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

Numerical Research of Behavior of Invariant Curves in Neighbourhood of Fixed Points of Gardini Map

Author(s):

N. B. Ampilova

Russia, 198904, St.-Petersburg, Bibliotechnaya pl. 2,
St. Petersburg State University,
The chair of differential equations,

natali@IS1483.spb.edu

Abstract:

The local properties of two-parametric plane endomorphism, which is coupled pair of logistic oscillators, are studied. The behavior of invariant set, fixed points, Hopf bifurcation in the neighborhood of the focus is discussed. The intervals of existence of closed invarint curve in this neighborhood are experimentally found. On the parameters plane the area of simultaneous existence of diagonal chaotic regime and closed invariant curves is obtained. Bibl. 4

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