Shift of saddle-node bifurcation points in modulated Henon map

We study the influence of a harmonic parametric modulation on the positions of critical points in the low-dissipative Henon map with coexisting period-1 and period-3 attractors. The shift of the saddle-node bifurcation and crisis points depends strongly on the modulation frequency and amplitude. Resonance phenomena play a significant role in the displacement of the attractor boundaries as well as in attractor annihilation due to boundary crisis.

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Bibliographic Details
Main Authors: Saucedo Solorio,J. M., Pisarchik,A. N., Aboites,V.
Format: Digital revista
Language:English
Published: Sociedad Mexicana de Física 2002
Online Access:http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S0035-001X2002000400002
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