ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

Local Analysys of the Coupled Henon Maps in the Symmetrical Case


A. V. Egorov

St.Petersburg State University,
Chair of Differential Equations,
Bibliotechnaya pl., 2,
198904, St.Petersburg, Russia


The basic properties of a coupled system of two Henon maps are investigated. A symmetry of the set of the periodic points in respect with the main diagonal is proved and a connection with periodic points of the single Henon map is described. The stability and bifurcation analysis of fixed points and twoperiodic orbits is performed. Bibl. 7.

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