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ISSN 2542-1905 (Online)

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Matrosov V. V., Korzinova M. V. Cooperative dynamics of cascade coupling phase systems. Izvestiya VUZ. Applied Nonlinear Dynamics, 1994, vol. 2, iss. 2, pp. 10-16.

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
519.673: 621.396.66

Cooperative dynamics of cascade coupling phase systems

Autors: 
Matrosov Valerij Vladimirovich, Lobachevsky State University of Nizhny Novgorod
Korzinova Marina Vladimirovna, Institute of Applied Mathematics and Cybernetics. Nizhny Novgorod state University
Abstract: 

The nonlinear dynamics of the ensemble of two cascade coupling phase systems is considered. The onset of synchronization regime, possible ways of synchronization losses related, in particular, to complex asynchronous regimes are studied.

Key words: 
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Acknowledgments: 
The work was carried out with financial support from the Russian Foundation for Basic Research (project 93-02-15424).
Reference: 
  1. Gaponov-Grekhov AV, Rabinovich MI, editors. Nonlinear Waves. Self-Organisation. М.: Nauka; 1983. 263 p.
  2. Gaponov-Grekhov AV, Rabinovich MI, editors. Nonlinear Waves. Dynamics and Evolution. М.: Nauka; 1989. 397 p.
  3. Kapranov МV. Cascade system of phase automatic frequency tuning. System Dynamics. 1976;11:76-86.
  4. Korzinova МV, Matrosov VV. Modeling of nonlinear dynamics of phase-system cascading. Radiophys. Quantum Electron. 1993;36(8):555-558. DOI: 10.1007/BF01038435.
  5. Afraimovich VS, Nekorkin VI, Osipov GV, Shalfeev VD. Stability, Structures and Chaos in Nonlinear Synchronisation Networks. Gorky: Institute of Applied Physics AS USSR Publishing; 1989. 253 p.
  6. Barbashin ЕА, Tabueva VА. Dynamic Systems with Cylindrical Phase Space. М.: Nauka; 1969. 299 p.
  7. Belykh VN, Verichev NN. Coupled rotor dynamics. Radiophys. Quantum Electron. 1988;31(6):503-512. DOI: 10.1007/BF01044654.
  8. Pliss VА. Non-local Problems of Oscillation Theory. М.: Nauka; 1964. 367 p.
  9. Bautin NN. Behaviour of Dynamic Systems near the Boundaries of the Stability Area. М.: Nauka; 1984. 176 p.
Received: 
17.01.1994
Accepted: 
22.03.1994
Published: 
08.08.1994
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