Torus-doubling process via strange nonchaotic attractors

Takahito Mitsui; Seiji Uenohara; Takashi Morie; Yoshihiko Horio; Kazuyuki Aihara

doi:10.1016/j.physleta.2012.04.005

Torus-doubling process via strange nonchaotic attractors

Takahito Mitsui, Seiji Uenohara, Takashi Morie, Yoshihiko Horio, Kazuyuki Aihara

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	1907-1914
Number of pages	8
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	376
Issue number	24-25
DOIs	https://doi.org/10.1016/j.physleta.2012.04.005
Publication status	Published - 2012 May 14
Externally published	Yes

Keywords

Strange nonchaotic attractors
Torus doubling

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1016/j.physleta.2012.04.005

Cite this

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title = "Torus-doubling process via strange nonchaotic attractors",

abstract = "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.",

keywords = "Strange nonchaotic attractors, Torus doubling",

author = "Takahito Mitsui and Seiji Uenohara and Takashi Morie and Yoshihiko Horio and Kazuyuki Aihara",

note = "Funding Information: We thank Dr. M.U. Kobayashi, Dr. H. Takahashi and Dr. Biswambhar Rakshit for their valuable comments. This research is supported by the Aihara Project , the FIRST program from JSPS , initiated by CSTP . ",

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doi = "10.1016/j.physleta.2012.04.005",

language = "English",

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journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",

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TY - JOUR

T1 - Torus-doubling process via strange nonchaotic attractors

AU - Mitsui, Takahito

AU - Uenohara, Seiji

AU - Morie, Takashi

AU - Horio, Yoshihiko

AU - Aihara, Kazuyuki

N1 - Funding Information: We thank Dr. M.U. Kobayashi, Dr. H. Takahashi and Dr. Biswambhar Rakshit for their valuable comments. This research is supported by the Aihara Project , the FIRST program from JSPS , initiated by CSTP .

PY - 2012/5/14

Y1 - 2012/5/14

N2 - 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.

AB - 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.

KW - Strange nonchaotic attractors

KW - Torus doubling

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JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

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ER -

Torus-doubling process via strange nonchaotic attractors

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Keywords

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