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Discrete Systems

2020
In this chapter some basic concepts of the finite element method are illustrated by solving basic discrete systems built from springs and bars. Generation of element stiffness matrix and assembly for the global system is performed. First basic steps on finite element programs are described.
Ferreira A. J. M., Fantuzzi N.
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Stabilizing unstable discrete systems

Physical Review E, 2001
A general method for stabilizing unstable discrete systems to a fixed point or high-period orbit is developed analytically and numerically in this paper. It is shown that the method can be equally applied to the systems with one or more positive Lyapunov exponents.
S, Bu, S, Wang, H, Ye
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DIMENSION REDUCTION FOR DISCRETE SYSTEMS

Applied and Industrial Mathematics in Italy II, 2007
Object of this talk is the description of the overall behaviour of variational pair-interaction lattice systems defined on `thin' domains of ; i.e. on domains consisting on a finite number of mutually interacting copies of a portion of a -dimensional discrete lattice.
ALICANDRO, Roberto   +2 more
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