Torus-doubling process via strange nonchaotic attractors

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• 作者：Takahito Mitsui^a ; ^b ; ^{mitsui@sat.t.u-tokyo.ac.jp} ; Seiji Uenohara^c ; Takashi Morie^c ; Yoshihiko Horio^d ; Kazuyuki Aihara^b
• 关键词：Torus doubling ; Strange nonchaotic attractors
• 刊名：Physics Letters A
• 出版年：2012
• 期刊代码：57_03759601
• 类别：ph
• 出版时间：14 May, 2012
• 卷：376
• 期：24-25
• 页码：1907-1914
• 文件大小：2587 K

摘要

Torus-doubling bifurcations typically occur only a finite number of times. It has been assumed that torus-doubling bifurcations in quasiperiodically forced systems are interrupted by the appearance of strange nonchaotic attractors (SNAs). In the present Letter, we study a quasiperiodically forced noninvertible map and report the occurrence of a torus-doubling process via SNAs. The mechanism of this process is numerically clarified. Furthermore, this process is experimentally demonstrated in a switched-capacitor integrated circuit.