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


For citation:

Tulebaev S. D., Harrasov M. H. Periodic solutions of Gurel - Rossler model. Izvestiya VUZ. Applied Nonlinear Dynamics, 1995, vol. 3, iss. 1, pp. 3-10. DOI: 10.18500/0869-6632-1995-3-1-3-10

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Language: 
Russian
Article type: 
Article
UDC: 
519.6

Periodic solutions of Gurel - Rossler model

Autors: 
Tulebaev Salavat Dilmuhametovich, Bashkir State University
Harrasov Muhammed Hadisovich, Bashkir State University
Abstract: 

On the basis of the Bogoljubov’s asymptotic methods the existence of selfoscillating modes and a sequence of the period doubling bifurcation in dynamical Gurel - Rossler model are demonstrated. Qualitative results are confirmed by numerical calculations.

Key words: 
Acknowledgments: 
In conclusion, the authors express gratitude to V.V. Alekseev for his assistance help.
Reference: 
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  8. Alekseev VV, Kharrasov MK. On the sequence of period doubling bifurcations in Rossler models. Theor. Math. Phys. 1991;88:741-746. DOI: 10.1007/BF01016342.
Received: 
18.05.1994
Accepted: 
02.02.1995
Published: 
15.09.1995