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#author("2021-04-23T19:36:20+09:00","","") #author("2021-04-23T19:39:32+09:00","","") *All news [#d90d3cfc] -Takahiro Inagaki, Kensuke Inaba, Timoth\'ee Leleu, Toshimori Honjo, Takuya Ikuta, Koji Enbutsu, Takeshi Umeki, Ryoichi Kasahara, -Takahiro Inagaki, Kensuke Inaba, Timothee Leleu, Toshimori Honjo, Takuya Ikuta, Koji Enbutsu, Takeshi Umeki, Ryoichi Kasahara, Kazuyuki Aihara, and Hiroki Takesue: [["Collective and Synchronous Dynamics of Photonic Spiking Neurons,">https://www.nature.com/articles/s41467-021-22576-4]] Nature Communications, Vol.12, Article No.2325, pp.1-8 (2021). -Keisuke Ejima, Kwang Su Kim, Shoya Iwanami, Yasuhisa Fujita, Ming Li, Roger S. Zoh, Kazuyuki Aihara, Taiga Miyazaki, Takaji Wakita and Shingo Iwami: [["Time Variation in the Probability of Failing to Detect a Case of Polymerase Chain Reaction Testing for SARS-CoV-2 as Estimated from a Viral Dynamics Model,">https://royalsocietypublishing.org/doi/10.1098/rsif.2020.0947]] Journal of the Royal Society Interface, Vol.8, No.177, 20200947, pp.1-7 (2021). -Rui Liu, Jiayuan Zhong, Renhao Hong, Ely Chen, Kazuyuki Aihara, Pei Chen, and Luonan Chen: [["Predicting local COVID-19 Outbreaks and Infectious Disease Epidemics based on Landscape Network Entropy,">https://www.sciencedirect.com/science/article/pii/S2095927321002413?dgcid=author]] Science Bulletin, doi:10.1016/j.scib.2021.03.022 (2021). -Japan Times [["Fourth wave takes shape as COVID-19 cases increase across Japan ">https://www.japantimes.co.jp/news/2021/03/31/national/fourth-wave-coronavirus-japan/]]. -Shunya Okuno, Koji Ikeuchi, Kazuyuki Aihara: [["Practical Data‐Driven Flood Forecasting Based on Dynamical Systems Theory,">https://agupubs.onlinelibrary.wiley.com/doi/10.1029/2020WR028427]] Water Resources Research, Vol.57, No.3, e2020WR028427, pp.1-18 (2021). -Daisuke Inoue, Akihisa Okada, Tadayoshi Matsumori, Kazuyuki Aihara, and Hiroaki Yoshida: [["Traffic Signal Optimization on a Square Lattice with Quantum Annealing,">https://www.nature.com/articles/s41598-021-82740-0]] Scientific Reports, Vol.11, Article No.3303, pp.1-12 (2021). -Yusuke Sakemi, Kai Morino, Timothee Leleu, and Kazuyuki Aihara: [["Model-size reduction for reservoir computing by concatenating internal states through time,">https://www.nature.com/articles/s41598-020-78725-0]] Scientific Reports, Vol.10, Article No.21794, pp.1-13 (2020). -Pei Chen, Rui Liu, Kazuyuki Aihara, and Luonan Chen: [["Autoreservoir computing for multistep ahead prediction based on the spatiotemporal information transformation,">https://doi.org/10.1038/s41467-020-18381-0]] Nature Communications, Vol.11, Article No.4568, pp.1-15 (2020). -S. Leng, H. Ma, J. Kurts, Y.-C. Lai, W. Lin, K. Aihara, and L. Chen: [["Partial Cross Mapping Eliminates Indirect Causal Influences,">https://www.nature.com/articles/s41467-020-16238-0]] Nature Communications, Vol.11, Article No.2632, pp.1-9 (2020). -Y. Itoh, S. Uenohara, M. Adachi, T. Morie, and K. Aihara: [["Reconstructing Bifurcation Diagrams Only from Time-series Data Generated by Electronic Circuits in Discrete-time Dynamical Systems,">https://aip.scitation.org/doi/10.1063/1.5119187]] Chaos, Vol.30, No.1, 013128-1-11 (2020). -M.K. Kajita, K. Aihara, and T.J. Kobayashi: [["Reliable Target Ligand Detection by Noise-induced Receptor Cluster Formation,">https://doi.org/10.1063/1.5140714]] Chaos: An Interdisciplinary Journal of Nonlinear Science, Vol.30, No.1, 011104-1-6 (2020). -S. Okuno, K. Aihara, and Y. Hirata: [["Forecasting high-dimensional Dynamics Exploiting Suboptimal Embeddings,">https://www.nature.com/articles/s41598-019-57255-4]] Scientific Reports, Vol.10, Article No.664, pp.1-11 (2020). -T. Leleu, Y. Yamamoto, P.L. McMahon, and K. Aihara: [["Destabilization of Local Minima in Analog Spin Systems by Correction of Amplitude Heterogeneity,">https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.122.040607]] Physical Review Letters, Vol.122, 040607-1-6 (2019). -S. Tsuji and K. Aihara: [["Criterion for Determining the Optimal Delay of Attractor Reconstruction using Persistent Homology,">https://www.jstage.jst.go.jp/article/nolta/10/1/10_74/_article]] Nonlinear Theory and Its Applications, IEICE, No.10, No.1, pp.74-89 (2019). -H. Ma, S. Leng, K. Aihara, W. Lin, and L. Chen: [["Randomly Distributed Embedding Making Short-term High-dimensional Data Predictable,">http://www.pnas.org/content/early/2018/10/04/1802987115]] Proceedings of the National Academy of Sciences of the United States of America, Vol.115, No.43, pp.E9994-E10002 (2018). -&ref("Laboratories for Mathematics, Lifesciences, and Informatics/maass20181112-A4.pdf",,,Special Seminar by Prof. Dr. Wolfgang Maass:"How do networks of spiking neurons compute and learn?"); will be held on November 12th, 2018 ([[registration>https://goo.gl/forms/8i2p7YzYmFIAiNjf1]]). -D. Ito, T. Ueta, K. Aihara: [["Bifurcation Analysis of Eight Coupled Degenerate Optical Parametric Oscillators,">https://doi.org/10.1016/j.physd.2018.01.010]] Physica D, Vol.372, pp.22-30 (2018). -[["Special issue on The second step of the FIRST,">http://www.nolta.ieice.org/]] Nonlinear Theory and Its Applications, IEICE, Vol.9, No.2 (2018). -&ref("Laboratories for Mathematics, Lifesciences, and Informatics/180305_workshop_program_fin.pdf",,,International Workshop on Early-warning signals from Fundamentals to Applications); was held at IIS on March 5-6th, 2018. -Y. Hirata, K. Morino, K. Akakura, C.S. Higano, and K. Aihara: [["Personalizing Androgen Suppression for Prostate Cancer Using Mathematical Modeling,">https://doi.org/10.1038/s41598-018-20788-1]] Scientific Reports, Vol.8, Article No.2673, pp.1-8 (2018). -B. Schäfer, C. Beck, K. Aihara, D. Witthaut, and M. Timme: [["Non-Gaussian Power Grid Frequency Fluctuations Characterized by Lévy-stable Laws and Superstatistics,">https://www.nature.com/articles/s41560-017-0058-z]] Nature Energy, Vol.3, No.2, pp.119-126 (2018) ([[arxiv:1807.08496>http://arxiv.org/abs/1807.08496]]). -A. Yamamura, K. Aihara, and Y. Yamamoto: [["Quantum Model for Coherent Ising Machines: Discrete-time Measurement Feedback Formulation,">https://journals.aps.org/pra/abstract/10.1103/PhysRevA.96.053834]] Physical Review A, Vol.96, No.5, 053834, pp.1-8 (2017). -T. Shoji, K. Aihara, and Y. Yamamoto: [["Quantum Model for Coherent Ising Machines: Stochastic Differential Equations with Replicator Dynamics,">https://journals.aps.org/pra/abstract/10.1103/PhysRevA.96.053833]] Physical Review A, Vol.96, No.5, 053833, pp.1-8 (2017). -P. Christodoulides, Y. Hirata, E. Domínguez-Hüttinger, S.G. Danby, M.J. Cork, H.C. Williams, Kazuyuki Aihara, and R.J. Tanaka: [["Computational Design of Treatment Strategies for Proactive Therapy on Atopic Dermatitis using Optimal Control Theory,">http://rsta.royalsocietypublishing.org/content/375/2096/20160285]] Philosophical Transactions of the Royal Society Series A, Vol.375, No.2096 (2017). -Y. Hirata and K. Aihara: [["Improving Time Series Prediction of Solar Irradiance after Sunrise: Comparison among Three Methods for Time Series Prediction,">http://www.sciencedirect.com/science/article/pii/S0038092X17303031]] Solar Energy, Vol.149, pp.294-301 (2017). -K. Kamiyama, M. Komuro, and K. Aihara: [["Homoclinic Cycle Bifurcations in Planar Maps,">http://www.worldscientific.com/doi/abs/10.1142/S0218127417300129]] International Journal of Bifurcation and Chaos, Vol.27, No.3, 1730012, pp.1-11 (2017). -M. Nagata, Y. Hirata, N. Fujiwara, G. Tanaka, H. Suzuki, and K. Aihara: [["Smoothing effect for spatially distributed renewable resources and its impact on power grid robustness,">http://aip.scitation.org/doi/full/10.1063/1.4977510]] Chaos, Vol.27, Article No.033104 (2017). -Y. Li, M. Oku, G. He, and K. Aihara: [["Elimination of Spiral Waves in a Locally Connected Chaotic Neural Network by a Dynamic Phase Space Constraint,">https://authors.elsevier.com/a/1UUBX3BBjKS8et]] Neural Networks, Vol.88, pp.9-21 (2017). -T. Leleu, Y. Yamamoto, S. Utsunomiya, and K. Aihara: [["Combinatorial Optimization using Dynamical Phase Transitions in Driven-dissipative Systems,">https://journals.aps.org/pre/abstract/10.1103/PhysRevE.95.022118]] Physical Review E, Vol.95, No.2, pp.022118-1-18 (2017). -T. Yuan, K. Aihara, and G. Tanaka: [["Robustness and Fragility in Coupled Oscillator Networks under Targeted Attacks,">https://journals.aps.org/pre/abstract/10.1103/PhysRevE.95.012315]] Physical Review E, Vol.95, No.1, pp.012315-1-6 (2017). -J.M. Amigo, Y. Hirata, and K. Aihara: [["On the Limits of Probabilistic Forecasting in Nonlinear Times Series Analysis,">http://aip.scitation.org/doi/full/10.1063/1.4971412]] Chaos, Vol.26, No.12, pp.123114-1-7 (2016). -C.T. Urabe, G. Tanaka, K. Aihara, and M. Mimura: [["Parameter Scaling for Epidemic Size in a Spatial Epidemic Model with Mobile Individuals,">http://journals.plos.org/plosone/article?id=10.1371/journal.pone.0168127]] PLOS ONE, Vol.11, No.12, e0168127, pp.1-16 (2016). -T. Inagaki, Y. Haribara, K. Igarashi, T. Sonobe, S. Tamate, T. Honjo, A. Marandi, P.L. McMahon, T. Umeki, K. Enbutsu, O. Tadanaga, H. Takenouchi, K. Aihara, K. Kawarabayashi, K. Inoue, S. Utsunomiya, and H. Takesue: [["A Coherent Ising Machine for 2000-node Optimization Problems,">http://science.sciencemag.org/content/354/6312/603]] Science, Vol.354, No.6312, pp.603-606 (2016). -P.L. McMahon, A. Marandi, Y. Haribara, R. Hamerly, C. Langrock, S. Tamate, T. Inagaki, H. Takesue, S. Utsunomiya, K. Aihara, R.L. Byer, M.M. Fejer, H. Mabuchi, and Y. Yamamoto: [["A Fully-programmable 100-spin Coherent Ising Machine with All-to-all Connections,">http://science.sciencemag.org/content/354/6312/614]] Science, Vol.354, No.6312, pp.614-617 (2016). -K. Inoue, H. Shinohara, M. Behar, N. Yumoto, G. Tanaka, A. Hoffmann, K. Aihara, and M. Okada-Hatakeyama: [["Oscillation Dynamics Underlie Functional Switching of NF-κB for B-cell Activation,">http://www.nature.com/articles/npjsba201624]] Systems Biology and Applications, Vol.2, Article No.16024, pp.1-9 (2016). -Y. Hirata, A. Oda, K. Ohta, and K. Aihara: [["Three-dimensional Reconstruction of Single-cell Chromosome Structure using Recurrence Plots,">http://www.nature.com/articles/srep34982]] Scientific Reports, Vol.6, Article No.34982, pp.1-9 (2016). -M. Komuro, K. Kamiyama, T. Endo, and K. Aihara: [["Quasi-Periodic Bifurcations of Higher-Dimensional Tori,">http://dx.doi.org/10.1142/S0218127416300160]] International Journal of Bifurcation and Chaos, Vol.26, No.7, Article No.163001, pp.1-40 (2016). -Bing Wang, Hideyuki Suzuki, and Kazuyuki Aihara: [["Enhancing Synchronization Stability in a Multi-area Power Grid,">http://www.nature.com/articles/srep26596]] Scientific Reports, Vol.6, Article No.26596, pp.1-11 (2016). -M. Fukino, Y. Hirata, and K. Aihara: [["Music Visualized by Nonlinear Time Series Analysis,">https://sinews.siam.org/DetailsPage/tabid/607/ArticleID/802/Music-Visualized-by-Nonlinear-Time-Series-Analysis.aspx]] Siam News, May 02, 2016. -M. Fukino, Y. Hirata, and K. Aihara: [[Chaos, Vol.26, 023116 (2016)>http://dx.doi.org/10.1063/1.4941371]] has been introduced in [[Physics Today>http://scitation.aip.org/content/aip/magazine/physicstoday/article/69/5/10.1063/PT.3.3159]]. -E. Fujioka, I. Aihara, M. Sumiya, K. Aihara, and S. Hiryu: [["Echolocating Bats Use Future-target Information for Optimal Foraging,">http://dx.doi.org/10.1073/pnas.1515091113]] Proceedings of the National Academy of Sciences of the United States of America, Vol.113, No.17, pp.4848-4852 (2016). -C. I. Tajima, S. Tajima, K. Koida, H. Komatsu, K. Aihara, and H. Suzuki: [["Population Code Dynamics in Categorical Perception,">http://dx.doi.org/10.1038/srep22536]] Scientific Reports, Vol. 6, Article No. 22536 (2016). -M. Fukino, Y. Hirata, and K. Aihara: [["Coarse-graining time series data: Recurrence plot of recurrence plots and its application for music,">http://dx.doi.org/10.1063/1.4941371]] Chaos, Vol. 26, 023116 (2016). ([[AIP Publishing in the News>https://www.aip.org/publishing/journal-highlights/visualizing-emotional-power-music]]). -T. Ueta, D. Ito, and K. Aihara: [["Can a Pseudo Periodic Orbit Avoid a Catastrophic Transition?,">http://www.worldscientific.com/doi/abs/10.1142/S0218127415501850]] International Journal of Bifurcation and Chaos, Vol.25, No.13, 1550185, pp.1-10 (2015). -R. Liu, P. Chen, K. Aihara, and L. Chen: [["Identifying Early-warning Signals of Critical Transitions with Strong Noise by Dynamical Network Markers>http://www.nature.com/articles/srep17501]]," Scientific Reports, Vol.5, Article No.17501, pp.1-13 (2015). -Y. Hirata, T. Takeuchi, S. Horai, H. Suzuki and K. Aihara: [["Parsimonious description for predicting high-dimensional dynamics,">http://dx.doi.org/10.1038/srep15736]] Scientific Reports, Vol. 5, Article No. 15736 (2015). -N. Takahashi, Y. Hirata, K. Aihara, and P. Mas: [["A Hierarchical Multi-oscillator Network Orchestrates the Arabidopsis Circadian System,">http://dx.doi.org/10.1016/j.cell.2015.08.062]] Cell, Vol.163, No.1, pp.148-159 (2015). -Y. Hirata, K. Morino, K. Akakura, C.S. Higano, N. Bruchovsky, T. Gambol, S. Hall, G. Tanaka, and K. Aihara: [["Intermittent Androgen Suppression: Estimating Parameters for Individual Patients Based on Initial PSA Data in Response to Androgen Deprivation Therapy,">http://journals.plos.org/plosone/article?id=10.1371/journal.pone.0130372]] PLOS ONE, Vol.10, No.6, e0130372-1-15 (2015). -K. Morino, Y. Hirata, R. Tomioka, H. Kashima, K. Yamanishi, N. Hayashi, S. Egawa, and K. Aihara: [["Predicting disease progression from short biomarker series using expert advice algorithm,">http://dx.doi.org/10.1038/srep08953]] Scientific Reports, Vol. 5, Article No. 8953 (2015). -T. Sasai, K. Morino, G. Tanaka, J.A. Almendral, and K. Aihara: [["Robustness of Oscillatory Behavior in Correlated Networks,">http://journals.plos.org/plosone/article?id=10.1371/journal.pone.0123722]] PLOS ONE, Vol.10, No.4, e0123722, pp.1-21 (2015). -H. Ma, K. Aihara, and L. Chen: [["Detecting Causality from Nonlinear Dynamics with Short-term Time Series,">http://www.nature.com/srep/2014/141212/srep07464/full/srep07464.html]] Scientific Reports, Vol.4, Article No.7464, pp.1-10 (2014). -B. Wang, G. Tanaka, H. Suzuki, and K. Aihara: [["Epidemic Spread on Interconnected Metapopulation Networks,">http://journals.aps.org/pre/abstract/10.1103/PhysRevE.90.032806]] Physical Review E, Vol.90, 032806-1-12 (2014). -R. Liu, X. Wang, K. Aihara, and L. Chen: [["Early Diagnosis of Complex Diseases by Molecular Biomarkers, Network Biomarkers, and Dynamical Network Biomarkers,">http://onlinelibrary.wiley.com/doi/10.1002/med.21293/abstract]] Medicinal Research Reviews, Vol.34, No.3, pp.455-478 (2014). -R. Liu, X. Yu , X. Liu, D. Xu, K. Aihara, and L. Chen:[["Identifying Critical Transitions of Complex Diseases based on a Single Sample,">http://bioinformatics.oxfordjournals.org/content/early/2014/03/07/bioinformatics.btu084]] Bioinformatics, Vol.30, No.11, pp.1579-1586 (2014). -K. Sato, J.S. Takeuchi, N. Misawa1, T. Izumi, T. Kobayashi, Y. Kimura, S. Iwami, A. Takaori-Kondo, W.-S. Hu, K. Aihara, M. Ito, D.S. An, V.K. Pathak, Y. Koyanagi: [["APOBEC3D and APOBEC3F Potently Promote HIV-1 Diversification and Evolution in Humanized Mouse Model,">http://www.plospathogens.org/article/info:doi/10.1371/journal.ppat.1004453]] PLOS Pathogens, Vol.10, No.10, e1004453 (2014). -G. Tanaka, C. Urabe, and K. Aihara: [["Random and Targeted Interventions for Epidemic Control in Metapopulation Models,">http://www.nature.com/srep/2014/140716/srep05522/full/srep05522.html]] Scientific Reports, Vol.4, Article No.5522, pp.1-8 (2014). -M. Hasegawa, H. Hirai, K. Nagano, H. Harada, and K. Aihara:[["Optimization for Centralized and Decentralized Cognitive Radio Networks,">http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=6767084&sortType%3Dasc_p_Sequence%26filter%3DAND%28p_IS_Number%3A6777968%29]] Proceedings of the IEEE, Vol.102, No.4, pp.574-584 (2014); K. Aihara and M. Hasegawa: [["Optimization, Chaotic Neural Networks, and Coherent Ising Machines [Further Thoughts],">http://ieeexplore.ieee.org/xpl/articleDetails.jsp?tp=&arnumber=6777974&refinements%3D4294967269%2C4291944246%26ranges%3D2014_2014_p_Publication_Year%26matchBoolean%3Dtrue%26searchField%3DSearch_All%26queryText%3D%28p_Authors%3AAihara%29]] Proceedings of the IEEE, Vol.102, No.4, p.585 (2014). -I. Aihara, T. Mizumoto, T. Otsuka, H. Awano, K. Nagira, H.G. Okuno, and K. Aihara: [["Spatio-Temporal Dynamics in Collective Frog Choruses Examined by Mathematical Modeling and Field Observations,">http://dx.doi.org/10.1038/srep03891]] Scientific Reports, Vol.4, Article No.3891, pp.1-8 (2014). -K. Sato, N. Misawa, S. Iwami, Y. Satou, M. Matsuoka, Y. Ishizaka, M. Ito, K. Aihara, D.S. An, Y. Koyanagi: [["HIV-1 Vpr Accelerates Viral Replication during Acute Infection by Exploitation of Proliferating CD4+ T Cells '''In Vivo''',">http://www.plospathogens.org/article/info:doi/10.1371/journal.ppat.1003812]] PLOS PATHOGENS, Vol.9, No.12, e1003812-1-12 (2013). -K. Sakamoto, Y. Katori, N. Saito, S. Yoshida, K. Aihara, H. Mushiake: "Increased Firing Irregularity as an Emergent Property of Neural-State Transition in Monkey Prefrontal Cortex," PLOS ONE, Vol.8, No.12, e80906-1-26 (2013). -B. Wang, H. Suzuki, and K. Aihara: [["Evaluating Roles of Nodes in Optimal Allocation of Vaccines with Economic Considerations,">http://dx.plos.org/10.1371/journal.pone.0070793]] PLOS ONE, Vol.8, No.8, e70793-1-9 (2013). -T. Omi, Y. Ogata, Y. Hirata, and K. Aihara: [["Forecasting Large Aftershocks within One Day after the Main Shock," >http://www.nature.com/srep/2013/130717/srep02218/full/srep02218.html]] Scientific Reports, Vol.3, Article No.2218, pp.1-7 (2013). -K. Sasahara, Y. Hirata, M. Toyoda, M. Kitsuregawa, and K. Aihara: [["Quantifying Collective Attention from Tweet Stream," >http://dx.plos.org/10.1371/journal.pone.0061823]] PLOS ONE, Vol.8, No.4, e61823, pp.1-10 (2013). -K. Ejima, K. Aihara, and H. Nishiura: [["The Impact of Model Building on the Transmission Dynamics under Vaccination: Observable (Symptom-Based) versus Unobservable (Contagiousness-Dependent) Approaches," >http://www.plosone.org/article/info%3Adoi%2F10.1371%2Fjournal.pone.0062062]] PLOS ONE, Vol.8, No.4, e62062, pp.1-10 (2013). -H. Suzuki, J. Imura, Y. Horio, and K. Aihara: [["Chaotic Boltzmann machines," >http://www.nature.com/srep/2013/130405/srep01610/full/srep01610.html]] Scientific Reports, Vol.3, Article No.1610, pp.1-5 (2013). -H. Suzuki, J. Imura, and K. Aihara: [["Chaotic Ising-like dynamics in traffic signals," >http://www.nature.com/srep/2013/130124/srep01127/full/srep01127.html]] Scientific Reports, Vol.3 Article No.1127, pp.1-6 (2013). -T. Kanamaru, H. Fujii, and K. Aihara: [["Deformation of Attractor Landscape via Cholinergic Presynaptic Modulations: A Computational Study Using a Phase Neuron Model," >http://dx.plos.org/10.1371/journal.pone.0053854]] PLOS ONE, Vol.8, No.1, e53854, pp.1-14 (2013). -R. Liu, M. Li, Z.-P. Liu, J. Wu, L. Chen, and K. Aihara: [["Identifying Critical Transitions and their Leading Biomolecular Networks in Complex Diseases," >http://www.nature.com/srep/2012/121108/srep00813/full/srep00813.html]] Scientific Reports, Vol.2, Article No.813, pp.1-9 (2012). -B. Wang, L. Cao, H. Suzuki, and K. Aihara: [["Safety-information-driven Human Mobility Patterns with Metapopulation Epidemic Dynamics," >http://www.nature.com/srep/2012/121126/srep00887/full/srep00887.html]] Scientific Reports, Vol.2, Article No.887, pp.1-8 (2012). -T. Kohda, Y. Horio, Y. Takahashi, & K. Aihara: [["Beta Encoders: Symbolic Dynamics and Electronic Implementation," >http://www.worldscientific.com/doi/abs/10.1142/S0218127412300315]] International Journal of Bifurcation and Chaos, Vol.22, No.9, 1230031 (2012). -K. Iwayama, Y. Hirata, K. Takahashi, K. Watanabe, K. Aihara & H. Suzuki: [["Characterizing global evolutions of complex systems via intermediate network representations," >http://www.nature.com/srep/2012/120525/srep00423/full/srep00423.html]] Scientific Reports, Vol.2, No.423, pp.1-5 (2012). -L. Chen, R. Liu, Z.-P. Liu, M. Li, and K. Aihara: [["Detecting Early-warning Signals for Sudden Deterioration of Complex Diseases by Dynamical Network Biomarkers," >http://www.nature.com/srep/2012/120329/srep00342/full/srep00342.html]] Scientific Reports, Vol.2, No.342, pp.1-6 (2012). -G. Tanaka, K. Morino, and K. Aihara: [["Dynamical Robustness in Complex Networks: The Crucial Role of Low-degree Nodes," >http://www.nature.com/srep/2012/120125/srep00232/full/srep00232.html]] Scientific Reports, Vol.2, No.232, pp.1-6 (2012). -T. Okamoto, K. Ikezoe, H. Tamura, M. Watanabe, K. Aihara, and I. Fujita: [["Predicted Contextual Modulation Varies with Distance from Pinwheel Centers in the Orientation Preference Map," >http://www.nature.com/srep/2011/111012/srep00114/full/srep00114.html]] Scientific Reports, Vol.1, No.114, pp.1-11 (2011). -K. Aihara(Ed.): [["Theory of Hybrid Dynamical Systems and its Applications to Biological and Medical Systems," >http://rsta.royalsocietypublishing.org/content/368/1930.toc]] Philosophical Transactions of the Royal Society A, Vol.368, No.1930 (2010) ([[details>http://rsta.royalsocietypublishing.org/site/issues/hybrid_dynamical_systems.xhtml]]). -L. Chen, R. Wang, C. Li, and K. Aihara, [[Modeling Biomolecular Networks in Cells:http://www.sat.t.u-tokyo.ac.jp/?%BF%F4%CD%FD%C0%B8%CC%BF%BE%F0%CA%F3%B3%D8%B8%A6%B5%E6%BC%BC%2F%C8%AF%C9%BD%CA%B8%B8%A5%2F%BD%F1%C0%D2%A5%EA%A5%B9%A5%C8%2FModeling%20Biomolecular%20Networks%20in%20Cells]]: Structures and Dynamics, Springer (2010) -[[BUNKI>http://bunki.sat.iis.u-tokyo.ac.jp/]], a free software for bifurcation analysis, is developed by ERATO Aihara Complexity Modelling Project, JST -K Aihara: [[Chaos in neurons>http://www.scholarpedia.org/article/Chaos_in_neurons]], [[Scholarpedia>http://www.scholarpedia.org]], 3(5):1786 (2008)