Periodic attractors of nonautonomous flat-topped tent systems

In this work we will consider a family of nonautonomous dynamical systems x(k)(+1) = f(k)(x(k), lambda), lambda is an element of [-1, 1] (N0), generated by a one-parameter family of flat-topped tent maps g(alpha) (x), i.e., f(k)(x, lambda) = g(lambda k) (x) for all k is an element of N-0. We will re...

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Detalhes bibliográficos
Autor principal: Silva, Luis (author)
Formato: article
Idioma:eng
Publicado em: 2019
Assuntos:
Texto completo:http://hdl.handle.net/10400.21/9932
País:Portugal
Oai:oai:repositorio.ipl.pt:10400.21/9932
Descrição
Resumo:In this work we will consider a family of nonautonomous dynamical systems x(k)(+1) = f(k)(x(k), lambda), lambda is an element of [-1, 1] (N0), generated by a one-parameter family of flat-topped tent maps g(alpha) (x), i.e., f(k)(x, lambda) = g(lambda k) (x) for all k is an element of N-0. We will reinterpret the concept of attractive periodic orbit in this context, through the existence of some periodic, invariant and attractive nonautonomous sets and establish sufficient conditions over the parameter sequences for the existence of such periodic attractors.