Tyulkina, Irina V.; Goldobin, Denis S.; Klimenko, Lyudmila S.; Poperechny, Igor S.; Raikher, Yuriy L. Collective in-plane magnetization in a two-dimensional XY macrospin system within the framework of generalized Ott-Antonsen theory. (English) Zbl 1462.82009 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 378, No. 2171, Article ID 20190259, 18 p. (2020). MSC: 82B20 78A30 PDFBibTeX XMLCite \textit{I. V. Tyulkina} et al., Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 378, No. 2171, Article ID 20190259, 18 p. (2020; Zbl 1462.82009) Full Text: DOI arXiv
Hagos, Zeray; Stankovski, Tomislav; Newman, Julian; Pereira, Tiago; Mcclintock, Peter V. E.; Stefanovska, Aneta Synchronization transitions caused by time-varying coupling functions. (English) Zbl 1462.34061 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 377, No. 2160, Article ID 20190275, 16 p. (2019). MSC: 34C15 34D06 PDFBibTeX XMLCite \textit{Z. Hagos} et al., Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 377, No. 2160, Article ID 20190275, 16 p. (2019; Zbl 1462.34061) Full Text: DOI
Paluš, Milan Coupling in complex systems as information transfer across time scales. (English) Zbl 1462.62295 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 377, No. 2160, Article ID 20190094, 15 p. (2019). MSC: 62G99 62B10 62M10 62P12 86A32 86A08 PDFBibTeX XMLCite \textit{M. Paluš}, Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 377, No. 2160, Article ID 20190094, 15 p. (2019; Zbl 1462.62295) Full Text: DOI
Rosenblum, Michael; Pikovsky, Arkady Nonlinear phase coupling functions: a numerical study. (English) Zbl 1462.34064 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 377, No. 2160, Article ID 20190093, 12 p. (2019). MSC: 34C15 70K05 PDFBibTeX XMLCite \textit{M. Rosenblum} and \textit{A. Pikovsky}, Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 377, No. 2160, Article ID 20190093, 12 p. (2019; Zbl 1462.34064) Full Text: DOI arXiv Link
Jafarian, Amirhossein; Zeidman, Peter; Litvak, Vladimir; Friston, Karl Structure learning in coupled dynamical systems and dynamic causal modelling. (English) Zbl 1462.62181 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 377, No. 2160, Article ID 20190048, 20 p. (2019). MSC: 62F15 92-10 92B15 PDFBibTeX XMLCite \textit{A. Jafarian} et al., Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 377, No. 2160, Article ID 20190048, 20 p. (2019; Zbl 1462.62181) Full Text: DOI arXiv Link
Rosenblum, M.; Frühwirth, M.; Moser, M.; Pikovsky, A. Dynamical disentanglement in an analysis of oscillatory systems: an application to respiratory sinus arrhythmia. (English) Zbl 1462.92033 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 377, No. 2160, Article ID 20190045, 14 p. (2019). MSC: 92C50 34C15 37N25 PDFBibTeX XMLCite \textit{M. Rosenblum} et al., Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 377, No. 2160, Article ID 20190045, 14 p. (2019; Zbl 1462.92033) Full Text: DOI arXiv Link
Ashwin, Peter; Bick, Christian; Poignard, Camille State-dependent effective interactions in oscillator networks through coupling functions with dead zones. (English) Zbl 1462.34058 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 377, No. 2160, Article ID 20190042, 24 p. (2019). MSC: 34C15 05C82 PDFBibTeX XMLCite \textit{P. Ashwin} et al., Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 377, No. 2160, Article ID 20190042, 24 p. (2019; Zbl 1462.34058) Full Text: DOI arXiv
Kuramoto, Yoshiki; Nakao, Hiroya On the concept of dynamical reduction: the case of coupled oscillators. (English) Zbl 1462.34062 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 377, No. 2160, Article ID 20190041, 25 p. (2019). MSC: 34C15 34-02 37D10 PDFBibTeX XMLCite \textit{Y. Kuramoto} and \textit{H. Nakao}, Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 377, No. 2160, Article ID 20190041, 25 p. (2019; Zbl 1462.34062) Full Text: DOI arXiv Link
Petkoski, Spase; Jirsa, Viktor K. Transmission time delays organize the brain network synchronization. (English) Zbl 1462.92022 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 377, No. 2153, Article ID 20180132, 14 p. (2019). MSC: 92B20 PDFBibTeX XMLCite \textit{S. Petkoski} and \textit{V. K. Jirsa}, Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 377, No. 2153, Article ID 20180132, 14 p. (2019; Zbl 1462.92022) Full Text: DOI
Nikitin, D.; Omelchenko, I.; Zakharova, A.; Avetyan, M.; Fradkov, A. L.; Schöll, E. Complex partial synchronization patterns in networks of delay-coupled neurons. (English) Zbl 1462.34063 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 377, No. 2153, Article ID 20180128, 19 p. (2019). MSC: 34C15 92B20 34D06 34K26 PDFBibTeX XMLCite \textit{D. Nikitin} et al., Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 377, No. 2153, Article ID 20180128, 19 p. (2019; Zbl 1462.34063) Full Text: DOI Link
Goldbeter, Albert Dissipative structures in biological systems: bistability, oscillations, spatial patterns and waves. (English) Zbl 1404.92027 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 376, No. 2124, Article ID 20170376, 25 p. (2018). MSC: 92C15 PDFBibTeX XMLCite \textit{A. Goldbeter}, Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 376, No. 2124, Article ID 20170376, 25 p. (2018; Zbl 1404.92027) Full Text: DOI
Fradkov, Alexander L. Horizons of cybernetical physics. (English) Zbl 1404.93002 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 375, No. 2088, Article ID 20160223, 19 p. (2017). MSC: 93A30 37B40 37N35 81-03 93-03 81Q93 01A61 68M15 PDFBibTeX XMLCite \textit{A. L. Fradkov}, Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 375, No. 2088, Article ID 20160223, 19 p. (2017; Zbl 1404.93002) Full Text: DOI
Krishnagopal, Sanjukta; Lehnert, Judith; Poel, Winnie; Zakharova, Anna; Schöll, Eckehard Synchronization patterns: from network motifs to hierarchical networks. (English) Zbl 1404.34041 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 375, No. 2088, Article ID 20160216, 22 p. (2017). MSC: 34C15 34D06 92C20 37N25 PDFBibTeX XMLCite \textit{S. Krishnagopal} et al., Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 375, No. 2088, Article ID 20160216, 22 p. (2017; Zbl 1404.34041) Full Text: DOI arXiv