Singularities of the stationary domain for polydynamical systems

• Autorzy: Moreira C. S.
• Języki publikacji: EN

Abstrakty

EN

For k-parameter families of polydynamical systems on a 1-dimensional manifold, we classify the generic singularities of the stationary domain, when k ≤ 3.

Słowa kluczowe

EN

singularities; generic classification; polydynamical system; stationary domain

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2006
• Tom: Vol. 35, no 4
• Strony: 881--886
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Moreira C. S.

• Centre of Mathematics of University of Porto, Rua do Campo Alegre, 687, 4169-007 Porto, Portugal

Bibliografia

• ARNOLD, V.I. (2002) Optimization in Mean and Phase Transitions in Controlled Dynamical Systems. Functional Analysis and its Applications 36 (2), 83-92.
• ARNOLD, V.I., VARCHENKO, A.N. and GUSEIN-ZADE, S.M. (1985) Singularities of Differentiable Maps, Volume 1. Monographs in Mathematics 82, Birkhäuser, Boston.
• DAVYDOV, A.A. (1994) Qualitative Theory of Control Systems. Translations of mathematical monographs 141, American Mathematical Society, Providence.
• DAVYDOV, A.A. (1995) Local controllability of typical dynamical inequalities on surfaces. Proc. Steklov Inst. Math. 209, 73 106.
• DAVYDOV, A.A. and MENA-MATOS, H. (2007) Generic phase transition and profit singularities in Arnold’s model (to appear).
• GOLUBITSKY, M. and GUILLEMIN, V. (1986) Stable Mappings and their Singularities, Third Edition. Graduate Texts in Mathematics 14, Springer-Verlang, New York.
• MOREIRA, C.S. (2005) Singularidades do proveito médio óptimo para estratégias estacionárias, Master Thesis, University of Porto.
• MOREIRA, C.S. (2006) Singularities of optimal averaged profit for stationary strategies. Portugaliae Mathematica 63 (1), 1-10.