ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

For citation:

Obychev M. A. 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: 10.18500/0869-6632-2013-21-3-96-102

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Language: 
Russian
Heading: 
Nonlinear Waves. Solitons
Article type: 
Article
UDC: 
517.9
DOI: 
10.18500/0869-6632-2013-21-3-96-102

The ring system with nonlinear elements, described by the two waves interaction model, manifesting the phenomena of complex analytical dynamics

Autors: 
Obychev Maksim Andreevich, Saratov State University
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.

Key words: 
Parametric wave excitation
three-wave interaction
ring systems
Mandelbrot set
Reference: 
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Received: 
01.03.2013
Accepted: 
01.03.2013
Published: 
31.10.2013
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