Arnold tongues and the Devil's Staircase in a discrete-time Hindmarsh-Rose neuron model
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- 作者：Carolini C. Felicio carolini.cf@gmail.com" class="auth_mail" title="E-mail the corresponding author ; Paulo C. Rech ; paulo.rech@udesc.br" class="auth_mail" title="E-mail the corresponding author
- 关键词：Farey tree ; Hindmarsh&ndash ; Rose model ; Devil's Staircase ; Arnold tongues
- 刊名：Physics Letters A
- 出版年：2015
- 出版时间：6 November 2015
- 年：2015
- 卷：379
- 期：43-44
- 页码：2845-2847
- 全文大小：1027 K
文摘
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We investigate the parameter-space of a particular 3D map.
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Periodic structures, namely Arnold tongues, can be seen there.
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They are organized in a Farey tree sequence.
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The map was derived from a continuous-time Hindmarsh–Rose neuron model.
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The forward Euler method was used for such purpose.