37 citations · 230 across the 12 of their papers we have counts for
13 papers
Hysteresis and chaos in anomalous Josephson junctions without capacitance
A. A. Mazanik, A. E. Botha, I. R. Rahmonov +1
Usually, overdamped Josephson junctions do not exhibit chaotic behavior in their phase dynamics, either because the phase space dimension is less than three (as in the case of a si…
Simulation of the Einstein-de Haas effect combining molecular and spin dynamics
W. Dednam, C. Sabater, A. E. Botha +3
The spin and lattice dynamics of a ferromagnetic nanoparticle are studied via molecular dynamics and with semi-classical spin dynamics simulations where spin and lattice degrees of…
Bifurcation structure and chaos in nanomagnet coupled to Josephson junction
M. Nashaat, M. Sameh, A. E. Botha +2
Recently an irregular easy axis reorientation demonstrating the Kapitza pendulum features were observed in numerical simulations of nanomagnet coupled to the Josephson junction. To…
Analytical criteria for magnetization reversal in Josephson junction
A. A. Mazanik, I. R. Rahmonov, A. E. Botha +1
The Josephson junctions formed by ordinary superconductors and a magnetic non-centrosymmetric interlayer are studied. We derive an analytical solution for the magnetization d…
Directional bonding explains high conductance values of atomic contacts in bcc metals
W. Dednam, C. Sabater, M. R. Calvo +4
Atomic-sized junctions of iron, created by controlled rupture, present unusually high values of conductance compared to other metals. This result is counter-intuitive since, at the…
Re-orientation of easy axis in junction
Yu. M. Shukrinov, A. Mazanik, I. R. Rahmonov +2
We study theoretically a dynamics of junction with direct coupling between magnetic moment and Josephson current which shows features close to Kapitza pendulum. We have found…
Devil's Staircases in SFS Josephson Junctions
M. Nashaat, A. E. Botha, Yu. M. Shukrinov
We study the effect of coupling between the superconducting current and magnetization in the superconductor/ferromagnet/superconductor Josephson junction under an applied circularl…
Characteristic distribution of finite-time Lyapunov exponents for chimera states
A. E. Botha
It is shown that probability densities of finite-time Lyapunov exponents, corresponding to chimera states, have a characteristic shape. Such distributions could be used as a signat…
Computer Assisted 'Proof' of the Global Existence of Periodic Orbits in the Rössler System
A. E. Botha, W. Dednam
The numerical optimized shooting method for finding periodic orbits in nonlinear dynamical systems was employed to determine the existence of periodic orbits in the well-known Röss…
Optimized shooting method for finding periodic orbits of nonlinear dynamical systems
W. Dednam, A. E. Botha
An alternative numerical method is developed to find stable and unstable periodic orbits of nonlinear dynamical systems. The method exploits the high-efficiency of the Levenberg-Ma…
Structured Chaos in a Devil's Staircase of the Josephson Junction
Yu. M. Shukrinov, A. E. Botha, S. Yu. Medvedeva +2
The phase dynamics of Josephson junctions under external electromagnetic radiation is studied through numerical simulations. Current-voltage characteristics, Lyapunov exponents and…
Devil's Staircases and Continued Fractions in the Josephson Junctions
Yu. M. Shukrinov, S. Yu. Medvedeva, A. E. Botha +2
The detailed numerical simulations of the IV-characteristics of Josephson junction under external electromagnetic radiation show devil's staircases within different bias current in…
Manifestation of Resonance-Related Chaos in Coupled Josephson Junctions
Yu. M. Shukrinov, M. Hamdipour, M. R. Kolahchi +2
Chaotic features of systems of coupled Josephson junctions are studied. Manifestation of chaos in the temporal dependence of the electric charge, related to a parametric resonance,…