THE RING SYSTEM WITH NONLINEAR ELEMENTS, DESCRIBED BY THE TWO WAVES INTERACTION MODEL, MANIFESTING THE PHENOMENA OF COMPLEX ANALYTICAL DYNAMICS
Cite this article as:
Obichev М. А. THE RING SYSTEM WITH NONLINEAR ELEMENTS, DESCRIBED BY THE TWO WAVES INTERACTION MODEL, MANIFESTING THE PHENOMENA OF COMPLEX ANALYTICAL DYNAMICS. Izvestiya VUZ. Applied Nonlinear Dynamics, 2013, vol. 21, iss. 3, pp. 96-102. DOI: https://doi.org/10.18500/0869-6632-2013-21-3-96-102
This paper proposes a method of constructing of the ring system, in which the phenomena of complex analytical dynamics such as the Mandelbrot and Julia sets, are implemented in some approximation. The system is non-autonomous, includes frequency filters and nonlinear elements, described by the model of the resonant interaction of waves in quadratic nonlinear dispersive medium.
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BibTeX
author = {М. А. Obichev},
title = {THE RING SYSTEM WITH NONLINEAR ELEMENTS, DESCRIBED BY THE TWO WAVES INTERACTION MODEL, MANIFESTING THE PHENOMENA OF COMPLEX ANALYTICAL DYNAMICS},
year = {2013},
journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},
volume = {21},number = {3},
url = {https://old-andjournal.sgu.ru/en/articles/the-ring-system-with-nonlinear-elements-described-by-the-two-waves-interaction-model},
address = {Саратов},
language = {russian},
doi = {10.18500/0869-6632-2013-21-3-96-102},pages = {96--102},issn = {0869-6632},
keywords = {Parametric wave excitation,three-wave interaction,ring systems,Mandelbrot set.},
abstract = {This paper proposes a method of constructing of the ring system, in which the phenomena of complex analytical dynamics such as the Mandelbrot and Julia sets, are implemented in some approximation. The system is non-autonomous, includes frequency filters and nonlinear elements, described by the model of the resonant interaction of waves in quadratic nonlinear dispersive medium. }}