Mathematics

Profile

Dr Sergi Simon is a Senior Lecturer at the University of Portsmouth in the UK. His main research interests are based on chaos and non-integrability in nonlinear dynamical systems. More specifically, his current interests are aimed at the study, from an algebraic viewpoint, of integrability and non-integrability in Hamiltonian systems, with special emphasis on models derived from Applied Matematics and Physics -- notably N-Body Problems and other systems arising from Celestial Mechanics. The algebraic framework involved hitherto in his research includes differential Galois theory, algebraic geometry and invariant theory of linear algebraic groups.

Dr Simon completed his Ph.D. at the University of Barcelona (Spain), as well as post-doctoral research in the University de Limoges (France).

Recent preprints and publications

• Aparicio-Monforte, A.; Barkatou, M.; Simon, S.; Weil, J.-A.: Formal first integrals along solutions of differential systems I.ISSAC 2011 - Proceedings of the 36th International Symposium on Symbolic and Algebraic Computation, 19--26, ACM, New York, 2011.
• Pujol, O.; P&eacuterez, J. P.; Ramis, J. P.; Sim&#243, C.; Simon, S.; Weil, J. A.: Swinging Atwood machine: experimental and numerical results, and a theoretical study. Physica D 239(2010), no. 12, 1067--1081.
• Simon, S: On the non-integrability of some Problems in Celestial Mechanics, VDM Verlag Dr. Mueller e.K., Germany, June 2008 (ISBN-10: 3639050150)
• Morales-Ruiz, J. J.; Simon, S.: On the meromorphic non-integrability of some N-body problems, Discrete and Continuous. Dynamical Systems 24(2009), no. 4, 1225--1273.
• Morales-Ruiz, J. J.; Sim&#243, C.; Simon, S.: Algebraic proof of the non-integrability of Hill's problem, Ergodic Theory and Dynamical Systems (2005), 25:4:1237-1256 Cambridge University Press