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Izvestiya of Saratov University. Physics, 2013, Volume 13, Issue 1, Pages 40–46 (Mi isuph156)  
Physics

Influence of the co-phase harmonis excitation on the dynamics of the two coupled period doubling systems

E. S. Popovaa, Y. P. Seleznevb

a Saratov State University
b Saratov Branch, Kotel'nikov Institute of Radio-Engineering and Electronics, Russian Academy of Sciences
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Abstract: The system of two coupled maps under in-phase harmonic forcing is investigated numerically. By calculating of the lyapunov exponent spectrum the structure of control parameters space is investigated, the existence regions of the various multistable states are presented, the structure of the basins of attraction is studed.
Keywords: maps, multistability, lyapunov exponent spectrum, strange nonchaotic attractor, chaos, correlation dimension, basins of attraction.
Funding agency Grant number
Russian Foundation for Basic Research 11-02-91334
11-02-00599
Document Type: Article
UDC: 517.9
Language: Russian
Citation: E. S. Popova, Y. P. Seleznev, “Influence of the co-phase harmonis excitation on the dynamics of the two coupled period doubling systems”, Izv. Sarat. Univ. Physics, 13:1 (2013), 40–46
Citation in format AMSBIB
\Bibitem{PopSel13}
\by E.~S.~Popova, Y.~P.~Seleznev
\paper Influence of the co-phase harmonis excitation on the dynamics of the two coupled period doubling systems
\jour Izv. Sarat. Univ. Physics
\yr 2013
\vol 13
\issue 1
\pages 40--46
\mathnet{http://mi.mathnet.ru/isuph156}
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