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A new family of explicit integration algorithms is developed based on discrete control theory for solving the dynamic equations of motion. The proposed algorithms are explicit for both displacement and velocity and require no factorisation of the damping matrix and the stiffness matrix. Therefore, for a system with nonlinear damping and stiffness, the proposed algorithms are more efficient than the...
In this paper, the dynamical behaviors of elementary cellular automata (ECA) rule 88 are studied from the viewpoint of symbolic dynamics. Based on the results derived from the finite case, it is shown that there exist three different Bernoulli-measure subsystems of rule 88 in the space of bi-infinite symbolic sequences. The relationships of these three subsystems and the existence of fixed points...
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