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We develop a rather elaborate computer program to investigate the jointly periodic points of one-dimensional cellular automata. The experimental results and mathematical context lead to questions, con...
This paper examines algorithms for computing periodic orbits of dynamical systems. Our goal is to explore the limits of accuracy that are attainable for these calculations within the pragmatic conte...
Simulation of vector elds is ubiquitous: examples occur in every discipline of science and engineering. Periodic orbits are frequently encountered as trajectories. We use solutions of initial value...
Abstract: The evaluation of long-range potentials in periodic, many-body systems arises as a necessary step in the numerical modeling of a multitude of interesting physical problems. Direct evaluation...
In this paper the problem of construction of lattice optimal interpolation formulas in the space ]L(m) 2 (0, 1) is considered.
We prove the existence of quasi-periodic solutions for Schr¨odinger equations with a multiplicative potential on Td, d ≥ 1, merely differentiable nonlinearities, and tangential frequencies constrained...

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