Shift of saddle-node bifurcation points in modulated Hénon map

Authors

  • J. M
  • A. N
  • V. Aboites

Keywords:

Nonlinear dynamics, parametrical modulation, coexisting attractors, crisis

Abstract

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.

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Published

2002-01-01

Issue

Vol. 48 No. 4 (2002): Revista Mexicana de Física.

Section

Articles

License

Authors retain copyright and grant the Revista Mexicana de Física right of first publication with the work simultaneously licensed under a CC BY-NC-ND 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.

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