Final Report –Synthesis Emergent Synchronization in complex systems PN-II-ID-PCE-2011-3-0348 In the framework of the present research program we have studied several complex systems that presents emergent collective behavior. For synchronization like emergence we have considered multimode stochastic oscillators, coupled metronome and pendula type mechanical systems, quantum oscillators, in vitro cells and locally coupled Kuramoto type rotators with a small time-delay in their interactions. According to our initial plan we have considered also a generalized mathematic study based on a master-equation approach for undersatnding the characteristic distributions that appears in such systems. A philosophy study, with a monorgaphic character has been performed in order to synthesize our knowledge about the phenomnon of emergence. Beside the phenomenon of spontaneous synchronization we have studied collective behavior in a spring-block type system placed on a conveyor belt, viscous flow instabilities that can occur in relativistic heavy-ion collisions and many intriguing socio-physics and econo-physics problems. As a result of these studies we have published 13 ISI papers and 4 BDI papers. Two further papers are presently under review. The list of publications that have acknowledgment for this project are the following: ISI Publictions: 1. Sz. Horvat and Z. Neda, The complex phase-space of a two-mode oscillator model, Physica D, vol. 256, pp. 43-50 (2013) 2. Sz. Boda, Z. Neda, B. Tyukodi and A. Tunyagi, The rhythm of coupled metronomes, Eur. Phys. J. B, vol. 86, pp 263 (2013) 3. Sz. Boda, Sz. Ujvari, A. Tunyagi and Z. Neda, Kuramoto type phase transition with metronomes, European Journal of Physics, vol. 34, pp. 1451-1463 (2013) 4. D.J. Wang, Z. Neda and L.P. Csernai. Viscous potential flow analysis of peripheral heavy ion collisions, Phys. Rev. C, vol. 87, 024908 (2013) 5. B. Sandor, F. Jarai-Szabo, T. Tel and Z. Neda, Chaos on the conveyor belt, Phys. Rev. E, vol. 87, 042920 (2013) 6. Sz. Boda, L. Davidova, and Z. Neda, Order and disorder in coupled metronome systems, Eur. Phys. J. Special Topics 223, 649–663 (2014) 7. L. Davidova, Szerena Ujvari and Zoltan Neda, Sync or anti-sync - dynamical pattern selection in coupled self-sustained oscillator systems, Journal of Physics: Conference Series 510 (2014) 012009 8. L. Davidova, Sz. Boda, Z. Neda, Order-disorder transitions in a minimal model of self-sustained coupled oscillators, Romanian Reports in Physics, 66, 1018–1028, (2014) 9. Bulcsú Sándor, Zoltán Néda, A spring–block analogy for the dynamics of stock indexes, Physica A 427, 122–131, (2015) 10. F. Simini, A. Maritan and Z. Neda, Human mobility in a continuum approach, PLOS One, vol. 8, pp. e60069 (2013) 11. Levente Varga, András Kovács, Géza Tóth, István Papp, and Zoltán Néda, Further we travel the faster we go, PLOS One, vol. 11, pp. e0148913 (2016) 12 G. Mate and Z. Neda, The advantage of inhomogeneity - Lessons from a noise driven linearized dynamical system Physica A, Vol. 445, pp. 310-317 (2016), 13. Z. Neda, L. Davidova, Sz. Ujvari and G. Istrate, Gambler’s ruin problem on Erdos-Renyi graphs, Physica A, online http://dx.doi.org/10.1016/j.physa.2016.10.056 (2016) BDI publications: 1. Andras Dombi, Arthur Tunyagi and Zoltan Neda, Walkie-talkie measurements for the speed of radio waves in air, Physics Education vol. 48, pp. 80-86 (2013) 2. Katinka Bakos, András Dombi, Ferenc Járai-Szabó, and Zoltán Néda, Fragmentation of drying paint layers,

AIP Conference Proceedings 1564, 205 (2013) 3. M. Axinciuc, Emergence, Synchronization and Synchronicity Re-approaching the Concept of Complex System from a Critical Philosophical Perspective, Philobiblon, vol. XX, pp. 334-345 (2015) 4. L. Davidova, S. Borbely and Z. Neda., Collective behavior in coupled quantum mechanical oscillators, Studia UBB Physica, vol. 60, 1, pp. 91-101 (2015) 5. L. Varga, G. Toth and Z. Neda, An improved radiation model and its applicability for understanding commuting patterns in Hungary, accepted in Regional Statistics, 2016 Publications sent, but not yet accepted (ISI journals) 1. T. S. Biro and Z. Neda, Equilibrium distributions in entropy driven balanced processes submitted to Physica A, arXiv:1606.05737 2. T.S. Biro and Z. Neda, Dynamical Stationarity as a Result of Sustained Random Growth submitted to Physical Review E.