Bifurcation analysis of the Henon map
2000 ◽
Vol 5
(3)
◽
pp. 203-221
◽
Keyword(s):
Division of the parameter plane for the two-dimensional Hénon mapping into domains of periodic and chaotic oscillations is studied numerically and analytically. Regularities in the occurrence of different motions and transitions are analyzed. It is shown that there are domains in the plane of parameters, where non-uniqueness of motions exists. This may lead to abrupt changes of the character of the dynamics under variation in the parameters, that is, to a sudden transition from one stable cycle to another or to chaotization of the oscillations.
1984 ◽
Vol 311
(1515)
◽
pp. 43-102
◽
Keyword(s):
2016 ◽
Vol 26
(1)
◽
pp. 013104
2017 ◽
Vol 10
(3)
◽
pp. 625-645
◽
2014 ◽
Vol 981
◽
pp. 793-796
◽
Keyword(s):
2012 ◽
Vol 2012
◽
pp. 1-9
◽
Keyword(s):