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SM ISO690:2012 BUCUR, Maria-Liliana. Asimptotic behavior of some dynamical processes. In: Conference on Applied and Industrial Mathematics: CAIM 2017, 14-17 septembrie 2017, Iași. Chișinău: Casa Editorial-Poligrafică „Bons Offices”, 2017, Ediţia 25, pp. 13-14. ISBN 978-9975-76-247-2. |
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Conference on Applied and Industrial Mathematics Ediţia 25, 2017 |
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Conferința "Conference on Applied and Industrial Mathematics" Iași, Romania, 14-17 septembrie 2017 | ||||||
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Pag. 13-14 | ||||||
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In this work we are studying some dynamical processes. The dynamical processes represent the natural generalisation of the dynamical systems. A discrete time dynamical process having the generators (fn)n2N is given by the di erence equation xn+1 = fn(xn) . The discrete dynamical systems are particular cases of dynamical processes corresponding to a constant sequence of generators, i.e. xn+1 = f(xn). The asymptotic behaviour of some dynamical processes of logistic type is analysed in this paper. We will consider fn(x) = x (an-x ) and we will study the processes having the generators (fn)n2N. For some and we nd the xed points and for some sequence (an)n2N the preequilibrium points, the basin of attraction, the bifurcations points. Many cases will be illustrated in this paper and we will discussed the e ect of the parameters and on the number of xed and pre-equilibrium points and their stability. |
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