Citation: | WANG Qingyun, ZHUANG Honghui. ADVANCES OF SYNHRONIZATION TRANSITION IN NUERONAL NETWORKS[J]. Advances in Mechanics, 2013, 43(1): 149-162. doi: 10.6052/1000-0992-12-023 |
1 Gray C M, Konig P, Engel A K, et al. Oscillatory responses in cat visual cortex exhibit inter-columnar synchronization which reflects global stimulus properties. Nature, 1989, 338: 334-337
|
2 Steinmeta P N, Roy A, Fitzgerald P J, et al. Attention modulates synchronized neuronal firing in primate somatosensory cortex. Nature, 2000, 404: 187-190
|
3 Fell J, Fernandez G, Klaver P, et al. Is synchronized neuronal gamma activity relevant for selective attentions. Brain Research Reviews, 2003, 42: 265-272
|
4 Bahar S, Moss F. Stochastic resonance and synchronization in the crayfish caudal photoreceptor. Biosciences,2004, 188: 81-97
|
5 Terman D, Kopell N, Bose A. Dynamics of two mutually coupled slow inhibitory neurons. Physica D, 1998, 117(1):241-275
|
6 Rubin J, Terman D. Geometric analysis of neuronal firing patterns in network models with fast inhibitory synapses. Neurocomputing, 1999, 26-27: 491-498
|
7 Terman D, Ahn S, Wang X Y, et al. Reducing neuronal networks to discrete dynamics. Physica D, 2008, 237: 324-338
|
8 Yoshioka M. Cluster synchronization in an ensemble of neurons interacting through chemical synapses. Phys. Rev. E, 2005, 71: 061914
|
9 Shi X, Lu Q S. Complete synchronization of coupled Hindmarsh-Rose neurons with ring structure. Chin. Phys. Lett., 2004, 21: 1695-1698
|
10 Wang Q Y, Lu Q S, Chen G R, et al. Chaos synchronization of coupled neurons with gap junctions. Phys. Lett. A, 2006, 356: 17-25
|
11 Wang Q Y, Duan Z S, Huang L, et al. Pattern formation and firing synchronization in networks of map neurons. New J. Phys, 2007, 9(383): 1-11
|
12 Belykh I, de Lange E, Hasler M. Synchronization of bursting neurons: What matters in the network topology. Phys. Rev. Lett., 2005, 94:188101
|
13 Kopell N, Ermentrout B. Chemical and electrical synapses perform complementary roles in the synchronization of interneuronal networks. Proc. Natl. Acad. Sci. USA,2004, 101: 15482-15487
|
14 Kwon O, Moon H T. Coherence resonance in small-world networks of excitable cells. Phys. Lett. A, 2002, 298:319-324
|
15 Wang Q Y, Duan Z S, Perc M, et al. Synchronization transitions on small-world neuronal networks: Effects of information transmission delay and rewiring probability. Europhys. Lett., 2008, 83: 50008
|
16 Tanakaa G, Ibarz B, Sanjuan MAF, et al. Synchronization and propagation of bursts in networks of coupled map neurons. Chaos, 2006, 16: 013113
|
17 Zhou C S, Zemanov L, Zamora G, et al. Hierarchical organization unveiled by functional connectivity in complex brain networks. Phys. Rev. Lett., 2006, 97: 238103
|
18 Leyva I, Sendi?na-Nadal I, Almendral JA, et al. Sparse repulsive coupling enhances synchronization in complex networks. Phys Rev E, 2006, 74: 056112
|
19 Wang R B, Zhang Z K. Phase synchronization motion and neural coding in dynamic transmission of neural information. IEEE Transactions on Neural Networks, 2011,22(7): 1097-1106
|
20 Wang R B, Zhang Z K, Tee C K. Neurodynamics analysis on transmission of brain information. Applied Mathematics and Mechanics, 2009, 30(11): 1415-1428
|
21 Wang R B, Jiao X F. A stochastic nonlinear evolution model and neural coding on neuronal population possessing variable coupling intensity in spontaneous behavior. Neurocomputing, 2006, (7-9): 778-785
|
22 陆启韶, 刘深泉, 刘锋, 等. 生物神经网络系统动力学与功能 研究. 力学进展, 2008, 38(6): 766-793.
|
23 Dhamala M, Jirsa V K, Ding M Z. Transitions to synchrony in coupled bursting neurons. Phys. Rev. Lett.,2004, 92 : 02810
|
24 Wang Q Y, Duan Z S, Feng Z S, et al. Synchronization transition in gap-junction-coupled leech neurons. Physica A, 2008, 387 (16-17): 4404-4410
|
25 Wang Q Y, Lu Q S, Chen G R. Ordered bursting synchronization and complex wave propagation in a ring neuronal network. Physica A, 2007, 374: 869-878
|
26 Shen Y, Hou Z H, Xin H W. Transition to burst synchronization in coupled neuron networks. Phys Rev E, 2008,77: 031920
|
27 Sun X J, Lei J Z, Perc M, et al. Burst synchronization transitions in a neuronal network of subnetworks. Chaos,2011, 21: 016110
|
28 Dhamala M, Jirsa V K, Ding M Z. Enhancement of neural synchrony by time delay. Phys. Rev. Lett., 2004, 92:074104
|
29 Wang Q Y, Lu Q S. Time-delay enhanced synchronization and regularization in two coupled chaotic ML neurons. Chin. Phys. Lett., 2005, 22: 543-546
|
30 Wang Q Y, Lu Q S, Chen G R. Synchronization transition induced by synaptic delay in coupled fast spiking neurons. International Journal of Bifurcation and Chaos, 2008,18(4): 1189-1198
|
31 Wang Q Y, Chen G R, Perc M. Synchronous bursts on scale-Free neuronal networks with attractive and repulsive coupling. PLoS ONE, 2011, 6(1): e15851
|
32 Wang Q Y, Chen G R. Delay-induced intermittent transition of synchronization in neuronal networks with hybrid synapses. Chaos, 2011, 21(1): 013123
|
33 Wang Q Y, Lu Q S, Chen G R, et al. Bifurcation and synchronization of synaptically coupled FHN models with time delay. Chaos, Solitons & Fractals, 2009, 39(2): 918-925
|
34 Adhikari B M, Prasad A. Time-delay-induced phasetransition to synchrony in coupled bursting neurons. Chaos, 2011, 21: 023116
|
35 Mancilla J G, Lewis T J, Pinto D J, et al. Synchronization of electrically coupled pairs of inhibitory interneurons in neocortex. J Neurosci, 2007, 27: 2058-2073
|
36 Gibson J R, Beierlein M, Connors B W. Two networks of electrically coupled inhibitory neurons in neocortex. Journal of Computational Neuroscience, 2005, 18: 287-295
|
37 Gao J, Holmes P. On the dynamics of electrically-coupled neurons with inhibitory synapses. Journal of Computational Neuroscience, 2007, 22: 39-61
|
38 Verheijck E E, Wilders R, Joyner R W, et al. Pacemaker synchronization of electrically coupled rabbit sinoatrial node cells. J Gen Physiol., 1998, 111(1): 95-112
|
39 Audesirk G, Audesirk T, Bowsher P. Variability and frequent failure of Lucifer yellow to pass between two electrically coupled neurons in Lymnaea stagnalis. Journal of Neurobiology, 1982, 13(4): 369-375
|
40 Venance L, Rozov A. Connexin expression in electrically coupled postnatal rat brain neurons. PNAS, 2000, 97 (18): 10261-10265
|
41 Wang Q Y, Lu Q S, Wang H X. Transition to complete synchronization via near-synchronization in two coupled chaotic neurons. Chinese Physics, 2005, 14: 2189-2195
|
42 Balenzuela P, García-Ojalvo J. Role of chemical synapses in coupled neurons with noise. Physical Review E, 2005,72: 021901
|
43 Lang M, Marquez-Lago TT, Stelling J, et al. Autonomous synchronization of chemically coupled synthetic oscillators. Bull Math Biol, 2011, 73(11): 2678-706
|
44 Franovic I, Miljkovic V. Power law behavior related to mutual synchronization of chemically coupled map neurons. Eur. Phys. J. B, 2010, 76: 613-624
|
45 Shi X, Lu Q S. Burst synchronization of electrically and chemically coupled map-based neurons. Physica A, 2009,388: 2410-2419
|
46 Lysetskiy M, Zurada J M. Bifurcating neuron: Computation and learning. Neural Networks, 2004, 17: 225-232
|
47 Wang Q Y, Sanjuan Miguel AF, Chen G R. Transition of phase locking modes in a minimal neuronal network. Neurocomputing, 2012, 81: 60-66
|
48 Sato Y D, Okumura K, Ichiki A, et al. Temperaturemodulated synchronization transition in coupled neuronal oscillators. Physical Review E, 2012, 85: 031910
|
49 Yin H B, Cox C L, Mehta P G, et al. Bifurcation analysis of a thalamic relay neuron model. In: Proc. American Control Conference, St. Louis, MO, USA, 2009
|
50 Tsumoto K, Yoshinaga T, Kawakami H. Bifurcations of synchronized responses in synaptically coupled Bonhoffervan der Pol neurons. Physical Review E, 2002, 65: 036230
|
51 Wang H X, Lu Q S, Wang Q Y. Bursting and synchronization transition in the coupled modified ML neurons. Communications in Nonlinear Science and Numerical Simulation, 2008, 13: 1668-1675
|
52 Postnova S, Voigt K, Braun H A. Neural synchronization at tonic-to-bursting transitions. J Biol Phys, 2007,33:129-143
|
53 Yu H, Wang J, Liu Q, et al. Chaotic phase synchronization in a modular neuronal network of small-world subnetworks. Chaos, 2011, 21(4): 043125
|
54 Yassin L, Benedetti Brett L. An embedded subnetwork of highly active neurons in the neocortex. Neuron, 2010, 68:1043-1050
|
55 Tang J, Ma J, Yi M, et al. Delay and diversity-induced synchronization transitions in a small-world neuronal network. Physical Review E, 2011, 83: 046207
|
56 Wang Q Y, Aleksandra M, Perc M, et al. Taming desynchronized bursting with delays in the Macaque cortical network. Chin. Phys. B, 2011, 20 (4): 040504
|
57 Cui J, Canavier C C, Butera R J. Functional phase response curves: A method for understanding synchronization of adapting neurons. Journal of Neurophysiology, 2009, 102(1), 387-398
|
58 Galan R F, Ermentrout, G B, Urban N N. Efficient estimation of phase-resetting curves in real neurons and its significance for neural-network modeling. Physical Review Letters, 2005, 94(15), 158101
|
59 Galan R F, Bard Ermentrout G, Urban N N. Predicting synchronized neural assemblies from experimentally estimated phase-resetting curves. Neurocomputing, 2006,69(10-12): 1112-1115
|
60 Winfree A T. The Geometry of Biological Time. New York: Springer Verlag, 1980, 530
|
61 Canavier C C, Gurel Kazanci F, Prinz A A. Phase resetting curves allow for simple and accurate prediction of robust N:1 phase locking for strongly coupled neural oscillators. Biophys. J., 2009, 97: 59-73
|
62 Canavier C C. The application of phase resetting curves to the analysis of pattern generating circuits containing bursting neurons. In: Coombes S, Bressloff P, eds. Bursting: The Genesis of Rhythm in the Nervous System. Singapore: World Scienti c, 2005. 175-200
|
63 Smeal R M, Ermentrout G B, White J A. Phase-response curves and synchronized neural networks. Philosophical Transactions of the Royal Society B-Biological Sciences,2010, 365(1551): 2407-2422
|