GJurchinovski, Aleksandar
Preferred name
GJurchinovski, Aleksandar
Official Name
GJurchinovski, Aleksandar
Main Affiliation
Email
agjurcin@pmf.ukim.mk
20 results
Now showing 1 - 10 of 20
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Item type:Publication, Amplitude death and chimera patterns in complex networks with time delays(Russian Academy of Sciences, Institute of Applied Physics, Nizhny Novgorod, 2017); - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Relativistic aberration of light as a corollary of relativity of simultaneity(IOP Publishing, 2004-09-02)A new derivation of the relativistic aberration formula for a plane-polarized light wave is presented that does not require any use of the Lorentz transformation. The method is based on a modification of the Huygens-Fresnel principle to include the relativistic effects introduced by the relative motion between the observer and the emitter. The derivation clearly shows that the aberration formula is a direct consequence of the relative simultaneity. - Some of the metrics are blocked by yourconsent settings
Item type:Publication, On numerical solutions of linear fractional differential equations(2021); Fractional differential equations have excited considerable interest recently, both in pure and applied mathematics. In this paper, we apply Fractional Adams-Bashforth Method (FAB), Fractional Adams-Bashforth-Moulton Method (FABM) and Fractional Multistep Differential Transform Method (FMDTM), for obtaining the numerical solutions of two distinct linear systems of fractional differential equations with fractional derivatives described in the Caputo sense. The numerical results for the three methods are compared with the exact solution for each linear system by using the relative difference between the exact and the approximate solution at each integration point. The results are given both graphically and tabularly, concluding that, aside from occasional non-monotoncity for small time values, all three numerical methods gradually diverge from the exact solution with increasing integration time, and the superiority of each numerical method over the others depends on the particular system under investigation. - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Einstein’s mirror and Fermat’s principle of least time(American Association of Physics Teachers (AAPT), 2004-10) - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Aberration of light in a uniformly moving optical medium(American Association of Physics Teachers (AAPT), 2004-07) - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Delayed feedback control of unstable steady states with high-frequency modulation of the delay(2013-09); - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Variable-delay feedback control of unstable steady states in retarded time-delayed systems(2010-01); Urumov, VWe study the stability of unstable steady states in scalar retarded time-delayed systems subjected to a variable-delay feedback control. The important aspect of such a control problem is that time-delayed systems are already infinite-dimensional before the delayed feedback control is turned on. When the frequency of the modulation is large compared to the system's dynamics, the analytic approach consists of relating the stability properties of the resulting variable-delay system with those of an analogous distributed-delay system. Otherwise, the stability domains are obtained by a numerical integration of the linearized variable-delay system. The analysis shows that the control domains are significantly larger than those in the usual time-delayed feedback control, and that the complexity of the domain structure depends on the form and the frequency of the delay modulation. - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Stabilization of unstable steady states by variable delay feedback control(IOP Publishing, 2008-05-27); Viktor UrumovWe report on a dramatic improvement of the performance of the classical time-delayed autosynchronization method (TDAS) to control unstable steady states, by applying a time-varying delay in the TDAS control scheme in a form of a deterministic or stochastic delay-modulation in a fixed interval around a nominal value $T_0$. The successfulness of this variable delay feedback control (VDFC) is illustrated by a numerical control simulation of the Lorenz and R\"{o}ssler systems using three different types of time-delay modulations: a sawtooth wave, a sine wave, and a uniform random distribution. We perform a comparative analysis between the VDFC method and the standard TDAS method for a sawtooth-wave modulation by analytically determining the domains of control for the generic case of an unstable fixed point of focus type. - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Numerical solution and chaotic dynamics of fractional order Lorentz and Chen systems(2019); - Some of the metrics are blocked by yourconsent settings
Item type:Publication,