CONSERVATIVE AND DISSIPATIVE DYNAMICS OF IKEDA MAP


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Kuznetsov A. P., Savin А. V., Savin D. V. CONSERVATIVE AND DISSIPATIVE DYNAMICS OF IKEDA MAP. Izvestiya VUZ. Applied Nonlinear Dynamics, 2006, vol. 14, iss. 2, pp. 94-106. DOI: https://doi.org/10.18500/0869-6632-2006-14-2-94-106


Different methods for investigation of dissipative, nearly conservative and conservative systems have been demonstrated on the example of Ikeda map. The method for two-parameter analysis of dynamics of conservative systems has been proposed. Significant changes in the structure of the parameter and phase space of Ikeda map when dissipation decreases have been revealed. Tasks for seminars and computer practices have been proposed.

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DOI: 
10.18500/0869-6632-2006-14-2-94-106
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BibTeX

@article{Кузнецов-IzvVUZ_AND-14-2-94,
author = {A. P. Kuznetsov and А. V. Savin and D V. Savin},
title = {CONSERVATIVE AND DISSIPATIVE DYNAMICS OF IKEDA MAP},
year = {2006},
journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},
volume = {14},number = {2},
url = {https://old-andjournal.sgu.ru/en/articles/conservative-and-dissipative-dynamics-of-ikeda-map},
address = {Саратов},
language = {russian},
doi = {10.18500/0869-6632-2006-14-2-94-106},pages = {94--106},issn = {0869-6632},
keywords = {-},
abstract = {Different methods for investigation of dissipative, nearly conservative and conservative systems have been demonstrated on the example of Ikeda map. The method for two-parameter analysis of dynamics of conservative systems has been proposed. Significant changes in the structure of the parameter and phase space of Ikeda map when dissipation decreases have been revealed. Tasks for seminars and computer practices have been proposed. }}