• Condensed Matter Physics
• Nonlinear Dynamics
• Synchronization and Chaos

Theoretician: Solid State, Condensed Matter, Computational 

My main research interests lie in Condensed Matter Physics, focusing on the nonlinear dynamics of various physical systems. It includes various forms of nonlinear behavior; such as, synchronization and chaos, which occur in many different physical systems. I am currently active in at least three research areas: (i) Artificial neural networks and machine learning (ii) Complex networks such as electrical power grids (iii) Systems involving the interaction between superconductivity and magnetism.

• Stabilisation of the Landau—Lifshitz—Gilbert equation for numerical solution via standard methods, A. E. Botha, Scientific Reports 15, 15775 (2025).
• Bifurcations of the superconductor–ferromagnet–superconductor φ₀ Josephson junction, V. Eclerová and A. E. Botha, Commun. Nonlinear Sci. Numer. Simulat. 146, 108777 (2025).
• Chaos in the φ₀ SFS Josephson Junction, J. Tekic, A. E. Botha, M. R. Kolahchi, and Yu. M. Shukrinov, In: Skiadas, C. H., Dimotikalis, Y. (eds) 16th Chaotic Modeling and Simulation International Conference. CHAOS 2023. Springer Proceedings in Complexity (2024).
• Hysteresis and chaos in anomalous Josephson junctions without capacitance, A. A. Mazanik, A. E. Botha, I. R. Rahmonov, and Yu. M. Shukrinov, Phys. Rev. Appl. 22, 014062 (2024).
• Embedding nonlinear systems with two or more harmonic phase terms near the Hopf–Hopf bifurcation, V. Eclerová, L. Pribylová, and A. E. Botha, Nonlinear Dyn. 111, 1537 (2023).
• Chimera Patterns of Synchrony in a Frustrated Array of Hebb Synapses, A. E. Botha, M. Ansariara, S. Emadi and M. R. Kolahchi, Front. Comput. Neurosci. 16, 888019 (2022).
• Probability distribution for heat exchange in plastic deformation, W. Dednam, M. J. Caturla, A. E. Botha, E. SanFabián, J. A. Miralles, E. Louis, Phys. Rev. E 104, 034101 (2021).
• Double and triple resonance behaviour in large systems of LC-shunted intrinsic Josephson junctions, Yu. M. Shukrinov, A. S. Abouhaswa, A. E. Botha, Phys. Lett. A 387, 127025 (2021).
• Analytical criteria for magnetization reversal in a φ₀-Josephson junction, A.A. Mazanik, I. R. Rahmonov, A. E. Botha, Yu. M. Shukrinov, Phys. Rev. Applied 14 (1), 014003 (2020).
• Signs of memory in a plastic frustrated Kuramoto model of neurons, M. Ansariara, S. Emadi, V. Adami, A. E. Botha, M. R. Kolahchi, Nonlinear Dynamics 100, 3685 (2020).

• C1 NRF rating (2019 - 2023)
• Member of the British Institute of Physics (since 2004)

• Synchronization effects in electrical power grids
• Dynamics of  Josephson junctions
• Random number generation
• Neurological modelling