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

For citation:

Bliokh Y. P., Ljubarskij M. G., Podobinsky V. O. The frequency control in one class of distributed systems. Izvestiya VUZ. Applied Nonlinear Dynamics, 1995, vol. 3, iss. 4, pp. 12-22. DOI: 10.18500/0869-6632-1995-3-4-12-22

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
621.385
DOI: 
10.18500/0869-6632-1995-3-4-12-22

The frequency control in one class of distributed systems

Autors: 
Bliokh Yury Pavlovich, Israel Institue of Technology "Technion"
Ljubarskij M. G., National Science Center Kharkov Institute of Physics and Technology
Podobinsky Vitalii Olegovich, National Science Center Kharkov Institute of Physics and Technology
Abstract: 

The possibility of frequency control in the dynamical system with distributed pa- rameters is considered. The dynamical system is defined as the complex-valued map. The control is executed by monochromatic signal r(t) = rо ехр (ivt) that is added to the right part of the map. The interval of parameters r0, v, when the map has stable monochromatic solutions ~ exp (ivt), is defined. It is shown that two different mechanisms of monochromatic solution instability are connected with two dimensions of the map. The necessity of stabilization by external influence of both these mechanisms substantially restricts the interval of parameters, when the frequency control is possible. The possibility of connection amplitude threshold of frequency control (synchronization) and the degree of stochastization in the independent system are examined.

Key words: 
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Acknowledgments: 
The authors consider it their pleasant duty to express their gratitude to Ya.B. Feinberg for fruitful discussions. The work is financed by the State Committee for Science and Technology of Ukraine (contract № 9.02.02/022).
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Received: 
19.08.1994
Accepted: 
14.11.1995
Published: 
13.10.1996
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