52
B. Pietras and A. Daffertshofer
9. D.S. Bassett, O. Sporns, Network neuroscience. Nat. Neurosci. 20(3), 353 (2017)
10. D.S. Bassett, P. Zurn, J.I. Gold, On the nature and use of models in network neuroscience. Nat.
Rev. Neurosci. 19(9), 566 (2018)
11. S. Boccaletti, V. Latora, Y. Moreno, M. Chavez, D.U. Hwang, Complex networks: structure
and dynamics. Phys. Rep. 424(4–5), 175 (2006)
12. S. Boccaletti, J. Almendral, S. Guan, I. Leyva, Z. Liu, I. Sendiña-Nadal, Z. Wang, Y. Zou,
Explosive transitions in complex networks’ structure and dynamics: percolation and synchronization. Phys. Rep. 660, 1 (2016)
13. N.N. Bogoliubov, I.A. Mitropol’skii, Y.A. Mitropolsky, Asymptotic Methods in the Theory of
Non-Linear Oscillations, vol. 10 (CRC Press, 1961)
14. R.M. Borisyuk, A.B. Kirillov, Bifurcation analysis of a neural network model. Biol. Cybern.
66(4), 319 (1992)
15. M. Breakspear, Dynamic models of large-scale brain activity. Nat. Neurosci. 20(3), 340 (2017)
16. E. Brown, J. Moehlis, P. Holmes, On the phase reduction and response dynamics of neural
oscillator populations. Neural Comput. 16(4), 673 (2004)
17. G. Buzsáki, Rhythms of the Brain (Oxford University Press, Oxford, 2006)
18. G. Buzsáki, A. Draguhn, Neuronal oscillations in cortical networks. Science 304(5679), 1926
(2004)
19. O. Castejón, A. Guillamon, G. Huguet, Phase-amplitude response functions for transient-state
stimuli. J. Math. Neurosci. 3(1), 13 (2013)
20. P. Clusella, A. Politi, M. Rosenblum, A minimal model of self-consistent partial synchrony.
New J. Phys. 18(9), 093037 (2016)
21. A. Daffertshofer, R. Ton, B. Pietras, M.L. Kringelbach, G. Deco, Scale-freeness or partial
synchronization in neural mass phase oscillator networks: pick one of two? NeuroImage (2018)
22. A. Daffertshofer, B. Pietras, Phase synchronization in neural systems, in Encyclopedia of
Complexity and Systems Science, ed. by R.A. Meyers (Springer, Berlin Heidelberg, 2020), pp.
1–14
23. A. Daffertshofer, B. van Wijk, On the influence of amplitude on the connectivity between
phases. Front. Neuroinformatics 5, 6 (2011)
24. G. Deco, V.K. Jirsa, A.R. McIntosh, Emerging concepts for the dynamical organization of
resting-state activity in the brain. Nat. Rev. Neurosci. 12(1), 43 (2011)
25. R. Delabays, P. Jacquod, F. Dörfler, The Kuramoto model on oriented and signed graphs. SIAM
J. Appl. Dyn. Syst. 18(1), 458 (2019)
26. A. Dhooge, W. Govaerts, Y.A. Kuznetsov, H.G. Meijer, B. Sautois, New features of the software
MatCont for bifurcation analysis of dynamical systems. Math. Comput. Model. Dyn. Syst.
14(2), 147 (2008)
27. S.N. Dorogovtsev, A.V. Goltsev, J.F. Mendes, Critical phenomena in complex networks. Rev.
Mod. Phys. 80(4), 1275 (2008)
28. B. Ermentrout, Simulating, Analyzing, and Animating Dynamical Systems: A Guide to XPPAUT
for Researchers and Students (SIAM, 2002)
29. G.B. Ermentrout, N. Kopell, Frequency plateaus in a chain of weakly coupled oscillators, I.
SIAM J. Math. Anal. 15(2), 215 (1984)
30. G. Ermentrout, N. Kopell, Oscillator death in systems of coupled neural oscillators. SIAM J.
Appl. Math. 50(1), 125 (1990)
31. G.B. Ermentrout, N. Kopell, Multiple pulse interactions and averaging in systems of coupled
neural oscillators. J. Math. Biol. 29(3), 195 (1991)
32. G.B. Ermentrout, D.H. Terman, Mathematical Foundations of Neuroscience, vol. 35 (Springer,
New York, 2010)
33. H. Finger, R. Gast, C. Gerloff, A.K. Engel, P. König, Probing neural networks for dynamic
switches of communication pathways. PLoS Comput. Biol. 15(12), 1 (2019)
34. L.V. Gambuzza, A. Cardillo, A. Fiasconaro, L. Fortuna, J. Gómez-Gardeñes, M. Frasca, Analysis of remote synchronization in complex networks. Chaos 23(4), 043103 (2013)
35. S. Gherardini, S. Gupta, S. Ruffo, Spontaneous synchronisation and nonequilibrium statistical
mechanics of coupled phase oscillators. Contemp. Phys. 59(3), 229 (2018)
B. Pietras and A. Daffertshofer
9. D.S. Bassett, O. Sporns, Network neuroscience. Nat. Neurosci. 20(3), 353 (2017)
10. D.S. Bassett, P. Zurn, J.I. Gold, On the nature and use of models in network neuroscience. Nat.
Rev. Neurosci. 19(9), 566 (2018)
11. S. Boccaletti, V. Latora, Y. Moreno, M. Chavez, D.U. Hwang, Complex networks: structure
and dynamics. Phys. Rep. 424(4–5), 175 (2006)
12. S. Boccaletti, J. Almendral, S. Guan, I. Leyva, Z. Liu, I. Sendiña-Nadal, Z. Wang, Y. Zou,
Explosive transitions in complex networks’ structure and dynamics: percolation and synchronization. Phys. Rep. 660, 1 (2016)
13. N.N. Bogoliubov, I.A. Mitropol’skii, Y.A. Mitropolsky, Asymptotic Methods in the Theory of
Non-Linear Oscillations, vol. 10 (CRC Press, 1961)
14. R.M. Borisyuk, A.B. Kirillov, Bifurcation analysis of a neural network model. Biol. Cybern.
66(4), 319 (1992)
15. M. Breakspear, Dynamic models of large-scale brain activity. Nat. Neurosci. 20(3), 340 (2017)
16. E. Brown, J. Moehlis, P. Holmes, On the phase reduction and response dynamics of neural
oscillator populations. Neural Comput. 16(4), 673 (2004)
17. G. Buzsáki, Rhythms of the Brain (Oxford University Press, Oxford, 2006)
18. G. Buzsáki, A. Draguhn, Neuronal oscillations in cortical networks. Science 304(5679), 1926
(2004)
19. O. Castejón, A. Guillamon, G. Huguet, Phase-amplitude response functions for transient-state
stimuli. J. Math. Neurosci. 3(1), 13 (2013)
20. P. Clusella, A. Politi, M. Rosenblum, A minimal model of self-consistent partial synchrony.
New J. Phys. 18(9), 093037 (2016)
21. A. Daffertshofer, R. Ton, B. Pietras, M.L. Kringelbach, G. Deco, Scale-freeness or partial
synchronization in neural mass phase oscillator networks: pick one of two? NeuroImage (2018)
22. A. Daffertshofer, B. Pietras, Phase synchronization in neural systems, in Encyclopedia of
Complexity and Systems Science, ed. by R.A. Meyers (Springer, Berlin Heidelberg, 2020), pp.
1–14
23. A. Daffertshofer, B. van Wijk, On the influence of amplitude on the connectivity between
phases. Front. Neuroinformatics 5, 6 (2011)
24. G. Deco, V.K. Jirsa, A.R. McIntosh, Emerging concepts for the dynamical organization of
resting-state activity in the brain. Nat. Rev. Neurosci. 12(1), 43 (2011)
25. R. Delabays, P. Jacquod, F. Dörfler, The Kuramoto model on oriented and signed graphs. SIAM
J. Appl. Dyn. Syst. 18(1), 458 (2019)
26. A. Dhooge, W. Govaerts, Y.A. Kuznetsov, H.G. Meijer, B. Sautois, New features of the software
MatCont for bifurcation analysis of dynamical systems. Math. Comput. Model. Dyn. Syst.
14(2), 147 (2008)
27. S.N. Dorogovtsev, A.V. Goltsev, J.F. Mendes, Critical phenomena in complex networks. Rev.
Mod. Phys. 80(4), 1275 (2008)
28. B. Ermentrout, Simulating, Analyzing, and Animating Dynamical Systems: A Guide to XPPAUT
for Researchers and Students (SIAM, 2002)
29. G.B. Ermentrout, N. Kopell, Frequency plateaus in a chain of weakly coupled oscillators, I.
SIAM J. Math. Anal. 15(2), 215 (1984)
30. G. Ermentrout, N. Kopell, Oscillator death in systems of coupled neural oscillators. SIAM J.
Appl. Math. 50(1), 125 (1990)
31. G.B. Ermentrout, N. Kopell, Multiple pulse interactions and averaging in systems of coupled
neural oscillators. J. Math. Biol. 29(3), 195 (1991)
32. G.B. Ermentrout, D.H. Terman, Mathematical Foundations of Neuroscience, vol. 35 (Springer,
New York, 2010)
33. H. Finger, R. Gast, C. Gerloff, A.K. Engel, P. König, Probing neural networks for dynamic
switches of communication pathways. PLoS Comput. Biol. 15(12), 1 (2019)
34. L.V. Gambuzza, A. Cardillo, A. Fiasconaro, L. Fortuna, J. Gómez-Gardeñes, M. Frasca, Analysis of remote synchronization in complex networks. Chaos 23(4), 043103 (2013)
35. S. Gherardini, S. Gupta, S. Ruffo, Spontaneous synchronisation and nonequilibrium statistical
mechanics of coupled phase oscillators. Contemp. Phys. 59(3), 229 (2018)