Abstract

SAUCEDO SOLORIO, J. M.; PISARCHIK, A. N.  and  ABOITES, V.. Shift of saddle-node bifurcation points in modulated Henon map. Rev. mex. fis. [online]. 2002, vol.48, n.4, pp.290-294. ISSN 0035-001X.

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.

Keywords : Nonlinear dynamics; parametrical modulation; coexisting attractors; crisis.

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