Study on chaotic gas turbine and its applications

• Project/Area Number: 22500214
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Sensitivity informatics/Soft computing
• Research Institution: Ritsumeikan University
• Principal Investigator: MIYANO Takaya 立命館大学, 理工学部, 教授 (10312480)
• Co-Investigator(Kenkyū-buntansha): TORIYAMA Toshiyuki 立命館大学, 理工学部, 教授 (30227681)
• Project Period (FY): 2010 – 2012
• Project Status: Completed (Fiscal Year 2012)
• Budget Amount: ¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000); Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000); Fiscal Year 2011: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000); Fiscal Year 2010: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
• Keywords: カオス / 乱流 / 熱対流 / ガスタービン / ローレンツ方程式 / カオス通信 / 風力発電 / 発電

Research Abstract

We have designed and manufactured a chaotic gas turbine that whimsically switches its sense of rotation, clockwise and counterclockwise. The equations of motion governing the rotational motion of our turbine is found to be represented by a star network of many Lorenz subsystems sharing the variable representing the angular velocity of the rotor as the central node. Our equations of motion are capable of modeling turbulent thermal convection with high Rayleigh numbers and are applicable to cryptosystems when using the chaotic signal generated by the equations as pseudo random numbers.

Research Products

• [Journal Article] Chaotic gas turbine subject to augmented Lorenz equations (2012)
  • Author(s): K. Cho, T. Miyano, T. Toriyama
  • Journal Title: Physical Review E Volume: Vol.86, Issue 3 Issue: 3
  • DOI: 10.1103/physreve.86.036308
• [Journal Article] Augmented Lorenz Equations as Physical Model for Chaotic Gas Turbine (2012)
  • Author(s): T. Miyano, K. Cho, Y. Okada, J.Tatsutani, T. Toriyama
  • Journal Title: Procedia IUTAM Volume: Vol.5 Pages: 99-107
  • DOI: 10.1016/j.piutam.2012.06.013
  • Peer Reviewed
• [Journal Article] Bifurcation Structure of Augmented Lorenz Equations and Synchronizability of Coupled Augmented Lorenz Oscillators (2012)
  • Author(s): K. Yoshimoto, K. Cho, Y. Morita, T. Miyano
  • Journal Title: Proceedings of 2012 International Symposium on Nonlinear Theory and its Applications Volume: NOLTA2012 Pages: 789-792
  • Peer Reviewed
• [Journal Article] 拡張ローレンツ系における確率共鳴とカオス (2012)
  • Author(s): 宮野尚哉，長憲一郎
  • Journal Title: 電子情報通信学会技術研究報告 Volume: No.NLP2012-126 Pages: 125-130
• [Journal Article] Augmented Lorenz Equations as Physical Model for Chaotic Gas Turbine (2012)
  • Author(s): T.Miyano, K.Cho, Y.Okada, J.Tatsutani, T.Toriyama
  • Journal Title: Procedia IUTAM Volume: (印刷中)
• [Journal Article] 拡張ローレンツ振動子の大規模等価回路とその動的性質 (2012)
  • Author(s): 吉本弘毅, 青野光紘, 宮野尚哉
  • Journal Title: 電子情報通信学会技術研究報告 Volume: No.NLP 2011-146 Pages: 29-33
  • NAID: 110009545728
• [Journal Article] 拡張ローレンツ方程式に従う電子回路ネットワーク (2011)
  • Author(s): 吉本弘毅, 長憲一郎, 辰谷淳悟, 宮野尚哉
  • Journal Title: 電子情報通信学会技術研究報告 Volume: No.NLP 2011-48 Pages: 137-140
  • NAID: 110008746254
• [Journal Article] 乱流熱対流モデルとしての拡張ローレンツ方程式の可能性について (2011)
  • Author(s): 宮野尚哉, 長憲一郎, 鳥山寿之
  • Journal Title: 電子情報通信学会技術研究報告 Volume: No.NLP 2011-102 Pages: 61-64
  • NAID: 110009465759
• [Journal Article] 拡張Lorenz方程式のカオス秘話通信への応用可能性 (2011)
  • Author(s): 長憲一郎, 宮野尚哉
  • Journal Title: 電子情報通信学会技術研究報告 Volume: No.NLP 2011-119 Pages: 13-18
  • NAID: 110009466586
• [Journal Article] Synchronization of Coupled Augmented Lorenz Oscillators with Parameter Mismatch
  • Author(s): K. Yoshimoto, K. Cho, Y. Morita, T.Miyano
  • Journal Title: Nonlinear Theory and Its Applications, IEICE Volume: (印刷中)
  • URL: http://www.nolta.ieice.org/
  • Peer Reviewed
• [Presentation] Bifurcation Structure of Augmented Lorenz Equations and Synchronizability of Coupled Augmented Lorenz Oscillators (2012)
  • Author(s): K. Yoshimoto, K. Cho, Y.Morita, T. Miyano
  • Organizer: 2012 International Symposium on Nonlinear Theory and its Applications
  • Place of Presentation: Palma, Majorca(Spain)
  • Year and Date: 2012-10-26
• [Presentation] 拡張ローレンツ系の動力学的性質 (2012)
  • Author(s): 宮野尚哉, 長憲一郎, 島山寿之
  • Organizer: 日本物理学会第67回年次大会
  • Place of Presentation: 関西学院大学(兵庫県)
  • Year and Date: 2012-03-27
• [Presentation] Augmented Lorenz Equations as Physical Model for Chaotic Gas Turbine (2011)
  • Author(s): T. Miyano, K. Cho, Y. Okada, J. Tatsutani, T. Toriyama
  • Organizer: 2011 International Union of Theoretical and Applied Mechanics Symposium on 50 Years of Chaos: Theoretical and Applied
  • Place of Presentation: 京都大学(京都府)
  • Year and Date: 2011-11-29
• [Presentation] Augmented Lorenz Equations as Physical Model for Chaotic Gas Turbine (2011)
  • Author(s): T.Miyano, K.Cho, Y.Okada, J.Tatsutani, T.Toriyama
  • Organizer: 2011 International Union of Theoretical and Applied Mechanics Symposium on 50 Years of Chaos : Theoretical and Applied
  • Place of Presentation: 京都大学(京都府)
  • Year and Date: 2011-11-29
• [Presentation] 乱流熱対流モデルとしての拡張ローレンツ方程式 (2011)
  • Author(s): 宮野尚哉, 長憲一郎, 鳥山寿之
  • Organizer: 日本物理学会2011年秋季大会
  • Place of Presentation: 富山大学(富山県)
  • Year and Date: 2011-09-22
• [Presentation] 拡張ローレンツ系ネットワークにおけるカオス同期 (2011)
  • Author(s): 長憲一郎, 辰谷淳悟, 吉本弘毅, 宮野尚哉
  • Organizer: 電子情報通信学会2011年ソサイエティ大会
  • Place of Presentation: 北海道大学(北海道)
  • Year and Date: 2011-09-14
• [Presentation] Chaotic Synchronization ofAugmented Lorenz Systems (2011)
  • Author(s): K. Cho, J. Tatsutani, T.Miyano
  • Organizer: 2011 International Symposium on Nonlinear Theory and its Applications
  • Place of Presentation: 神戸市産業振興センター(兵庫県)
  • Year and Date: 2011-09-06
• [Presentation] Chaotic Synchronization of Augmented Lorenz Systems (2011)
  • Author(s): K.Cho, J.Tatsutani, T.Miyano
  • Organizer: 2011 International Symposium on Nonlinear Theory and its Applications
  • Place of Presentation: 神戸市産業振興センター(兵庫県)
  • Year and Date: 2011-09-06
• [Presentation] Chaotic Gas Turbine Simulating the Motion of Convective Heat Flow (2011)
  • Author(s): K. Cho, Y. Okada, J. Tatsutani, T. Toriyama, T. Miyano
  • Organizer: 2011 International Symposium on Nonlinear Theory and its Applications
  • Place of Presentation: 神戸市産業振興センター(兵庫県)
  • Year and Date: 2011-09-05
• [Presentation] 拡張されたLorenz方程式 (2010)
  • Author(s): 宮野尚哉, 長憲一郎, 岡田有毅, 鳥山寿之
  • Organizer: 日本物理学会 2010年秋季大会
  • Place of Presentation: 大阪府立大学(大阪府)
  • Year and Date: 2010-09-26
• [Presentation] 拡張されたLorenz方程式の動力学的性質 (2010)
  • Author(s): 宮野尚哉, 長憲一郎, 辰谷淳悟, 岡田有毅, 鳥山寿之
  • Organizer: 電子情報通信学会 2010年ソサイエティ大会
  • Place of Presentation: 大阪府立大学(大阪府)
  • Year and Date: 2010-09-15
• [Presentation] Application of Open-Plus-Closed-Loop Control to Secure Communications Using Chaos Masking (2010)
  • Author(s): Y.Yoshida, T.Miyano
  • Organizer: 2010 International Symposium on Nonlinear Theory and its Applications
  • Place of Presentation: Krakow (Poland)
  • Year and Date: 2010-09-07
• [Presentation] 乱流熱対流の動力学モデルとしての拡張ローレンツ方程式
  • Author(s): 宮野尚哉，長憲一郎，鳥山寿之
  • Organizer: 第62回理論応用力学講演会
  • Place of Presentation: 東京工業大学大岡山キャンパス（東京都）
• [Remarks] カオスガスタービンの動画像を閲覧可能なURL
  • URL: http://www.ritsumei.ac.jp/se/~tmiyano/waterwheel09.html
• [Remarks] 上記URLの英語版
  • URL: http://www.ritsumei.ac.jp/se/~tmiyano/waterwheel09_english.html
• [Remarks] カオスガスタービンの設計図を閲覧可能なURL
  • URL: http://www.ritsumei.ac.jp/se/~tmiyano/detailed_drawings.pdf
• [Remarks] 上記URLの英語版
  • URL: http://www.ritsumei.ac.jp/se/~tmiyano/detailed_drawings.pdf
• [Remarks] Chaotic waterwheel and chaotic gas turbine
  • URL: http://www.ritsumei.ac.jp/se/~tmiyano/waterwheel09.html
• [Remarks]
  • URL: http://www.ritsumei.ac.jp/se/~tmiyano/index.html
• [Remarks]
  • URL: http://www.ritsumei.ac.jp/se/~tmiyano
• [Patent(Industrial Property Rights)] 秘話通信方法、秘話通信システム、及 び通信機 (2010)
  • Inventor(s): 宮野尚哉,長憲一郎,吉田雄輔
  • Industrial Property Rights Holder: 学校法人立命館
  • Industrial Property Number: 2010-174170
  • Filing Date: 2010-08-03
• [Patent(Industrial Property Rights)] 秘話通信方法、秘話通信システム、及び通信機 (2010)
  • Inventor(s): 宮野尚哉, 長憲一郎, 吉田雄輔
  • Industrial Property Rights Holder: 立命館大学
  • Industrial Property Number: 2010-174170
  • Filing Date: 2010-08-03