SCL Seminar by Petar Mali

SCL seminar of the Center for the Study of Complex Systems, will be held on Thursday, 15 June 2017 at 14:00 in the library reading room “Dr. Dragan Popović" of the Institute of Physics Belgrade. The talk entitled

"Mode locking in dissipative overdamped Frenkel-Kontorova model driven by external forces"

will be given by Dr. Petar Mali (Department of Physics, Faculty of Sciences, University of Novi Sad).

Abstract of the talk:

Appearance of harmonic and subharmonic Shapiro steps in the overdamped generalized Frenkel-Kontorova model under external forces will be discussed in this talk. Dynamics of the dc+ac driven-dissipative Frenkel-Kontorova model subjected to asymmetric deformable substrate potential will be examined using the largest Lyapunov exponent computational technique. Due to deformation, large fractional and higher-order subharmonic steps appear in the response function of the system and their appearance is connected to Farey sequences. We will show that such a system is non-chaotic in the overdamped limit and compare it with real physical systems, such as charge density waves and stack of Josephson junctions under external radiation.

[1] J. Odavić, P. Mali, J. Tekić, Phys. Rev. E 91, 052904 (2015).
[2] J. Odavić, P. Mali, J. Tekić, M. Pantić, M. Pavkov-Hrvojević, Commun. Nonlinear Sci. Numer. Simulat. 47, 100 (2017).