Cyclic invariant sets for one class of maps |
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| Authors: | I N Pankratova |
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| Institution: | (1) Institute of Mathematics of the Ministry for Education and Science of the Republic of Kazakhstan, Almaty, Kazakhstan |
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| Abstract: | We consider the dynamical system that is determined by a multidimensional map with scalar type nonlinearity and a nonnegative matrix of special form. For this map we establish the bifurcation character for the location of cyclic invariant sets in the phase space of the system, determine their location and periods depending on the properties of the matrix. |
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| Keywords: | map linear operator dynamical system invariant set |
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