2024-03-29T14:56:47Zhttps://uvadoc.uva.es/oai/requestoai:uvadoc.uva.es:10324/404992021-06-23T11:39:41Zcom_10324_1176com_10324_931com_10324_894col_10324_1359
Li–Yorke chaos in nonautonomous Hopf bifurcation patterns - I
Núñez Jiménez, María del Carmen
Obaya, Rafael
We analyze the characteristics of the global attractor of a type of
dissipative nonautonomous dynamical systems
in terms of the Sacker and Sell spectrum of its linear part.
The model gives rise to a pattern of nonautonomous Hopf bifurcation
which can be understood as a generalization of the classical autonomous one.
We pay special attention to the dynamics at the bifurcation point,
showing the possibility of occurrence of Li-Yorke chaos in the
corresponding attractor and hence of a high degree of unpredictability.
2020-02-14
2020-02-14
2019
info:eu-repo/semantics/article
Nonlinearity 32 (10) (2019), 3940-3980
0951-7715
http://uvadoc.uva.es/handle/10324/40499
10.1088/1361-6544/ab28ab
3940
10
3980
Nonlinearity
32
1361-6544
spa
info:eu-repo/grantAgreement/EC/H2020/MSCA-ITN-2014
info:eu-repo/semantics/openAccess