On Hyperbolic Plateaus of the Hénon Map
Arai, Zin
Experiment. Math., Tome 16 (2007) no. 1, p. 181-188 / Harvested from Project Euclid
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We propose a rigorous computational method to prove the uniform hyperbolicity of discrete dynamical systems. Applying the method to the real Hénon family, we prove the existence of many regions of hyperbolic parameters in the parameter plane of the family.
Publié le : 2007-05-15
Classification:  Hénon map,  uniform hyperbolicity,  computer-assisted proof,  computer-assisted proof,  37E30,  37M20 
@article{1204905874,
     author = {Arai, Zin},
     title = {On Hyperbolic Plateaus of the H\'enon Map},
     journal = {Experiment. Math.},
     volume = {16},
     number = {1},
     year = {2007},
     pages = { 181-188},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1204905874}
}

Arai, Zin. On Hyperbolic Plateaus of the Hénon Map. Experiment. Math., Tome 16 (2007) no. 1, pp.  181-188. http://gdmltest.u-ga.fr/item/1204905874/