On a Conjecture about Monomial Hénon Mappings
Zeraoulia Elhadj and J. C. Sprott
Department of Mathematics, University of Tébessa, (12002), Algeria
Department of Physics, University of Wisconsin, Madison, WI 53706,
USA
Abstract
A monomial Hénon mapping is defined as the
well-known two-dimensional Hénon map with the quadratic term
replaced by a monomial. This paper introduces a conjecture
about monomial Hénon mappings: Even Hénon
mappings are chaotic and odd Hénon mappings are not
chaotic in the first quadrant of the bifurcation parameter
space. This conjecture is based on numerical simulations of
this type of map.
Ref: E. Zeraoulia and
J. C. Sprott, International Journal
of Open Problems in Computer Science and Mathematics
6(3),
55-60 (2013)