Rank one strange attractors in periodically kicked Lorenz system with time-delay
type: Item
instance of: scholarly article
title: Rank one strange attractors in periodically kicked Lorenz system with time-delay
zbMATH Open document ID: 1418.37065
DOI: 10.1155/2015/915614
author: Wenjie Yang
author: Yiping Lin
author: Yunxian Dai
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-19T00:00:00Z
review text: Summary: Rank one strange attractor in periodically kicked Lorenz system with time-delay is investigated. Our discussion is based on the theory of rank one maps formulated by Wang and Young. First, we develop the rank one chaotic theory to delayed systems. It is shown that strange attractors occur when periodically kicked delayed system undergoes a generic Hopf bifurcation. Then we use the theory to the periodically kicked Lorenz system with delay, and derivation of conditions for Hopf bifurcation and rank one chaos along with the results of numerical simulations are presented.
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 34K18
Mathematics Subject Classification ID: 34K23
zbMATH DE Number: 7025546
MaRDI profile type: Publication
Wikidata QID: Q59105555
full work available at URL: https://doi.org/10.1155/2015/915614
OpenAlex ID: W4239869234
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description: scientific article; zbMATH DE number 7025546