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Inertial effects in the dc+ ac driven underdamped Frenkel-Kontorova model: Subharmonic steps, chaos, and hysteresis
The effects of inertial terms on the dynamics of the dc+ ac driven Frenkel-Kontorova model
were examined. As the mass of particles was varied, the response of the system to the …
were examined. As the mass of particles was varied, the response of the system to the …
Stability of synchronization in dissipatively driven Frenkel-Kontorova models
S Slijepčević - Chaos: An Interdisciplinary Journal of Nonlinear …, 2015 - pubs.aip.org
We rigorously show that dissipatively driven Frenkel-Kontorova models with either uniform
or time-periodic driving asymptotically synchronize for a wide range of initial conditions. The …
or time-periodic driving asymptotically synchronize for a wide range of initial conditions. The …
The energy flow of discrete extended gradient systems
S Slijepčević - Nonlinearity, 2013 - iopscience.iop.org
We study the energy flow of spatially discrete, extended gradient systems (infinite lattices),
allowing the total energy to be infinite and considering formally gradient dynamics. We show …
allowing the total energy to be infinite and considering formally gradient dynamics. We show …
Dynamics of the Frenkel–Kontorova model with irrational mean spacing
WX Qin - Nonlinearity, 2010 - iopscience.iop.org
In this paper we focus on the dynamics of the overdamped limit case of the Frenkel–
Kontorova (F–K) model with irrational mean spacing. We extend the results of Baesens and …
Kontorova (F–K) model with irrational mean spacing. We extend the results of Baesens and …