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


Cite this article as:

Kuznecov A. P., Paksjutov V. I. Dynamics of two nonidentical coupled self-sustained systems with period doublings on the example of r ? ossler oscillators. Izvestiya VUZ, 2006, vol. 14, iss. 2, pp. 3-15. DOI: https://doi.org/10.18500/0869-6632-2006-14-2-3-15

Language: 
Russian

Dynamics of two nonidentical coupled self-sustained systems with period doublings on the example of r ? ossler oscillators

Autors: 
Kuznecov Aleksandr Petrovich, Saratov State University
Paksjutov Vladimir Igorevich, Saratov State University
Abstract: 

The system of two coupled R? ossler oscillators is considered. Detailed investigation is carried out on the plane of parameters which control the period-doubling bifurcations in the subsystems. Dynamical regimes in di?erent points of the control parameter plane are determined using the methods of the bifurcation plot and the highest nonzero Lyapunov exponent plot computation. The synchronization picture of two coupled R? ossler oscillators is compared with synchronization pictures of more simple systems: two coupled Van der Pol oscillators and coupled logistic maps. The boundary structure of synchroniza- tion areas is investigated by calculation of the system multiplicators, and the sequence of codimension-two points is found.

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DOI: 
10.18500/0869-6632-2006-14-2-3-15
References: 

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