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