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For citation:

Kashchenko S. A. Asymptotic analysis of the autogenerators dynamics with different non-linear delay coupling. Part I. Izvestiya VUZ. Applied Nonlinear Dynamics, 1996, vol. 4, iss. 3, pp. 10-17.

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Russian
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Article
UDC: 
517.929

Asymptotic analysis of the autogenerators dynamics with different non-linear delay coupling. Part I

Autors: 
Kashchenko Sergej Aleksandrovich, P. G. Demidov Yaroslavl State University
Abstract: 

The attractors of different types of autogenerators differing by the nonlinear element with delay are studied with the help of the special asymptotic method of a large parameter. It is formulated the conditions of existence and it is constructed the asymptotic behaviours of stable slowly oscillating relaxation cycles and of more complicated attractors under the condition of low quality of filter.

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Reference: 
  1. Dmitriev AS, Kislov VYa. Stochastic Oscillations in Radio Engineering. M.: Nauka; 1989. 277 p.
  2. Rozhdestvenskii VV, Struchkov IN. Transient chaos in the autogenerator of stochastic oscillations with rigid excitation and even nonlinearity. Tech. Phys. 1992;62(10):102-110.
  3. Dmitriev AS, Kashchenko SA. Generator dynamics with lagging feedback and a low-end second-order filter. Sov. J. Comm. Tech. Electron. 1989;34(12):24-39.
  4. Dmitriev AS, Kashchenko SA. Asymtotics of irregular oscillations in the autogenerator model with late feedback. Phys. Doklady. 1993;328(2):174-177.
  5. Struchkov IN. Transient chaos in an aperiodic oscillator with delay. J. Comm. Tech. Electron. 1993;38(3):454-463.
  6. Akhromeeva TS, Kurdyumov SP, Malinetskii GG, Samarskii AA. Non-Stationary Structures and Diffusion Chaos. М.: Nauka; 1992. 540 p.
  7. Kashchenko SА. Spatially heterogeneous structures in the simplest models with delay and diffusion. Math. Models Comp. Simulations. 1990;2(9):49-69.
  8. Kashchenko SA. Asymptotic analysis of the dynamics of a system of two coupled self-excited oscillators with delayed feedback. Radiophys. Quantum Electron. 1990;33(3):231-236. DOI: 10.1007/BF01057623.
  9. Grigoryeva EV, Kashchenko SA. Asymptotic study of multistability phenomena in laser models with optoelectronic feedback. Sov. Phys. Doklady. 1991;316(2):327-331.
Received: 
21.06.1995
Accepted: 
05.11.1995
Published: 
15.12.1996