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Chaotic return maps are widely used to model various dynamical systems such as charged particle movement, laser beam dynamic, celestial body orbiting and many others. Return maps are commonly obtained by discretization of continuous equations using the Euler–Cromer operator with the only motivation that it is the simplest symplectic operator. Recent progress in geometric integration raised considerable...
This article describes the embedded control system for a tracked robot based on a single-board computer. This system was developed for educational purposes and for rapid prototyping of small mobile robots software. The issues of power supply stability and network connection for visual feedback through the integrated camera, the modularity of the design and the chassis robustness are considered. The...
A painting robot ARTCYBE is a machine developed to imitate an ability of a human painter to create realistic images with acrylic paints and a brush. In this paper a brushstroke rendering algorithm for this robot is presented. The algorithm converts a source bitmap image into a set of brushstrokes which we call a brushstroke map. The brushstroke map can be unambiguously transformed into a list of commands...
In case of time-symmetric delta-pulse shaped perturbation, phase portrait of physical system simulated via the Chirikov standard map has an axial symmetry, while the Chirikov standard map does not. In this paper it is shown that a symmetric integration method applied to numerical simulation of system motion allows obtaining discrete maps with axial symmetry. A symmetric modification of the Chirikov...
Low-precision data types for embedded applications reduce the power consumption and enhance the price-performance ratio. Inconsistence between the specified accuracy of a designed filter or controller and an imprecise data type can be overcome using the δ-operator, an alternative to the traditional discrete-time z-operator. Though in many cases it significantly increases accuracy, sometimes it shows...
Computer simulation of stiff dynamical systems usually requires researchers and engineers to apply implicit numerical quadrature formulae. The most efficient of stiff ODE solvers use adaptive timestep technique, which reduces computational costs by varying integration step size according to the local truncation error estimation. Due to their stability, the implicit methods can handle large step sizes...
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