37 citations · 230 across the 12 of their papers we have counts for
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nlin.CD2016★ 10 cited
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…
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…