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

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Viadimirov A. G., Toronov V. Y., Derbov V. L. On the complex Lorenz model. Izvestiya VUZ. Applied Nonlinear Dynamics, 1995, vol. 3, iss. 6, pp. 51-63. DOI: 10.18500/0869-6632-1995-3-6-51-63

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Russian
Heading: 
Deterministic Chaos
Article type: 
Article
UDC: 
532.517, 621.391.01
DOI: 
10.18500/0869-6632-1995-3-6-51-63

On the complex Lorenz model

Autors: 
Viadimirov Andrei Georgievich, Saint Petersburg State University
Toronov Vladislav Yurevich, Saratov State University
Derbov Vladimir Leonardovich, Saratov State University
Abstract: 

The geometric properties of the complex Lorenz model such as the topology of the phase space and limit sets, and the boundedness of attractors are studied. It is shown that in the complex case the homoclinic bifurcation is the codimension-two one.

Key words: 
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Reference: 
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Received: 
05.04.1995
Accepted: 
21.11.1995
Published: 
21.11.1996
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