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Contents Curricula, and Programs. Mathematical Analysis. (The Program of Mathematical Physics Department).............................................. Algebra and Analytical Geometry.(The program of (General "Mathematics" Department)................................ Computer and Programming. (The program of Algorithmic Languages Department).................................... The practical work on Computers.( Department of Algorithmic. Languages)............................................... Discrete

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... Perturbation Theory has a long tradition. ... The stability of an equilibrium (or periodic) state of a system depends in the first instance on the eigenvalues of the system linearized about that state. ... After an introductory chapter on stability theory, a long Chapter 2 deals with bifurcation analysis of eigenvalues of matrices depending on several parameters: this is the core of the book on which most of the rest depends. ...

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Another mechanical model of parametrically excited pendulum and stabilization of its inverted equilibrium position Anton O. Belyakov 1 Lomonosov Moscow State University 2 Vienna University of Technology 8th European Nonlinear Dynamics Conference (ENOC 2014) Vienna, July 7, 2014 Scheme of a parametric pendulum y O l (t ) - g m 2 r1 + m 2 Equations of motion mr 2 1 d d2 + c1 + m g l (t ) sin () = 0 dt 2 dt (1) Dimensionless equation Three dimensionless parameters and ...

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... Consider a matrix S. The element sij of S is equal to the number of inextendible directed sequences from the minimal vertex i to the maximal vertex j . ... Therefore the number of directed sequences from the vertex i to the vertex j is equal to the element wij of a matrix W: N W= k =0 V k , (1 9 ) 6 where N is equal to the number of edges in the graph. ... Tr S is equal to the number of inextendible directed sequences from minimal vertexes to maximal vertexes that have equal numbers. ...

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