<講義ノート>動的に変化するネットワークと結合力学系 --数理モデル構築からデータ解析まで--

[1] R. Pastor-Satorras, C. Castellano, P. Van Mieghem, and A. Vespignani, “Epidemic

processes in complex networks,” Reviews of modern physics, vol. 87, no. 3, pp. 925–

979, 2015.

[2] R. Pastor-Satorras and A. Vespignani, “Epidemic Spreading in Scale-Free Networks,” Physical Review Letters, vol. 86, no. 14, pp. 3200–3203, 2001.

[3] A. Barrat, Dynamical Processes on Complex Networks. Cambridge: Cambridge

University Press, 2012.

[4] J. Guckenheimer and P. J. Holmes, Nonlinear Oscillations, Dynamical Systems, and

Bifurcations of Vector Fields. Applied Mathematical Sciences, New York: SpringerVerlag, 1983.

[5] Y. Kuramoto, Chemical Oscillations, Waves, and Turbulence. Springer Series in

Synergetics, Berlin Heidelberg: Springer-Verlag, 1984.

[6] A. L. Hodgkin and A. F. Huxley, “A quantitative description of membrane current and its application to conduction and excitation in nerve,” The Journal of

Physiology, vol. 117, pp. 500–544, 1952.

[7] T. Aoki and T. Aoyagi, “Scale-Free Structures Emerging from Co-evolution of a

Network and the Distribution of a Diffusive Resource on it,” Physical Review Letters, vol. 109, no. 20, p. 208702, 2012.

[8] T. Aoki and T. Aoyagi, “Co-evolution of phases and connection strengths in a

network of phase oscillators,” Physical Review Letters, vol. 102, no. 3, p. 034101,

2009.

[9] T. Aoki and T. Aoyagi, “Self-organized network of phase oscillators coupled by

activity-dependent interactions,” Physical Review E, vol. 84, no. 6, p. 10464, 2011.

[10] K. Ota and T. Aoyagi, “Direct extraction of phase dynamics from fluctuating rhythmic data based on a Bayesian approach,” arXiv:1405.4126 [nlin, q-bio], 2014.

《講義ノート》

物性研究・電子版 Vol. 10, No. 1, 101213(2022年3月号)

[11] K. Ota, I. Aihara, and T. Aoyagi, “Interaction mechanisms quantified from dynamical features of frog choruses,” Royal Society Open Science, vol. 7, p. 191693,

2020.

[12] T. Onojima, T. Goto, H. Mizuhara, and T. Aoyagi, “A dynamical systems approach

for estimating phase interactions between rhythms of different frequencies from

experimental data,” PLoS Computational Biology, vol. 14, no. 1, p. e1005928, 2018.

[13] C. M. Bishop, Pattern Recognition and Machine Learning. New York: Springer, 1st

ed. 2006. corr. 2nd printing 2011 版 ed., 2006.

...