Abstract
In this article the general conception of computer research of the intellectual method of the regular and chaotic behavior of the dynamical system of special Hamiltonian structure is presented. In accordance with the main idea of the proposed conception, graphic images of two-dimensional and three-dimensional Poincare’s sections of the phase space of dynamical systems by methods artificial and computational intellect are investigated. The new approach generalizes existing classical methods of the recognition of graphic images for badly formalized graphic objects on Poincare’s sections such as “a closed curve” and “a two-dimensional area.” We propose to use the generalized Hough transform for identification of regular cases, and also methods of deformable active contours and deformable parametric models for the recognition of chaotic cases. On the basis of the given technique, the computer program of the intellectual research of the regular and chaotic behavior of the mechanical systems, showing serviceability and efficiency of the general conception, was developed.
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Ruchkin, C. (2014). The General Conception of the Intellectual Investigation of the Regular and Chaotic Behavior of the Dynamical System Hamiltonian Structure. In: Awrejcewicz, J. (eds) Applied Non-Linear Dynamical Systems. Springer Proceedings in Mathematics & Statistics, vol 93. Springer, Cham. https://doi.org/10.1007/978-3-319-08266-0_17
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DOI: https://doi.org/10.1007/978-3-319-08266-0_17
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