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STAFF   Jeroen Lamb     Martin Rasmussen     Dmitry Turaev     Sebastian van Strien   HONORARY STAFF Tiago Pereira POSTDOCS Dongchen Li Iacopo Longo Eeltje Nijholt Doan Thai Son PHD STUDENTS Bernat Bassols-Cornudella Chris Chalhoub Hugo Chu Matheus de Castro Akshunna Dogra Michal Fedorowicz David Fox Emilia Gibson Vincent Goverse Amir Khodaeian Karim Victoria Klein Chek Lau Ziyu Li Tianyi Liu Dmitrii Mints Leon Staresinic Giuseppe Tenaglia VISITORS Ole Peters Cristina Sargent Bill Speares RELATED STAFF Mauricio Barahona Davoud Cheraghi Martin Hairer Darryl Holm Xue-Mei Li Greg Pavliotis Kevin Webster

DR KEVIN WEBSTER Senior Teaching Fellow

I am a Senior Teaching Fellow in the department of mathematics at Imperial College London. Research Interests My research interests are in the areas of machine learning, deep learning, dynamical systems, statistical learning theory and music information retrieval. PhD Thesis [1] K. N. Webster, “Bifurcations in Reversible Systems with Application to the Michelson System”, PhD Thesis (2003), Imperial College London. Publications [2]  J. N. Elgin and K. N. Webster, “Asymptotic analysis of the Michelson system”, Nonlinearity 16 (2003), 2149–2162. [3]  J. S. W. Lamb, M.-A. Teixeira and K. N. Webster, “Heteroclinic Bifurcations near Hopf-Zero Bifurcation in Reversible Vector Fields in R3”, Journal of Differential Equations 219 (2005), 78–115. [4]  R. E. Beardmore and K. N. Webster, “Normal Forms, Quasi-Invariant Manifolds and Bifurcations of Nonlinear Difference-Algebraic Equations”, SIAM J Math Analysis 40 (2008), 413–441. [5]  R. E. Beardmore and K. N. Webster, “A Hopf bifurcation theorem for singular differential-algebraic equations”, Mathematics and Computers in Simulation 79 No. 4 (2008), 1383–1395. [6]  M. Georgi, J. Ha ̈rterich, S. Liebscher and K. N. Webster, “Ancient dynamics in Bianchi models: Approach to periodic cycles”, Communications in Mathematical Physics 305 (2011), 59–83. [7]  J. Knobloch, J. S. W. Lamb and K. N. Webster, “Using Lin’s method to solve Bykov’s Problems”, Journal of Differential Equations 257 (2014), 2984–3047. [8]  M. Rasmussen, J. Rieger and K. N. Webster, “Approximation of reachable sets using optimal control and support vector machines”, Journal of Computational and Applied Mathematics, 311 (2017), 68–83. [9]  J. Knobloch, J. S. W. Lamb and K. N. Webster, “Shift dynamics near non-elementary T-points with real eigenvalues”, Journal of Difference Equations and Applications (2017), 1–46. [10]  M. Rasmussen, J. Rieger and K. N. Webster, “A reinterpretation of set differential equations as differential equations in a Banach space”, Proc. Roy. Soc. Edinb. A, 148 No. 2 (2017), 429–446. [11]  T. Kittel, J. Heitzig, K. N. Webster and J. Kurths, “Timing of transients”, New Journal of Physics 19, 083005 (2017). [12]  Schultz, F. Hellmann, K. N. Webster and J. Kurths, “Bounding the First Exit from the Basin: Independence Times and Finite-Time Basin Stability”, Chaos, 28, 043102 (2018). [13]  G. Medeot, S. Cherla, K. Kosta, M. McVicar, S. Abdallah, M. Selvi, E. Newton-Rex and K. N. Webster, “StructureNet: Inducing structure in generated melodies”, Proceedings of the 19th International Society for Music Information Retrieval Conference, ISMIR 2018, Paris, France (2018), 725–731. [14] A. Bergner and K. N. Webster, “Blind source separation autoencoders”, Proceedings of the 5th Workshop on Intelligent Music Production, Birminghahm, UK (2019). Accepted journal articles [15] P. Giesl, B. Hamzi, M. Rasmussen and K. N. Webster, “Approximation of Lyapunov functions from noisy data”, accepted to Journal of Computational Dynamics (2019).