2025
Tomomichi Nakamura and Tetsushi Ueta
A novel discrete chaotic dynamical system with intriguing periodicity and bifurcation structure
International Journal of Bifurcation and Chaos, Vol. 35, No. 10, 2530023, August 2025.
DOI: 10.1142/S021812742530023X

この論文で提案したモデルのリアプノフスペクトラムを求めるC言語のプログラムを公開しています。そのページは、こちら。
The C program for computing the Lyapunov spectrum of the model proposed in this paper is available here.

2024
Hideyuki Takagi, Hideyuki Doi, and Tomomichi Nakamura
Classifying animal migration patterns using small-shuffle surrogate and PCA evaluating short-term trends
Behaviour, 161, pp. 661–676, August 2024.
DOI: 10.1163/1568539X-bja10280

2022
Toshihiro Tanizawa and Tomomichi Nakamura
Detecting the relationships among multivariate time series using reduced auto-regressive modeling
Frontiers in Network Physiology 2:943239, October 2022.
DOI: 10.3389/fnetp.2022.943239

2019
Tomomichi Nakamura, Michael Small, and Toshihiro Tanizawa
Long-range correlation properties of stationary linear models with mixed periodicities
Physical Review E 99, 022128, February 2019.
DOI: 10.1103/PhysRevE.99.022128

2018
Toshihiro Tanizawa, Tomomichi Nakamura, Fumihiko Taya, and Michael Small
Constructing directed networks from multivariate time series using linear modelling technique
Physica A, 512, pp. 437-455, December 2018.
DOI: 10.1016/j.physa.2018.08.137

2016
谷澤 俊弘、中村 知道
時系列モデルのネットワーク構造に見られるダイナミクス
プラズマ・核融合学会誌, 第92巻第5号, pp. 352-356, 2016年5月

Takuya Saito, Tomomichi Nakamura, and Toru Ohira
Group chase and escape model with chasers' interaction
Physica A, 447, pp. 172-179, April 2016.
DOI: 10.1016/j.physa.2015.12.023

Tomomichi Nakamura, Toshihiro Tanizawa, and Michael Small
Constructing networks from a dynamical system perspective for multivariate nonlinear time series
Physical Review E 93, 032323, March 2016.
DOI: 10.1103/PhysRevE.93.032323

2015
Ryo Murakami, Tomomichi Nakamura, Shin Kimura, Masashi Manabe, and Toshihiro Tanizawa
On possible origins of trends in financial market price changes
Physica A, 420, pp. 179-189, February 2015.
DOI: 10.1016/j.physa.2014.11.021

2013
David M. Walker, Antoinette Tordesillas, Tomomichi Nakamura, and Toshihro Tanizawa
Directed network topologies of smart grain sensors
Physical Review E, 87, 032203, March 2013.
DOI: 10.1103/PhysRevE.87.032203

2012
Tomomichi Nakamura and Toshihro Tanizawa
Networks with time structure from time series
Physica A, 391, pp. 4704-4710, October 2012.
DOI: 10.1016/j.physa.2012.05.039

2009
Hideki Takayasu and Tomomichi Nakamura
Estimation of parameters from discrete random nonstationary time series
Progress of Theoretical Physics Supplement, 179, pp. 198-208, May 2009.
DOI: 10.1143/PTPS.179.198

2008
Jie Zhang, Junfeng Sun, Xiaodong Luo, Kai Zhang, Tomomichi Nakamura, and Michael Small
Characterizing pseudoperiodic time series through complex network approach
Physica D, 237, pp. 2856-2865, November 2008.
DOI: 10.1016/j.physd.2008.05.008

2007
Tomomichi Nakamura and Michael Small
Correlation structures in short-term variabilities of stock indices and exchange rates
Physica A, 383, pp. 96-101, September 2007.
DOI: 10.1016/j.physa.2007.04.103

Junfeng Sun, Yi Zhao, Tomomichi Nakamura, and Michael Small
From phase space to frequency domain: A time-frequency analysis for chaotic time series
Physical Review E, 76, 016220, July 2007.
DOI: 10.1103/PhysRevE.76.016220

Tomomichi Nakamura, Yoshito Hirata, Kevin Judd, Devin Kilminster, and Michael Small
Improved parameter estimation from noisy time series for nonlinear dynamical systems
International Journal of Bifurcation and Chaos, 17(5), pp. 1741-1752, May 2007.
DOI: 10.1142/S021812740701804X

Tomomichi Nakamura and Michael Small
Tests of the random walk hypothesis for financial data
Physica A, 377, pp. 599-615, April 2007.
DOI: 10.1016/j.physa.2006.10.073
This paper is introduced on Wikipedia as Reference 8.

Tomomichi Nakamura and Michael Small
Testing for random walk
Physics Letters A, 362, pp. 189-197, February 2007.
DOI: 10.1016/j.physleta.2006.10.018

Jie Zhang, Xiaodong Luo, Tomomichi Nakamura, Junfeng Sun, and Michael Small
Detecting temporal and spatial correlations in pseudoperiodic time series
Physical Review E, 75, 016218, January 2007.
DOI: 10.1103/PhysRevE.75.016218

2006
Tomomichi Nakamura and Michael Small
Applying the method of Small-Shuffle Surrogate data: Testing for dynamics in fluctuating data with trends
International Journal of Bifurcation and Chaos, 16(12), pp. 3581-3603, December 2006.
DOI: 10.1142/S0218127406016999

Tomomichi Nakamura and Michael Small
Nonlinear dynamical system identification with dynamic noise and observational noise
Physica D, 223, pp. 54-68, November 2006.
DOI: 10.1016/j.physd.2006.08.013

Tomomichi Nakamura, Yoshito Hirata and Michael Small
Testing for correlation structures in short-term variabilities with long-term trends of multivariate time series
Physical Review E, 74, 041114, October 2006.
DOI: 10.1103/PhysRevE.74.041114

Kevin Judd and Tomomichi Nakamura
Degeneracy of time series models: The best model is not always the correct model
Chaos, 16(3), 033105, September 2006.
DOI: 10.1063/1.2213957

Tomomichi Nakamura, Kevin Judd, Alistair I. Mees, and Michael Small
A comparative study of information criteria for model selection
International Journal of Bifurcation and Chaos, 16(8), pp. 2153-2175, August 2006.
DOI: 10.1142/S0218127406015982

Tomomichi Nakamura, Michael Small, and Yoshito Hirata
Testing for nonlinearity in irregular fluctuations with long-term trends
Physical Review E, 74, 026205, August 2006.
DOI: 10.1103/PhysRevE.74.026205
This paper is introduced on Wikipedia as Reference 16.

Tomomichi Nakamura and Michael Small
Testing for dynamics in the irregular fluctuations of financial data
Physica A, 366, pp. 377-386, July 2006.
DOI: 10.1016/j.physa.2005.10.032

Tomomichi Nakamura and Michael Small
Modelling nonlinear time series using improved least squares method
International Journal of Bifurcation and Chaos, 16(2), pp. 445-464, February 2006.
DOI: 10.1142/S0218127406014927

2005
Tomomichi Nakamura and Michael Small
Small-shuffle surrogate data: Testing for dynamics in fluctuating data with trends
Physical Review E, 72, 056216, November 2005.
DOI: 10.1103/PhysRevE.72.056216
This paper is introduced on Wikipedia as Reference 15.

Tomomichi Nakamura, Xiaodong Luo, and Michael Small
Testing for nonlinearity in time series without the Fourier transform
Physical Review E, 72, 055201(R), November 2005.
DOI: 10.1103/PhysRevE.72.055201

Xiaodong Luo, Tomomichi Nakamura, and Michael Small
Surrogate test to distinguish between chaotic and pseudoperiodic time series
Physical Review E, 71, 026230, February 2005.
DOI: 10.1103/PhysRevE.71.026230
This paper is introduced on Wikipedia as Reference 20.

2004
Tomomichi Nakamura, Devin Kilminster, Kevin Judd, and Alistair I. Mees
A comparative study of model selection methods for nonlinear time series
International Journal of Bifurcation and Chaos, 14(3), pp. 1129-1146, March 2004.
DOI: 10.1142/S0218127404009752

Tomomichi Nakamura
Modelling nonlinear time series using selection methods and information criteria
Ph.D. Thesis, School of Mathematics and Statistics, The University of Western Australia, February 2004.

2003
Tomomichi Nakamura, Kevin Judd, and Alistair I. Mees
Refinements to model selection for nonlinear time series
International Journal of Bifurcation and Chaos, 13(5), pp. 1263-1274, May 2003.
DOI: 10.1142/S0218127403007205

2000
Makoto Nakamura, Akihiko Homma, Eisuke Tatsumi, Kunihiro Uesho, Yoshiyuki Taenaka, Toru Masuzawa,
Tomomichi Nakamura, Bin Zhang, Yukihide Kakuta, Kyoko Imada, Takeshi Nakatani, and Hisateru Takano
Mixed Venous Oxygen Saturation as a Promising Parameter for Physiological Control of Total Artificial Heart
ASAIO Journal (American Society for Artificial Internal Organs Journal), Vol. 46, 6, pp. 761-766, November/December 2000.
DOI: 10.1097/00002480-200011000-00020

1999
Makoto Nakamura, Toru. Masuzawa, Eisuke. Tatsumi, Yoshiyuki. Taenaka, Takashi Ohno, Tomomichi Nakamura,
Bin Zhang, Yukihide Kakuta, Takeshi Nakatani, and Hisateru Takano
Control of a total artificial heart using mixed venous oxygen saturation
ASAIO Journal (American Society for Artificial Internal Organs Journal), Vol. 45, 5, pp. 460-465, September/October 1999.
DOI: 10.1097/00002480-199909000-00018

Kenji Shiba, Eimei Shu, Kohji Koshijj, Kinji Tsukahara, Tomomichi Nakamura, Toru Masuzawa, Eisuke Tatsumi,
Yoshiyuki Taenaka, and Hisateru Takano
A transcutaneous energy transmission system with rechargeable internal back-up battery for a totally implantable artificial heart
ASAIO Journal (American Society for Artificial Internal Organs Journal), Vol. 45, 5, pp.466-470, September/October 1999.
DOI: 10.1097/00002480-199909000-00019

Hiroyuki Honda, Kenji Shiba, Eimei Shu, Kohji Koshiji, Takeji Murai, Tomomichi Nakamura, Toru Mauzawa,
Eisuke Tatsumi, Yoshiyuki Taenaka, and Hisateru Takano
Selection of a rechargeable internal back-up battery for a totally implantable artificial heart
ASAIO Journal (American Society for Artificial Internal Organs Journal), Vol. 45, 4, pp. 339-343, July/August 1999.
DOI: 10.1097/00002480-199907000-00016

Makoto Nakamura, Toru Masuzawa, Eisuke Tatsumi, Yoshiyuki Taenaka, Tomomichi Nakamura, Bin Zhang,
Takeshi Nakatani, Hisateru Takano, and Takashi Ohno
The development of a control method for a total artificial heart using mixed venous oxygen saturation
Artificial Organs, Vol. 23, 3, pp. 235-241, March 1999.
DOI: 10.1046/j.1525-1594.1999.06314.x

Eisuke Tatsumi, Toru Masuzawa, Makoto Nakamura, Yoshiyuki Taenaka, Takashi Nishimura, Seiko Endo, Bin Zhang,
Yukihide Kakuta, Masako Nakata, Tomomichi Nakamura, Tomohiro Nishinaka, Hisateru Takano, Kinji Tsukahara,
and Katsuya Tsuchimoto
In vivo evaluation of the National Cardiovascular Center electrohydraulic total artificial heart
Artificial Organs, Vol. 23, 3, pp. 242-248, March 1999.
DOI: 10.1046/j.1525-1594.1999.06315.x

中村 真人、巽 英介、増澤 徹、妙中 義之、大野 孝、上所 邦広、角田 幸秀、張 斌、中村 知道、高野 久輝
混合静脈血酸素飽和度に基づいた全人工心臓流量制御法の開発
日本人工臓器学会会誌 人工臓器, 第28巻第2号, pp. 333-338, 1999年3月.
DOI: 10.11392/jsao1972.28.333

1998
柴 建次、周 英明、越地 耕二、塚原 金二、土本 勝也、大海 武晴、中村 知道、遠藤 誠子、増澤 徹、巽 英介、 妙中 義之、高野 久輝
完全埋込型人工心臓用体外結合型経皮エネルギー伝送システム ～電気工学的観点からのin vitroおよびin vivo評価～
日本人工臓器学会会誌 人工臓器，第27巻第2号, pp. 341-346, 1998年4月.
DOI: 10.11392/jsao1972.27.341

中村 知道、増澤 徹、遠藤 誠子、角田 幸秀、巽 英介、妙中 義之、高野 久輝、柴 建次、越地 耕二
体内完全埋込型人工心臓に用いる経皮エネルギー伝送ユニットの生体適合性及び実用性の評価 ～体内埋込時の温度特性とエネルギー伝送効率の検討～
日本人工臓器学会会誌 人工臓器，第27巻第2号, pp. 347-351, 1998年4月.
DOI: 10.11392/jsao1972.27.347