optimal averaged profit,
generic singularities,
polydynamical systems,
time averaged optimization.
Subject:
optimal control theory, ordinary differential equations, singularity theory, bifurcation theory, coupled cell networks, polydynamical systems
Biography
1996–2002: Bachelor in Mathematics, University of Minho, Portugal.
2002–2004: Master in Applied Mathematics, University of Porto.
2006–2010: Doctorate in Mathematics, University of Porto. Thesis: "Generic Singularities of the Optimal Averaged Profit for Polydynamical Systems" (under the supervision of A.A. Davydov and H. Mena-Matos).
2010–2014: Post-Doctorate in Mathematics, CMUP (Centre of Mathematics, University of Porto), under the supervision of A.P. Dias.
Main publications:
A.A. Davydov, Kh. Mena-Matos, S.S. Moreira, “Genericheskie osobennosti poleznosti v usrednennoi po vremeni optimizatsii dlya tsiklicheskikh protsessov v polidinamicheskikh sistemakh”, SMFN, 42 (2011), 95–117
A.P.S. Dias and C.S. Moreira, “Spectrum of the elimination of loops and multiple arrows in coupled cell systems”, Nonlinearity, 25 (2012), 3139–3154
C.S. Moreira, “On bifurcations in lifts of regular uniform coupled cell networks”, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 470 (2014), 2169–2170
A.A. Davydov and H. Mena-Matos and C.S. Moreira, “Generic profit singularities in time averaged optimization for phase transitions in polydynamical systems”, Journal of Mathematical Analysis and Applications, 424 (2015), 704–726
C.S. Moreira, “Special Jordan subspaces and synchrony subspaces in coupled cell networks”, SIAM J. Appl. Dyn. Syst., 14 (2015), 253–285
A. A. Davydov, H. Mena-Matos, C. S. Moreira, “Generic profit singularities in time-averaged optimization for cyclic processes in polydynamical systems”, CMFD, 42 (2011), 95–117; Journal of Mathematical Sciences, 199:5 (2014), 510–534