Shift of saddle-node bifurcation points in modulated Hénon map

J. M, A. N, V. Aboites


We study the influence of a harmonic parametric modulation on the positions of critical points in the low-dissipative Hénon 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.


Nonlinear dynamics; parametrical modulation; coexisting attractors; crisis

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Revista Mexicana de Física

ISSN: 2683-2224 (on line), 0035-001X (print)

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