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Analysis of the behavior of MMOs under weak noise

Research Project

Project/Area Number 24560556
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Control engineering
Research InstitutionMeiji University

Principal Investigator

ENDO Tetsuro  明治大学, 理工学部, 教授 (60247145)

Co-Investigator(Kenkyū-buntansha) INABA Naohiko  明治大学, 研究知財戦略機構, 客員研究員 (90213123)
Research Collaborator SHIMIZU Kuniyasu  千葉工業大学, 工学部, 准教授 (10409451)
Project Period (FY) 2012-04-01 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥5,200,000 (Direct Cost: ¥4,000,000、Indirect Cost: ¥1,200,000)
Fiscal Year 2014: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2013: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2012: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Keywords非線形回路ダイナミックス / Mixed-mode oscillations / カオス / MMOs / 拡張BVP発振器 / 微小外力応答 / MMOs現象
Outline of Final Research Achievements

This study conducts laboratory measurements and numerical experiments on mixed-mode oscillations (MMOs) generated in an extended BVP oscillator. According to our numerical results, the waveform of MMOs is significantly distorted and MMOs are frequently submerged by chaos subjected to an extremely weak periodic perturbation. The numerical results show that MMOs under weak perturbation generate a rich variety of interesting phenomena. Furthermore, the breakdown of MMOs into chaos is observed in experimental measurements. However, chaos via MMOs breakdown is not explained by a white Gaussian noise exiting in real circuits, but is generated owing to a slight drift of DC voltage source.

Report

(4 results)
  • 2014 Annual Research Report   Final Research Report ( PDF )
  • 2013 Research-status Report
  • 2012 Research-status Report
  • Research Products

    (40 results)

All 2015 2014 2013 2012

All Journal Article (15 results) (of which Peer Reviewed: 14 results,  Acknowledgement Compliant: 1 results) Presentation (25 results)

  • [Journal Article] Bifurcation analysis of four-frequency quasi-periodic oscillations in a three-coupled delayed logistic map2015

    • Author(s)
      Shuya Hidaka, Naohiko Inaba, Munehisa Sekikawa, and Tetsuro Endo
    • Journal Title

      Physics Letters A

      Volume: 379 Pages: 664-668

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Bifurcation structure of an invariant three-torus and its computational sensitivity generated in a three-coupled delayed logistic map2015

    • Author(s)
      Shuya Hidaka, Naohiko Inaba, Kyohei Kamiyama, Munehisa Sekikawa, and Tetsuro Endo
    • Journal Title

      NOLTA, IEICE

      Volume: 印刷中

    • NAID

      130005085583

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 2つの正弦波入力をもつ位相同期回路方程式における準周期解の分岐2015

    • Author(s)
      神山恭平、遠藤哲郎、小室元政
    • Journal Title

      電子情報通信学会和文論文誌A

      Volume: 印刷中

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Bifurcation boundaries of three-frequency quasi-periodic oscillations in discrete-time dynamical system2014

    • Author(s)
      Kyohei Kamiyama, Naohiko Inaba, Munehisa Sekikawa, and Tetsuro Endo
    • Journal Title

      Physica D

      Volume: 289 Pages: 12-17

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Classification of bifurcations of quasi-periodic solutions using Lyapunov bundles2014

    • Author(s)
      Kyohei Kamiyama, Motomasa Komuro, Tetsuro Endo, Kazuyuki Aihara
    • Journal Title

      International Journal of Bifurcation and Chaos

      Volume: 24 Issue: 12 Pages: 1430034-1430034

    • DOI

      10.1142/s0218127414300341

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 拡張 BVP発振器における微小周期外乱下でのMMOsの挙動2014

    • Author(s)
      伊藤薫,清水邦康,稲葉直彦,藤本憲市,吉永哲哉,遠藤哲郎
    • Journal Title

      電子情報通信学会論文誌

      Volume: vol.J97-A Pages: 14-22

    • NAID

      110009688192

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Bifurcation scenarios for a 3D torus and torus-doubling2014

    • Author(s)
      Naohiko Inaba, Munehisa Sekikawa, Yoshimasa Shinotsuka, Kyohei Kamiyama, Ken'ichi Fujimoto, Tetsuya Yoshinaga and Tetsuro Endo
    • Journal Title

      Progress of Theoretical and Experimental Physics

      Volume: 2014(2) Issue: 2 Pages: 1-11

    • DOI

      10.1093/ptep/ptt122

    • NAID

      120007141574

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Three-dimensional tori and Arnold tongues2014

    • Author(s)
      Munehisa Sekikawa, Naohiko Inaba, Kyohei Kamiyama, Kazuyuki Aihara
    • Journal Title

      Chaos

      Volume: 76 Issue: 1 Pages: 013137-013137

    • DOI

      10.1063/1.4869303

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Three-torus causing mechanism in a third-order forced oscillator2013

    • Author(s)
      Kaoru Itoh, Naohiko Inaba, Munehisa Sekikawa, Tetsuro Endo
    • Journal Title

      Progress of Theoretical and Experimental Physics

      Volume: 2013 Issue: 9

    • DOI

      10.1093/ptep/ptt070

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Algorithm for obtaining a saddle torus between two attractors2013

    • Author(s)
      Kyohei Kamiyama, Motomasa Komuro, Tetsro Endo
    • Journal Title

      International Journal of Bifurcation and Chaos

      Volume: 23 Issue: 09 Pages: 1330032-1330032

    • DOI

      10.1142/s0218127413300322

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Chaos of the propagating pulse wave in a ring of six-coupled bistable coupled oscillators2012

    • Author(s)
      Kyohei Kamiyama and Tetsuro Endo
    • Journal Title

      International Journal of Bifurcation and Chaos

      Volume: Vol. 22, No. 4 Issue: 04 Pages: 1250091-1250091

    • DOI

      10.1142/s0218127412500915

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Bifurcation analysis of the propagating wave and the switching solutions in a ring of six-coupled bistable oscillators-bifurcation starting from type-2 standing wave solution2012

    • Author(s)
      Kyohei Kamiyama, Motomasa Komuro and Tetsuro Endo
    • Journal Title

      International Journal of Bifurcation and Chaos

      Volume: Vol. 22, No. 5 Issue: 05 Pages: 1250123-1250123

    • DOI

      10.1142/s0218127412501234

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Bifurcation of quasi-periodic oscillators in mutually coupled hard-type oscillators: demonstration of unstable quasi-periodic orbits2012

    • Author(s)
      Kyohei Kamiyama, Motomasa Komuro and Tetsuro Endo
    • Journal Title

      International Journal of Bifurcation and Chaos

      Volume: Vol. 22, No. 6 Issue: 06 Pages: 1230022-1230022

    • DOI

      10.1142/s0218127412300224

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Bifurcation analysis of the quasi-periodic solution with three-phase synchronized envelopes in a ring of three-coupled bistable oscillators2012

    • Author(s)
      Kyohei Kamiyama, Motomasa Komuro and Tetsuro Endo
    • Journal Title

      International Journal of Bifurcation and Chaos

      Volume: Vol. 22, No. 12 Issue: 12 Pages: 1250308-1250308

    • DOI

      10.1142/s0218127412503087

    • Related Report
      2012 Research-status Report
  • [Journal Article] Supercritical pitchfork bifurcation of the quasi-periodic switching solution in a ring of six-coupled, bistable oscillators2012

    • Author(s)
      Kyohei Kamiyama, Motomasa Komuro and Tetsuro Endo
    • Journal Title

      International Journal of Bifurcation and Chaos

      Volume: Vol. 22, No. 12 Issue: 12 Pages: 1250309-1250309

    • DOI

      10.1142/s0218127412503099

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Presentation] Chenciner bubblesとヒステリシスについて2015

    • Author(s)
      稲葉直彦、伊藤薫、関川宗久、遠藤哲郎
    • Organizer
      電子情報通信学会非線形問題研究会
    • Place of Presentation
      兵庫県民会館
    • Year and Date
      2015-03-03
    • Related Report
      2014 Annual Research Report
  • [Presentation] ある電子回路に見られるArnold tongues: part22015

    • Author(s)
      伊藤薫、稲葉直彦、遠藤哲郎
    • Organizer
      電子情報通信学会非線形問題研究会
    • Place of Presentation
      大分市コンパルホール
    • Year and Date
      2015-01-26 – 2015-01-27
    • Related Report
      2014 Annual Research Report
  • [Presentation] ダイオードを含む強制BVP発振器に見られる複雑な分岐現象Part I ~ chaos disappearanceの解析 ~2015

    • Author(s)
      稲葉直彦、清水邦康、高坂拓司、遠藤哲郎
    • Organizer
      電子情報通信学会非線形問題研究会
    • Place of Presentation
      大分市コンパルホール
    • Year and Date
      2015-01-26 – 2015-01-27
    • Related Report
      2014 Annual Research Report
  • [Presentation] Computational sensitivity in the analysis of Torus and its bifurcations2014

    • Author(s)
      Shuya Hidaka, Kyohei Kamiyama, Tetsuro Endo, Naohiko Inaba, Munehisa Sekikawa:
    • Organizer
      IEEE International Conference Electronics, Circuits and Systems
    • Place of Presentation
      フランス国マルセーユ
    • Year and Date
      2014-12-07 – 2014-12-10
    • Related Report
      2014 Annual Research Report
  • [Presentation] リアプノフバンドルの計算法 ~ 固有ベクトルの準周期解への一般化 ~2014

    • Author(s)
      神山恭平、小室元政、遠藤哲郎
    • Organizer
      電子情報通信学会非線形問題研究会
    • Place of Presentation
      京都大学東京オフィス
    • Year and Date
      2014-12-03 – 2014-12-04
    • Related Report
      2014 Annual Research Report
  • [Presentation] 不変3次元トーラスを発生する離散時間力学系に生じる準周期振動の解析について2014

    • Author(s)
      日高秀野、稲葉直彦、関川宗久、遠藤哲郎
    • Organizer
      電子情報通信学会非線形問題研究会
    • Place of Presentation
      京都大学東京オフィス
    • Year and Date
      2014-12-03 – 2014-12-04
    • Related Report
      2014 Annual Research Report
  • [Presentation] 2つの周期入力をもつ位相同期回路方程式における準周期解の被覆度倍分岐2014

    • Author(s)
      神山恭平、小室元政、遠藤哲郎
    • Organizer
      電子情報通信学会非線形問題研究会
    • Place of Presentation
      愛媛大学
    • Year and Date
      2014-10-16 – 2014-10-17
    • Related Report
      2014 Annual Research Report
  • [Presentation] Chenciner bubblesの分岐の構造について2014

    • Author(s)
      関川宗久、稲葉直彦、遠藤哲郎
    • Organizer
      電子情報通信学会非線形問題研究会
    • Place of Presentation
      愛媛大学
    • Year and Date
      2014-10-16 – 2014-10-17
    • Related Report
      2014 Annual Research Report
  • [Presentation] ある電子回路に見られるArnold tongues2014

    • Author(s)
      伊藤薫、稲葉直彦、遠藤哲郎
    • Organizer
      電子情報通信学会非線形問題研究会
    • Place of Presentation
      愛媛大学
    • Year and Date
      2014-10-16 – 2014-10-17
    • Related Report
      2014 Annual Research Report
  • [Presentation] 4-トーラスを発生する離散時間力学系におけるリアプノフダイアグラムの導出について2014

    • Author(s)
      日高秀野、稲葉直彦、神山恭平、関川宗久、遠藤哲郎
    • Organizer
      電子情報通信学会非線形問題研究会
    • Place of Presentation
      愛媛大学
    • Year and Date
      2014-10-16 – 2014-10-17
    • Related Report
      2014 Annual Research Report
  • [Presentation] 4次元トーラスとArnold resonance web: part22014

    • Author(s)
      日高秀野、稲葉直彦、神山恭平、関川宗久、遠藤哲郎
    • Organizer
      電子情報通信学会非線形問題研究会
    • Place of Presentation
      函館市中央図書館
    • Year and Date
      2014-07-21 – 2014-07-22
    • Related Report
      2014 Annual Research Report
  • [Presentation] Bifurcation scenarios from a limit cycle to a three-torus in a three-variable nonautonomous oscillator2014

    • Author(s)
      Kaoru Ito, Naohiko Inaba, Tetsuro Endo
    • Organizer
      International Technical Conference on Circuits/Systems, Computers and Communications
    • Place of Presentation
      タイ国プーケット
    • Year and Date
      2014-07-01 – 2014-07-04
    • Related Report
      2014 Annual Research Report
  • [Presentation] 4次元トーラスとArnold resonance web2014

    • Author(s)
      稲葉直彦,関川宗久,遠藤哲郎
    • Organizer
      電子情報通信学会主催非線形問題研究会
    • Place of Presentation
      ビッグハート出雲
    • Related Report
      2013 Research-status Report
  • [Presentation] 3-トーラスとアーノルドタング2013

    • Author(s)
      関川宗久, 藤原澄人, 稲葉直彦, 遠藤哲郎
    • Organizer
      電子情報通信学会主催非線形問題研究会
    • Place of Presentation
      中京大学名古屋キャンパス
    • Related Report
      2013 Research-status Report
  • [Presentation] ある離散力学系に見られる不変トーラスとアーノルドタング2013

    • Author(s)
      関川宗久, 藤原澄人, 稲葉直彦, 吉永哲哉, 藤本憲市, 遠藤哲郎
    • Organizer
      電子情報通信学会主催非線形問題研究会
    • Place of Presentation
      福岡大学 中央図書館 多目的ホール
    • Related Report
      2013 Research-status Report
  • [Presentation] 微小周期外乱下における二対の安定および不安定なあひる解の形状の酷似について-その22013

    • Author(s)
      伊藤 薫, 稲葉直彦, 関川宗久, 遠藤哲郎
    • Organizer
      電子情報通信学会主催非線形問題研究会
    • Place of Presentation
      宮古島マリンターミナル
    • Related Report
      2013 Research-status Report
  • [Presentation] 準周期解の分岐境界線について2013

    • Author(s)
      篠塚吉正, 稲葉直彦, 関川宗久, 遠藤哲郎
    • Organizer
      電子情報通信学会主催非線形問題研究会
    • Place of Presentation
      サンポートホール高松
    • Related Report
      2013 Research-status Report
  • [Presentation] Bifurcation boundaries of quasi-periodic oscillation: Part II2013

    • Author(s)
      Y. Shinotsuka, K. Kamiyama, N. Inaba, M. Sekikawa, and T. Endo
    • Organizer
      電子情報通信学会主催非線形問題研究会
    • Place of Presentation
      City University of Hong Kong
    • Related Report
      2013 Research-status Report
  • [Presentation] 摂動の存在する場合のMMOsの波形に関する考察2013

    • Author(s)
      伊藤薫、稲葉直彦、清水邦康、斉藤悠斗、遠藤哲郎
    • Organizer
      電子情報通信学会主催非線形問題研究会
    • Place of Presentation
      北海道大学百年記念会館
    • Related Report
      2012 Research-status Report
  • [Presentation] 2-トーラスと3-トーラスの境界について2013

    • Author(s)
      藤原澄人、稲葉直彦、関川宗久、藤本憲市、吉永哲哉、遠藤哲郎
    • Organizer
      電子情報通信学会主催非線形問題研究会
    • Place of Presentation
      千葉大学西千葉キャンパスアカデミックセンター
    • Related Report
      2012 Research-status Report
  • [Presentation] BVP発振器に見られるcanard-induced MMOsの回路実験と3-time scale systemに見られるMMOs2012

    • Author(s)
      稲葉直彦, 清水邦康, 遠藤哲郎
    • Organizer
      電子情報通信学会主催非線形問題研究会
    • Place of Presentation
      鹿児島県産業会館
    • Related Report
      2012 Research-status Report
  • [Presentation] 周期解から2-トーラス、3-トーラスへの遷移2012

    • Author(s)
      伊藤薫、稲葉直彦、関川宗久、遠藤哲郎
    • Organizer
      電子情報通信学会主催非線形問題研究会
    • Place of Presentation
      高知県立大学
    • Related Report
      2012 Research-status Report
  • [Presentation] 微小外力を含むBVP型拘束方程式に見られる微小振動の崩壊と安定な弛張振動解2012

    • Author(s)
      岩崎大輔、篠塚吉正、稲葉直彦、関川宗久、遠藤哲郎
    • Organizer
      電子情報通信学会主催非線形問題研究会
    • Place of Presentation
      石巻専修大学
    • Related Report
      2012 Research-status Report
  • [Presentation] 高次元系に見られるn-トーラスアーノルドタングの発生の可能性について2012

    • Author(s)
      篠塚吉正、稲葉直彦、関川宗久、遠藤哲郎
    • Organizer
      電子情報通信学会主催非線形問題研究会
    • Place of Presentation
      石巻専修大学
    • Related Report
      2012 Research-status Report
  • [Presentation] 拡張BVP発振器にみられるMMOs遍歴とカオス2012

    • Author(s)
      清水邦康、斉藤悠斗、伊藤薫、稲葉直彦、遠藤哲郎
    • Organizer
      電子情報通信学会主催非線形問題研究会
    • Place of Presentation
      福井市地域交流プラザ
    • Related Report
      2012 Research-status Report

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Published: 2013-05-31   Modified: 2019-07-29  

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