GENERALIZED SYNCHRONIZATION AND MEMORY EFFECT IN THE BURRIDGE–KNOPOFF SYSTEM OF THREE BLOCKS

Jacek Szkutnik and Krzysztof Kułakowski ()
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Jacek Szkutnik: Department of Applied Computer Science, Faculty of Physics and Nuclear Techniques, AGH University of Science and Technology, al. Mickiewicza 30, PL-30059 Kraków, Poland
Krzysztof Kułakowski: Department of Applied Computer Science, Faculty of Physics and Nuclear Techniques, AGH University of Science and Technology, al. Mickiewicza 30, PL-30059 Kraków, Poland

International Journal of Modern Physics C (IJMPC), 2004, vol. 15, issue 05, 629-636

Abstract: Recently, synchronization in the Burridge–Knopoff model has been found to depend on the initial conditions. Here we report the existence of three modes of oscillations of the system of three blocks. In one of the modes, two lateral blocks are synchronized. In the second mode, the central block moves with almost constant velocity, i.e., it does not stick. Two lateral blocks do stick and they move in opposite phases. In the third mode, the blocks oscillate with aperiodic amplitude. The lateral blocks move in opposite phases and their frequency is lower than the one for the central block. The mode selected by the system depends on the initial conditions. Numerical results indicate that there is no modes in the phase space.

Keywords: Nonlinear dynamics; friction; dissipative systems; initial conditions; modes (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1142/S0129183104006091

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