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Period Two implies Chaos for a Class of ODEs: a Dynamical System Approach
Pireddu, Marina
2009
Abstract
The aim of this note is to set in the field of dynamical systems
a recent theorem by Obersnel and Omari in [19] about the presence
of subharmonic solutions of all orders for a class of scalar time-periodic
first order differential equations without uniqueness, provided a subharmonic
solution (for instance, of order two) does exist. Indeed, making
use of the Bebutov flow, we try to clarify in what sense the term “chaos”
has to be understood and which dynamical features can be inferred for
the system under analysis.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
41 (2009)
Publisher
EUT Edizioni Università di Trieste
Source
Marina Pireddu, "Period Two implies Chaos for a Class of ODEs: a Dynamical System Approach”, in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 41 (2009), pp. 43–54.
Languages
en
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