37 citations · 230 across the 12 of their papers we have counts for
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nlin.CD2014★ 2 cited
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…
nlin.CD2014★ 25 cited
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…
cond-mat.supr-con2014★ 37 cited
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…