×

The spark of synchronization in heterogeneous networks of chaotic maps. (English) Zbl 07855163

MSC:

37N35 Dynamical systems in control
39A33 Chaotic behavior of solutions of difference equations

References:

[1] Milgram, S., Psychol. Today, 2, 60, 1967
[2] Barabási, A.-L.; Albert, R., Science, 286, 509, 1999 · Zbl 1226.05223 · doi:10.1126/science.286.5439.509
[3] Newman, M. E., Phys. Rev. Lett., 89, 208701, 2002 · doi:10.1103/PhysRevLett.89.208701
[4] Radicchi, F.; Castellano, C.; Cecconi, F.; Loreto, V.; Parisi, D., Proc. Natl. Acad. Sci. U.S.A., 101, 2658, 2004 · doi:10.1073/pnas.0400054101
[5] Zhou, S.; Mondragón, R. J., IEEE Commun. Lett., 8, 180, 2004 · doi:10.1109/LCOMM.2004.823426
[6] Barabasi, A.-L.; Oltvai, Z. N., Nat. Rev. Genet., 5, 101, 2004 · doi:10.1038/nrg1272
[7] Pastor-Satorras, R.; Vázquez, A.; Vespignani, A., Phys. Rev. Lett., 87, 258701, 2001 · doi:10.1103/PhysRevLett.87.258701
[8] Arenas, A.; Díaz-Guilera, A.; Kurths, J.; Moreno, Y.; Zhou, C., Phys. Rep., 469, 93, 2008 · doi:10.1016/j.physrep.2008.09.002
[9] Sarfati, R.; Joshi, K.; Martin, O.; Hayes, J. C.; Iyer-Biswas, S.; Peleg, O., eLife, 12, e78908, 2023 · doi:10.7554/eLife.78908
[10] Winfree, A. T., Science, 298, 2336, 2002 · doi:10.1126/science.1072560
[11] Strogatz, S., Sync: How Order Emerges from Chaos in the Universe, Nature, and Daily Life, 2004, Hyperion Books
[12] Rodrigues, F. A.; Peron, T. K. D.; Ji, P.; Kurths, J., Phys. Rep., 610, 1, 2016 · Zbl 1357.34089 · doi:10.1016/j.physrep.2015.10.008
[13] Kuramoto, Y., Chemical Oscillations, Waves, and Turbulence, Dover Books on Chemistry Series (Dover Publications, Incorporated, 2013), ISBN 9780486788593. · Zbl 0558.76051
[14] Lee, D.-S., Phys. Rev. E, 72, 026208, 2005 · doi:10.1103/PhysRevE.72.026208
[15] Ichinomiya, T., Phys. Rev. E, 70, 026116, 2004 · doi:10.1103/PhysRevE.70.026116
[16] Gómez-Gardeñes, J.; Moreno, Y.; Arenas, A., Phys. Rev. E, 75, 066106, 2007 · doi:10.1103/PhysRevE.75.066106
[17] Baek, S.-J.; Ott, E., Phys. Rev. E, 69, 066210, 2004 · doi:10.1103/PhysRevE.69.066210
[18] Viana, R.; Grebogi, C.; Pinto, S. de S.; Lopes, S.; Batista, A.; Kurths, J., Physica D, 206, 94, 2005 · Zbl 1099.37511 · doi:10.1016/j.physd.2005.05.001
[19] Pereira, T.; Strien, S.; Tanzi, M., J. Eur. Math. Soc., 22, 2183-2252, 2017 · Zbl 1462.37085 · doi:10.4171/JEMS/963
[20] Corder, R. M.; Bian, Z.; Pereira, T.; Montalbán, A., Chaos, 33, 091103, 2023 · Zbl 07861857 · doi:10.1063/5.0169628
[21] Komarov, M.; Pikovsky, A., Phys. Rev. E, 92, 020901, 2015 · doi:10.1103/PhysRevE.92.020901
[22] Ottino-Löffler, B.; Strogatz, S. H., Phys. Rev. Lett., 120, 264102, 2018 · doi:10.1103/PhysRevLett.120.264102
[23] Mendonca, H. M.; Tönjes, R.; Pereira, T., Entropy, 25, 983, 2023 · doi:10.3390/e25070983
[24] Liang, H.; Cvitanović, P., J. Phys. A: Math. Theor., 55, 304002, 2022 · Zbl 1507.81099 · doi:10.1088/1751-8121/ac76f8
[25] Stankovski, T.; Pereira, T.; McClintock, P. V. E.; Stefanovska, A., Rev. Mod. Phys., 89, 045001, 2017 · doi:10.1103/RevModPhys.89.045001
[26] Restrepo, J. G.; Ott, E.; Hunt, B. R., Phys. Rev. Lett., 96, 254103, 2006 · doi:10.1103/PhysRevLett.96.254103
[27] Iaccarino, H. F.; Singer, A. C.; Martorell, A. J.; Rudenko, A.; Gao, F.; Gillingham, T. Z.; Mathys, H.; Seo, J.; Kritskiy, O.; Abdurrob, F., Nature, 540, 230, 2016 · doi:10.1038/nature20587
[28] Martorell, A.; Paulson, A.; Suk, H.-J.; Abdurrob, F.; Drummond, G.; Guan, W.; Young, J.; Kim, D.; Kritskiy, O.; Barker, S., Cell, 177, 256, 2019 · doi:10.1016/j.cell.2019.02.014
[29] Motter, A. E.; Myers, S. A.; Anghel, M.; Nishikawa, T., Nat. Phys., 9, 191, 2013 · doi:10.1038/nphys2535
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.