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

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Shabunin A. V., Astakhov V. V., Akopov A. A. Evolution of running waves to spatio-temporal chaos: interaction of temporal and spatial dynamics in a ring of period-doubling self-oscillators. Izvestiya VUZ. Applied Nonlinear Dynamics, 2003, vol. 11, iss. 3, pp. 31-37. DOI: 10.18500/0869-6632-2003-11-3-31-37

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Evolution of running waves to spatio-temporal chaos: interaction of temporal and spatial dynamics in a ring of period-doubling self-oscillators

Shabunin Aleksej Vladimirovich, Saratov State University
Astakhov Vladimir Vladimirovich, Yuri Gagarin State Technical University of Saratov
Akopov Artem Aleksandrovich, Saratov State University

In the work we consider transition from regular running waves to developed spatio-temporal chaos in а chain оf period-doubling oscillators. We investigate typical bifurcations which take place оn thе base of the chosen running wave regime from the period-one cycle to developed temporal chaos. We found that oscillations remain spatially periodic until transition to temporal chaos. The exact spatial periodicity is changed by the periodicity in the average in the chaotic region. Destroying of the averaged spatio-periodic structure is connected with losing оf coherence оn main frequencies in the temporal spectra оf neighbor oscillators in the chain.

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The authors thanks to the Fond of Civil Research Development (Grant REC 006) for partial financial support.
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