Publications

2015
Davydov A., Mena-Matos H., Moreira C.. Generic profit singularities in time averaged optimization for phase transitions in polydynamical systems. J. Math. Anal. Appl.. 2015;424:704-726.
Cruz I, Mena-Matos H., Sousa-Dias M.. Dynamics of the Birational Maps Arising from F0 and DP3 Quivers. Journal of Mathematical Analysis and Applications. 2015;431(2):903-918.
2014
Davydov A., Mena-Matos H., Moreira C.. Generic Profit Singularities in Time-Averaged Optimization for Cyclic Processes in Polydynamical Systems. Journal of Mathematical Sciences. 2014;199(5):510-534.
2010
Mena-Matos H.. Generic profit singularities in time averaged optimization-the case of a control space with a regular boundary. Journal of Dynamical and Control Systems. 2010;16(1):101-120.
2007
Mena-Matos H., Moreira C.. Generic singularities of the optimal averaged profit among stationary strategies. Journal of Dynamical and Control Systems. 2007;13(4):541-562.
Davydov A., Mena-Matos H.. Generic phase transitions and profit singularities in Arnold’s model. Sbornik Mathematics. 2007;198(1):17-37.
Davydov A., Mena-Matos H.. Singularity Theory Approach to Time Averaged Optimization. Vol SINGULARITIES IN GEOMETRY AND TOPOLOGY 2007.
Mena-Matos H., Moreira C.. Generic Singularities of the Optimal Averaged Profit Among Stationary Strategies. Journal of Dynamical and Control Systems. 2007;13(4):541-562.
2006
Davydov A., E. Matos M. Optimal strategies and transitions between them in Arnold’s model. Doklady Mathematics. 2006;74(1):566-568.
Davydov A., Mena-Matos H.. Optimal Strategies and Transitions between Them in Arnold’s Model,. Doklady Mathematics. 2006;74(1):566-568.
Cruz I, Mena-Matos H.. Normal forms for two classes of exact Poisson structures in dimension four. Journal of the London Mathematical Society. 2006;73(01):194-208.
2003
Mena-Matos H.. Singularities of the Hamiltonian Vectorfield in Nonautonomous Variational Problems. Journal of Mathematical Analysis and Applications. 2003;283(2):610-632.
2002
Cruz I, Mena-Matos H.. Normal forms for locally exact Poisson structures in R^3. Journal of Geometry and Physics. 2002;43(1):27-32.
2001
Mena-Matos H.. Singularities of the Hamiltonian Vectorfield in Optimal Control Problems. Journal of Mathematical Analysis and Applications. 2001;254(1):53-70.
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