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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Sociedad Mexicana de Física
2002
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oai:scielo:S0035-001X20020004000022017-09-10Shift of saddle-node bifurcation points in modulated Henon mapSaucedo Solorio,J. M.Pisarchik,A. N.Aboites,V. Nonlinear dynamics parametrical modulation coexisting attractors crisis 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.info:eu-repo/semantics/openAccessSociedad Mexicana de FísicaRevista mexicana de física v.48 n.4 20022002-01-01info:eu-repo/semantics/articletext/htmlhttp://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S0035-001X2002000400002en |
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English |
| format |
Digital |
| author |
Saucedo Solorio,J. M. Pisarchik,A. N. Aboites,V. |
| spellingShingle |
Saucedo Solorio,J. M. Pisarchik,A. N. Aboites,V. Shift of saddle-node bifurcation points in modulated Henon map |
| author_facet |
Saucedo Solorio,J. M. Pisarchik,A. N. Aboites,V. |
| author_sort |
Saucedo Solorio,J. M. |
| title |
Shift of saddle-node bifurcation points in modulated Henon map |
| title_short |
Shift of saddle-node bifurcation points in modulated Henon map |
| title_full |
Shift of saddle-node bifurcation points in modulated Henon map |
| title_fullStr |
Shift of saddle-node bifurcation points in modulated Henon map |
| title_full_unstemmed |
Shift of saddle-node bifurcation points in modulated Henon map |
| title_sort |
shift of saddle-node bifurcation points in modulated henon map |
| description |
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. |
| publisher |
Sociedad Mexicana de Física |
| publishDate |
2002 |
| url |
http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S0035-001X2002000400002 |
| work_keys_str_mv |
AT saucedosoloriojm shiftofsaddlenodebifurcationpointsinmodulatedhenonmap AT pisarchikan shiftofsaddlenodebifurcationpointsinmodulatedhenonmap AT aboitesv shiftofsaddlenodebifurcationpointsinmodulatedhenonmap |
| _version_ |
1756219806731730944 |