[解説論文]

  1. 田中久陽, 「非線形問題とヘルダーの不等式 (続編)」, 電子情報通信学会 基礎・境界ソサイエティ Fundamental Review, vol. 12, no. 4, pp. 238-247, April 2019.(pdf)
  2. 田中久陽, 「物理分野に現れる可解な最適化問題の最近の話題」, 京都大学数理解析研究所講究録, Vol. 2027, pp.93-108, 2017年4月.(pdf)
  3. 田中久陽, 「非線形問題とヘルダーの不等式」, 電子情報通信学会 基礎・境界ソサイエティ Fundamental Review, vol. 9, no. 3, pp. 219-228, 2016年1月.(pdf)
  4. 田中久陽, 「注入同期の物理限界」, 応用数理, vol.24, no. 3, pp.103-109, 2014年10月. (pdf)
  5. 田中久陽, 「アドホック・センサネットワークにおけるダイナミクスの問題」, システム/制御/情報, vol. 53, no. 8, pp. 352-357, 2009年8月. (pdf)
  6. 田中久陽, 大石進一, 「同期技術と同期現象 (最近の研究から)」, 日本物理学会誌, vol. 53, no. 3, pp. 200-204, 1998年3月. (pdf)
  7. 田中久陽, 「同期現象の科学の最近の進展」, 電子情報通信学会誌, vol. 80, no. 11, pp. 1175-1179, 1997年11月.(電子情報通信学会誌のページ)
最適化問題

[学術論文(査読あり)]

  1. Hisa-Aki Tanaka, Masaki Nakagawa, and Yasutada Oohama, “A Direct Link between R´enyi-Tsallis Entropy and H¨older’s Inequality ― Yet Another Proof of R´enyi-Tsallis Entropy Maximization,” MDPI Journal Entropy, vol. 21, issue 6, 549, May. 2019. (pdf)
アドホックネットワーク, ユビキタス・センサネットワーク

[学術論文(査読あり)]

  1. 中川正基, 慶田朗, 田中久陽: 「受信端末始動通信による非同期型フラッディングプロトコルの提案とシミュレーション評価」, 電子情報通信学会論文誌 A, vol. J102-A, no. 3, pp. 133-148, 2019年3月.(pdf)
    (Masaki Nakagawa, Akira Keida, and Hisa-Aki Tanaka: ``Design and Simulation Analysis of An Asychronous Flooding Protocol Based on Receiver-Initiated Media Access Control," Trans. IEICE A, vol. J102-A, no. 3, pp. 133-148, Mar. 2019.)(pdf)
  2. Hisa-Aki Tanaka and Kenta Shinohara: "A mode-lock free decentralized timing synchronization algorithm for intervehicle ad-hoc networks," Nonlinear Theory and Its Applications (NOLTA), IEICE, vol. 6, no. 2, pp. 285-294, Apr. 2015. (pdf)

  3. Hisa-Aki Tanaka, Hiroya Nakao, and Kenta Shinohara: "Self-organizing timing allocation mechanism in distributed wireless sensor networks," IEICE Electronics Express, 2009. (pdf)

  4. Hisa-Aki Tanaka, Osamu Masugata, Daisuke Ohta, Akio Hasegawa, and Peter Davis: "Fast, self-adaptive timing-synchronization algorithm for 802.11 MANET," IEE Electronics Letters, vol. 42, no. 16, pp. 932-934 , Aug. 2006. (pdf)

  5. 田中 久陽, 太田 大輔, 増形 惣, 長谷川 晃朗, デイビス ピーター: 「IEEE 802.11 MAC プロトコルを用いたマルチホップアドホックネットワークにおける時刻同期過程とその障害の解析」, 電子情報通信学会論文誌 A, vol. J90-A, no.3, pp. 228-239, 2007年 3月.(pdf)
    (Hisa-Aki Tanaka, Daisuke Ohta, Osamu Masugata, Akio Hasegawa, Peter Davis: "Analysis of timing synchronization process and its bottleneck in multi-hop ad hoc networks using IEEE 802.11 MAC protocol," submitted to Trans. IEICE A, 2007. (pdf))
同期現象(シンクロニゼーション)の解明, 同期システムへの応用

[学術論文(査読あり)]

  1. Hisa-Aki Tanaka, Yoji Yabe, Somei Suga, Akira Keida, Kai Maeda, Fumito Mori and Hiroo Sekiya: "Maximisation of synchronisability under low injection power," Europhysics Letters, vol. 146, no. 5, 52001, July 2024. (pdf))
  2. 慶田朗, 矢部洋司, 前多夏維, 菅聡明, 森史, 関屋大雄, 田中久陽: 「低注入電力下での注入同期能力の最大化」, 電子情報通信学会論文誌 A, vol. 107-A, no. 3, pp. 47-55, 2024年5月年. (pdf)
    (Akira Keida, Yoji Yabe, Kai Maeda, Somei Suga, Fumito Mori, Hiroo Sekiya, and Hisa-Aki Tanaka: "Maximization of Injection-Locking Ability under Low Injection Power," Trans. IEICE A, vol. J107-A, no. 3, pp. 47-55, May. 2024.)(pdf)
  3. Yoji Yabe, Hisa-Aki Tanaka, Hiroo Sekiya, Masaki Nakagawa, Fumito Mori, Kensuke Utsunomiya, and Akira Keida: "Locking Range Maximization in Injection-Locked Class-E Oscillator — A Case Study for Optimizing Synchronizability," IEEE Transactions on Circuits and Systems-I: Regular Papers, vol. 67, issue 5, pp. 1762-1774, May.2020. (pdf)
  4. 矢部洋司, 欧陽有界, 中川正基, 宇都宮健介, 永島和治, 関屋大雄, 田中 久陽: 「注入同期型E級発振器のロックレンジを最大化する入力波形の設計と実験検証」, 電子情報通信学会論文誌 A, vol. J101-A, no. 10, pp. 250-259, 2018年10月.(pdf)
    (Yoji Yabe, Youjie Ouyang, Masaki Nakagawa, Kensuke Utsunomiya, Tomoharu Nagashima, Hiroo Sekiya, and Hisa-Aki Tanaka: "A Design and Its Experimental Verification of Optimal Input Waveforms Maximizing Locking Ranges for an Injection-Locked Class-E Oscillator," Trans. IEICE A, vol. J101-A, no. 10, pp. 250-259, Oct. 2018.)(pdf)
  5. Hisa-Aki Tanaka, Youjie Ouyang, Yoji Yabe, Isao Nishikawa, and Kazuki Nakada, "Better Clock Synchronization From Simultaneous Two Skew Estimations," Nonlinear Theory and Its Applications (NOLTA), IEICE, vol. 7, no. 4, pp.548-556, Oct. 2016. (pdf))
  6. 矢部洋司,西川功,中田一紀,守川知行,関屋大雄,安藤芳晃,田中久陽: 「注入同期のロックレンジを最大化する入力信号波形 — CMOS リングオシレータを例として —」, 電子情報通信学会論文誌 C, vol. J99-C, no. 6, pp. 298-313, 2016. (pdf)

    ( Yoji Yabe, Isao Nishikawa, Kazuki Nakada, Tomoyuki Morikawa, Hiroo Sekiya, Yoshiaki Ando, and Hisa-Aki Tanaka: "Input signal waveforms for maximal injection-locking range — An application to CMOS ring oscillators —," Trans. IEICE C, no. 6, pp. 298-313, 2016. (pdf))

  7. Hisa-Aki Tanaka, Isao Nishikawa, Jürgen Kurths, Yifei Chen, and István Z. Kiss, "Optimal synchronization of oscillatory chemical reactions with complex pulse, square, and smooth waveforms signals maximizes Tsallis entropy," Europhysics Letters, vol. 111, no. 5, 50007, Sep. 2015. (pdf)

  8. Hisa-Aki Tanaka: "Optimal entrainment with smooth, pulse, and square signals in weakly forced nonlinear oscillators," Physica D: Nonlinear Phenomena, vol. 288, pp. 1-22, Nov. 2014. (pdf)

  9. Tomoharu Nagashima, Xiuqin Wei, Hisa-Aki Tanaka, Hiroo Sekiya: "Locking Range Derivations for Injection-Locked Class-E Oscillator Applying Phase Reduction Theory," IEEE Transactions on Circuits and Systems-I: Regular Papers, vol. 61, no. 10, pp. 2904-2911, Oct. 2014. (pdf)
  10. 田中久陽: "注入同期の物理限界," 応用数理, vol.24 , no.3, pp. 7-13, 2014年10月. (pdf)
  11. Hisa-Aki Tanaka: "Synchronization limit of weakly forced nonlinear oscillators," Journal of Physics A: Mathematical and Theoretical, (Rapid Communications) 47, 402002(1-10), Sep. 2014. (pdf)

  12. Anatoly Zlotnik, Yifei Chen, István Z. Kiss, Hisa-Aki Tanaka and Jr-Shin Li, "Optimal waveform for fast entrainment of weakly forced nonlinear oscillators," Physical Review Letters. 111, 024102, 2013. (pdf)
  13. Takahiro Harada, Hisa-Aki Tanaka, Michael J. Hankins, and István Z. Kiss: "Optimal Waveform for the Entrainment of a Weakly Forced Oscillator," Physical Review Letters. 105, 088301, 2010. (pdf)

  14. Kuniyasu Shimizu, Tetsuro Endo, and Hisa-Aki Tanaka: "Averaging Method Analysis of Synchronization Characteristics of a Large Number of Nonlinearly Coupled van der Pol Oscillators," to appear in IEICE Trans. Fundamentals, 2007. (pdf)
  15. Hisa-Aki Tanaka, Kuniyasu Shimizu, Osamu Masugata, and Tetsuro Endo: "Flexible phase synchronisation control method using partially unlocking oscillator arrays," IEE Electronics Letters, vol. 43, no. 12, pp. 672-674 , 2007. (pdf)
  16. 清水邦康,遠藤哲郎,田中久陽: 「非線形結合された二つのvan der Pol発振器の平均化法による同期特性の解析」, 電子情報通信学会論文誌 A, vol. J90-A, no.2, pp. 111-121, 2007年 2月. (pdf)
  17. 太田 大輔,田中 久陽, 毎野 裕亮:「同期現象の解析に必要な位相方程式を導出するアルゴリズムに関する比較検討」, 電子情報通信学会論文誌 A, vol. J84-A, no. 3, pp. 190-198, 2006年3月.(pdf)
    ( Daisuke Ohta, Hisa-Aki Tanaka, and Yusuke Maino: "Two Computational Algorithms for Deriving Phase Equations; Equivalence and Some Cautions," Trans. IEICE A, 2006. (pdf))
  18. 永田憲章,田中久陽:「位相方程式によるショウジョウバエ概日時計システムの引き込み同調の解析」, 電子情報通信学会論文誌 A, VOL.J88-A No.4 pp. 535-543, April 2005.(pdf)
    ( Noriaki Nagata and Hisa-Aki Tanaka: "Analysis of Entrainment in the Drosophila Circadian Clock System," Trans. IEICE A, 2005(pdf))
  19. Hisa-Aki Tanaka, Akio Hasegawa, Hiroyuki Mizuno, and Tetsuro Endoh, "Synchronizability of Distributed Clock Oscillators," IEEE Transactions on Circuit and Systems-I: Fundamental Theory and Applications, vol. 49, no. 9, pp. 1271 - 1278, Sep. 2002.(pdf)

  20. Hisa-Aki Tanaka and Akio Hasegawa: "A modelock avoiding synchronisation method," IEE Electronics Letters, vol. 38 , no. 4, pp. 186-187, Feb. 2002. (pdf)
  21. 田中久陽, 長谷川晃朗, 大場信義:「集団同期のパーコレーション効果 -東南アジアホタルPteroptyx 属の棲み分け仮説-」, 電子情報通信学会論文誌 A, vol. J84-A, no. 6, pp. 870-874, 2001年6月.(pdf)
    ( Hisa-Aki Tanaka, Akio Hasegawa, and Nobuyoshi Ohba: "Percolation Effect on Population Synchrony," Trans. IEICE A, vol. J84-A, no. 6, pp. 870-874, June 2001. (pdf))
  22. Hisa-Aki Tanaka, Akio Hasegawa, and Shinichiro Haruyama: "Reconfigurable phase-locked loops on a FPGA utilizing intrinsic synchronizability," IEE Electronics Letters, vol. 37, no. 2, pp. 77 - 78, Jan. 2001. (pdf)
  23. Hisa-Aki Tanaka, Allan J. Lichtenberg, and Shin'ichi Oishi: " Self-Synchronization in Globally Coupled Oscillators with Hysteretic Response," Physica D, vol. 100, pp. 279-300, 1997. (pdf)
  24. Hisa-Aki Tanaka, Maria de Sousa Vieira, Allan J. Lichtenberg, Michael A. Lieberman, and Shin'ichi Oishi: "Stability of Synchronized States in One Dimensional Networks of Second Order PLLs," International Journal of Bifurcation and Chaos, vol. 7, no. 3, pp. 681-690, 1997.
  25. Hisa-Aki Tanaka, Shin'ichi Oishi, and Kazuo Horiuchi: "Geometric Structure of Two Coupled Phase-Locked Loops," IEEE Transactions on Circuit and Systems-I: Fundamental Theory and Applications, vol. 43, no. 6, pp. 438 - 443, June 1996. (pdf)
  26. Hisa-Aki Tanaka: "Chaos from Orbit-Flip Homoclinic Orbits Generated in a Practical Circuit," Physical Review Letters, vol. 74, no. 8, pp. 1339 - 1342, Feb. 1995. (pdf)

  27. Hisa-Aki Tanaka, Shin'ichi Oishi and Kazuo Horiuchi: "Melnikov Analysis of a Second Order PLL Demodulator in the Presence of CW Interferences," IEICE Trans. Fundamentals, vol. E77-A, no. 11, pp. 1887 - 1891, Nov. 1994. (pdf)
ネットワークダイナミクス, 粘菌の分散知能の研究

[学術論文(査読あり)]

  1. Hisa-Aki Tanaka, Kazuki Nakada, Yuta Kondo, Tomoyuki Morikawa, and Isao Nishikawa: "A Simplistic Dynamic Circuit Analogue of Adaptive Transport Networks in True Slime Mold," Nonlinear Theory and Its Applications (NOLTA), IEICE, vol. E7-N, no. 2, pp. , Apr. 2016. (pdf)
  2. Hisa-Aki Tanaka, Yuta Kondo, and Hiroyuki Nei: "What do amoebae look before they leap? - an efficient mechanism before sporulation in the true slime mold Physarum polycephalum -," Nonlinear Theory and Its Applications (NOLTA), IEICE, vol. 6, no. 2, pp. 275-284, Apr. 2015. (pdf)

  3. 寺田和子, 田中久陽, 吉沢修治: 「筋肉のHodgkin-Huxley方程式の2パラメータ分岐」, 電子情報通信学会論文誌 A, vol. J81-A, no. 10, pp. 1331-1338, 1998年10月. (pdf)
    ( Kazuko Terada, Hisa-Aki Tanaka, and Shuji Yoshizawa: "Two-Parameter Bifurcations in the Hodgkin-Huxley Equations for Muscle Fibers," Trans. IEICE A, vol. J81-A, no. 10, pp. 1331-1338, Oct. 1998. )
    ( 英訳:Electronics and Communications in Japan: Part3, vol. 83, pp. 86 - 94, 2000.)
  4. 田中久陽,岡田淳, 大石進一,堀内和夫:「多くのパラメータをもつダイナミカルシステムの特異点解析 - 非対称結合神経回路網モデルへの応用 -」, 電子情報通信学会論文誌 A, vol. J77-A, no.7, pp. 965 - 973, 1994年7月. (pdf)
    ( Hisa-Aki Tanaka, Atsushi Okada, Shin'ichi Oishi, and Kazuo Horiuchi: "Singular Point Analysis for Dynamical Systems with Many Parameters - An Application to Asymmetrically and Densely Connected Neural Network Model," IEICE Trans. Fundamentals, vol. J77-A, no.7, pp. 965 - 973, July 1994.)
    ( 英訳:Electronics and Communications in Japan: Part3, vol. 77, no. 10, pp. 92 - 102, Oct. 1994.)