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Volumn 72, Issue 1-2, 2013, Pages 79-86

Multiple synchronization transitions due to periodic coupling strength in delayed Newman-Watts networks of chaotic bursting neurons

Author keywords

Neurons; Newman Watts network; Synchronization transition; Time delay; Time periodic coupling strength

Indexed keywords

ANTI-PHASE SYNCHRONIZATION; CHAOTIC BURSTING; COUPLING STRENGTHS; FIXED COUPLINGS; NEURAL SYSTEMS; NEURONAL NETWORKS; SYNCHRONIZATION TRANSITIONS; TIME-PERIODIC COUPLING STRENGTHS;

EID: 84875670619     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-012-0691-9     Document Type: Article
Times cited : (25)

References (48)
  • 1
    • 0027481223 scopus 로고
    • Synchronization of cortical activity and its putative role in information processing and learning
    • 10.1146/annurev.ph.55.030193.002025
    • Singer, W.: Synchronization of cortical activity and its putative role in information processing and learning. Annu. Rev. Physiol. 55, 349-374 (1993)
    • (1993) Annu. Rev. Physiol. , vol.55 , pp. 349-374
    • Singer, W.1
  • 2
    • 0032867376 scopus 로고    scopus 로고
    • The temporal correlation hypothesis of visual feature integration: Still alive and well
    • 10.1016/S0896-6273(00)80820-X
    • Gray, C.M.: The temporal correlation hypothesis of visual feature integration: still alive and well. Neuron 24, 31-47 (1999)
    • (1999) Neuron , vol.24 , pp. 31-47
    • Gray, C.M.1
  • 4
    • 0034667626 scopus 로고    scopus 로고
    • High-frequency synchronization of neuronal activity in the sub-thalamic nucleus of Parkinsonian patients with limb tremor
    • Levy, R., Hutchison, W.D., Lozano, A.M., Dostrovsky, J.O.: High-frequency synchronization of neuronal activity in the sub-thalamic nucleus of Parkinsonian patients with limb tremor. J. Neurosci. 20, 7766-7775 (2000)
    • (2000) J. Neurosci. , vol.20 , pp. 7766-7775
    • Levy, R.1    Hutchison, W.D.2    Lozano, A.M.3    Dostrovsky, J.O.4
  • 5
  • 7
    • 54749112709 scopus 로고    scopus 로고
    • Introduction to focus issue: Synchronization in complex networks
    • 037101 10.1063/1.2985139
    • Suykens, J.A.K., Osipov, G.V.: Introduction to focus issue: synchronization in complex networks. Chaos 18, 037101 (2008)
    • (2008) Chaos , vol.18
    • Suykens, J.A.K.1    Osipov, G.V.2
  • 8
    • 0037360205 scopus 로고    scopus 로고
    • Noise-induced synchronization and coherence resonance of a Hodgkin-Huxley model of thermally sensitive neurons
    • 10.1063/1.1493096
    • Zhou, C.S., Kurths, J.: Noise-induced synchronization and coherence resonance of a Hodgkin-Huxley model of thermally sensitive neurons. Chaos 13, 401-409 (2003)
    • (2003) Chaos , vol.13 , pp. 401-409
    • Zhou, C.S.1    Kurths, J.2
  • 9
    • 4944245397 scopus 로고    scopus 로고
    • Synchronization of regular and chaotic oscillations: The role of local divergence and the slow passage effect
    • 2092977 1065.92015 10.1142/S0218127404010849
    • Perc, M., Marhl, M.: Synchronization of regular and chaotic oscillations: the role of local divergence and the slow passage effect. Int. J. Bifurc. Chaos 14, 2735-2751 (2004)
    • (2004) Int. J. Bifurc. Chaos , vol.14 , pp. 2735-2751
    • Perc, M.1    Marhl, M.2
  • 10
    • 33751079388 scopus 로고    scopus 로고
    • Ordered bursting synchronization and complex wave propagation in a ring neuronal network
    • 10.1016/j.physa.2006.08.062
    • Wang, Q.Y., Lu, Q.S., Chen, G.R.: Ordered bursting synchronization and complex wave propagation in a ring neuronal network. Physica A 374, 869-878 (2007)
    • (2007) Physica A , vol.374 , pp. 869-878
    • Wang, Q.Y.1    Lu, Q.S.2    Chen, G.R.3
  • 11
    • 44849129508 scopus 로고    scopus 로고
    • Bursting regimes in map-based neuron models coupled through fast threshold modulation
    • 051918 2495488 10.1103/PhysRevE.77.051918
    • Ibarz, B., Cao, H.J., Sanjuán, M.A.F.: Bursting regimes in map-based neuron models coupled through fast threshold modulation. Phys. Rev. E 77, 051918 (2008)
    • (2008) Phys. Rev. e , vol.77
    • Ibarz, B.1    Cao, H.J.2    Sanjuán, M.A.F.3
  • 12
    • 79051470765 scopus 로고    scopus 로고
    • Subthreshold stimulus-aided temporal order and synchronization in a square lattice noisy neuronal network
    • 10.1209/0295-5075/77/10004
    • Wang, Q.Y., Lu, Q.S., Chen, G.R.: Subthreshold stimulus-aided temporal order and synchronization in a square lattice noisy neuronal network. Europhys. Lett. 77, 10004 (2007)
    • (2007) Europhys. Lett. , vol.77 , pp. 10004
    • Wang, Q.Y.1    Lu, Q.S.2    Chen, G.R.3
  • 13
    • 62549135296 scopus 로고    scopus 로고
    • Optimal spatial synchronization on scale-free networks via noisy chemical synapses
    • 10.1016/j.bpc.2009.01.012
    • Perc, M.: Optimal spatial synchronization on scale-free networks via noisy chemical synapses. Biophys. Chem. 141, 175-179 (2009)
    • (2009) Biophys. Chem. , vol.141 , pp. 175-179
    • Perc, M.1
  • 14
    • 12344281164 scopus 로고    scopus 로고
    • Burst-enhanced synchronization in an array of noisy coupled neurons
    • 10.1142/S0219477504001690
    • Bahar, S.: Burst-enhanced synchronization in an array of noisy coupled neurons. Fluct. Noise Lett. 4, L87-L96 (2004)
    • (2004) Fluct. Noise Lett. , vol.4
    • Bahar, S.1
  • 15
    • 27944443319 scopus 로고    scopus 로고
    • Chaos synchronization in gap-junction-coupled neurons
    • 065203 2198041 10.1103/PhysRevE.71.065203
    • Yoshioka, M.: Chaos synchronization in gap-junction-coupled neurons. Phys. Rev. E 71, 065203 (2005)
    • (2005) Phys. Rev. e , vol.71
    • Yoshioka, M.1
  • 16
    • 28844475140 scopus 로고    scopus 로고
    • Synchronizations in small-world networks of spiking neurons: Diffusive versus sigmoid couplings
    • 056139 2198312 10.1103/PhysRevE.72.056139
    • Hasegawa, H.: Synchronizations in small-world networks of spiking neurons: diffusive versus sigmoid couplings. Phys. Rev. E 72, 056139 (2005)
    • (2005) Phys. Rev. e , vol.72
    • Hasegawa, H.1
  • 17
    • 33646353672 scopus 로고    scopus 로고
    • Ordering spatiotemporal chaos in complex thermosensitive neuron networks
    • 046137 10.1103/PhysRevE.73.046137
    • Gong, Y.B., Xu, B., Xu, Q., Yang, C.L., Ren, T.Q., Hou, Z.H., Xin, H.W.: Ordering spatiotemporal chaos in complex thermosensitive neuron networks. Phys. Rev. E 73, 046137 (2006)
    • (2006) Phys. Rev. e , vol.73
    • Gong, Y.B.1    Xu, B.2    Xu, Q.3    Yang, C.L.4    Ren, T.Q.5    Hou, Z.H.6    Xin, H.W.7
  • 18
    • 79051469971 scopus 로고    scopus 로고
    • Ordering spatiotemporal chaos in discrete neural networks with small-world connections
    • 10.1209/0295-5075/78/68004
    • Wei, D.Q., Luo, X.S.: Ordering spatiotemporal chaos in discrete neural networks with small-world connections. Europhys. Lett. 78, 68004 (2007)
    • (2007) Europhys. Lett. , vol.78 , pp. 68004
    • Wei, D.Q.1    Luo, X.S.2
  • 19
    • 41649115984 scopus 로고    scopus 로고
    • Spatiotemporal patterns and chaotic burst synchronization in a small-world neuronal network
    • 10.1016/j.physa.2008.02.039
    • Zheng, Y.H., Lu, Q.S.: Spatiotemporal patterns and chaotic burst synchronization in a small-world neuronal network. Physica A 387, 3719-3728 (2008)
    • (2008) Physica A , vol.387 , pp. 3719-3728
    • Zheng, Y.H.1    Lu, Q.S.2
  • 20
    • 41549144420 scopus 로고    scopus 로고
    • Transition to burst synchronization in coupled neuron networks
    • 031920 10.1103/PhysRevE.77.031920
    • Shen, Y., Hou, Z.H., Xin, H.W.: Transition to burst synchronization in coupled neuron networks. Phys. Rev. E 77, 031920 (2008)
    • (2008) Phys. Rev. e , vol.77
    • Shen, Y.1    Hou, Z.H.2    Xin, H.W.3
  • 21
    • 40149084958 scopus 로고    scopus 로고
    • Neural synchronization at tonic-to-bursting transitions
    • 10.1007/s10867-007-9048-x
    • Postnova, S., Voigt, K., Braun, H.A.: Neural synchronization at tonic-to-bursting transitions. J. Biol. Phys. 33, 129-143 (2007)
    • (2007) J. Biol. Phys. , vol.33 , pp. 129-143
    • Postnova, S.1    Voigt, K.2    Braun, H.A.3
  • 22
    • 79953288977 scopus 로고    scopus 로고
    • Burst synchronization transitions in a neuronal network of subnetworks
    • 016110 10.1063/1.3559136
    • Sun, X.J., Lei, J.Z., Perc, M., Kurths, J., Chen, G.R.: Burst synchronization transitions in a neuronal network of subnetworks. Chaos 21, 016110 (2011)
    • (2011) Chaos , vol.21
    • Sun, X.J.1    Lei, J.Z.2    Perc, M.3    Kurths, J.4    Chen, G.R.5
  • 24
    • 1542400571 scopus 로고    scopus 로고
    • Enhancement of neural synchrony by time delay
    • 074104 10.1103/PhysRevLett.92.074104
    • Dhamala, M., Jirsa, V.K., Ding, M.Z.: Enhancement of neural synchrony by time delay. Phys. Rev. Lett. 92, 074104 (2004)
    • (2004) Phys. Rev. Lett. , vol.92
    • Dhamala, M.1    Jirsa, V.K.2    Ding, M.Z.3
  • 25
    • 79959934462 scopus 로고    scopus 로고
    • Time-delay-induced phase-transition to synchrony in coupled bursting neurons
    • 023116 2849964 10.1063/1.3584822
    • Adhikari, B., Prasad, A., Dhamala, M.: Time-delay-induced phase-transition to synchrony in coupled bursting neurons. Chaos 21, 023116 (2011)
    • (2011) Chaos , vol.21
    • Adhikari, B.1    Prasad, A.2    Dhamala, M.3
  • 26
    • 27944455581 scopus 로고    scopus 로고
    • Stability of synchronous oscillations in a system of Hodgkin-Huxley neurons with delayed diffusive and pulsed coupling
    • 061904 2169006 10.1103/PhysRevE.71.061904
    • Rossoni, E., Chen, Y.H., Ding, M.Z., Feng, J.F.: Stability of synchronous oscillations in a system of Hodgkin-Huxley neurons with delayed diffusive and pulsed coupling. Phys. Rev. E 71, 061904 (2005)
    • (2005) Phys. Rev. e , vol.71
    • Rossoni, E.1    Chen, Y.H.2    Ding, M.Z.3    Feng, J.F.4
  • 27
    • 51849156441 scopus 로고    scopus 로고
    • Synchronization of bursting neurons with delayed chemical synapses
    • 036211 10.1103/PhysRevE.78.036211
    • Burić, N., Todorović, K., Vasović, N.: Synchronization of bursting neurons with delayed chemical synapses. Phys. Rev. E 78, 036211 (2008)
    • (2008) Phys. Rev. e , vol.78
    • Burić, N.1    Todorović, K.2    Vasović, N.3
  • 28
    • 36048984950 scopus 로고    scopus 로고
    • Effects of axonal time delay on synchronization and wave formation in sparsely coupled neuronal oscillators
    • 056206 2495370 10.1103/PhysRevE.76.056206
    • Ko, T.-W., Ermentrout, G.B.: Effects of axonal time delay on synchronization and wave formation in sparsely coupled neuronal oscillators. Phys. Rev. E 76, 056206 (2007)
    • (2007) Phys. Rev. e , vol.76
    • Ko, T.-W.1    Ermentrout, G.B.2
  • 29
    • 27744439912 scopus 로고    scopus 로고
    • Role of delays in shaping spatiotemporal dynamics of neuronal activity in large networks
    • 238103 10.1103/PhysRevLett.94.238103
    • Roxin, A., Brunel, N., Hansel, D.: Role of delays in shaping spatiotemporal dynamics of neuronal activity in large networks. Phys. Rev. Lett. 94, 238103 (2005)
    • (2005) Phys. Rev. Lett. , vol.94
    • Roxin, A.1    Brunel, N.2    Hansel, D.3
  • 30
    • 67651083619 scopus 로고    scopus 로고
    • Delay-induced multiple stochastic resonances on scale-free neuronal networks
    • 023112 10.1063/1.3133126
    • Wang, Q.Y., Perc, M., Duan, Z.S., Chen, G.R.: Delay-induced multiple stochastic resonances on scale-free neuronal networks. Chaos 19, 023112 (2009)
    • (2009) Chaos , vol.19
    • Wang, Q.Y.1    Perc, M.2    Duan, Z.S.3    Chen, G.R.4
  • 31
    • 48449088106 scopus 로고    scopus 로고
    • Delay-enhanced coherence of spiral waves in noisy Hodgkin-Huxley neuronal networks
    • 1223.92002 10.1016/j.physleta.2008.07.005
    • Wang, Q.Y., Perc, M., Duan, Z.S., Chen, G.R.: Delay-enhanced coherence of spiral waves in noisy Hodgkin-Huxley neuronal networks. Phys. Lett. A 372, 5681-5687 (2008)
    • (2008) Phys. Lett. A , vol.372 , pp. 5681-5687
    • Wang, Q.Y.1    Perc, M.2    Duan, Z.S.3    Chen, G.R.4
  • 32
    • 45749099700 scopus 로고    scopus 로고
    • Synchronization transition by synaptic delay in coupled fast spiking neurons
    • 2422928 1147.34334 10.1142/S0218127408020914
    • Wang, Q.Y., Lu, Q.S., Chen, G.R.: Synchronization transition by synaptic delay in coupled fast spiking neurons. Int. J. Bifurc. Chaos 18, 1189-1198 (2008)
    • (2008) Int. J. Bifurc. Chaos , vol.18 , pp. 1189-1198
    • Wang, Q.Y.1    Lu, Q.S.2    Chen, G.R.3
  • 33
    • 79051469197 scopus 로고    scopus 로고
    • Synchronization transitions on small-world neuronal networks: Effects of information transmission delay and rewiring probability
    • 10.1209/0295-5075/83/50008
    • Wang, Q.Y., Duan, Z.S., Perc, M., Chen, G.R.: Synchronization transitions on small-world neuronal networks: effects of information transmission delay and rewiring probability. Europhys. Lett. 83, 50008 (2008)
    • (2008) Europhys. Lett. , vol.83 , pp. 50008
    • Wang, Q.Y.1    Duan, Z.S.2    Perc, M.3    Chen, G.R.4
  • 34
    • 77953126942 scopus 로고    scopus 로고
    • Impact of delays and rewiring on the dynamics of small-world neuronal networks with two types of coupling
    • 10.1016/j.physa.2010.03.031
    • Wang, Q.Y., Perc, M., Duan, Z.S., Chen, G.R.: Impact of delays and rewiring on the dynamics of small-world neuronal networks with two types of coupling. Physica A 389, 3299-3306 (2010)
    • (2010) Physica A , vol.389 , pp. 3299-3306
    • Wang, Q.Y.1    Perc, M.2    Duan, Z.S.3    Chen, G.R.4
  • 35
    • 69449089341 scopus 로고    scopus 로고
    • Synchronization transitions on scale-free neuronal networks due to finite information transmission delays
    • 026206 10.1103/PhysRevE.80.026206
    • Wang, Q.Y., Perc, M., Duan, Z.S., Chen, G.R.: Synchronization transitions on scale-free neuronal networks due to finite information transmission delays. Phys. Rev. E 80, 026206 (2009)
    • (2009) Phys. Rev. e , vol.80
    • Wang, Q.Y.1    Perc, M.2    Duan, Z.S.3    Chen, G.R.4
  • 36
    • 79251577062 scopus 로고    scopus 로고
    • Synchronous bursts on scale-free neuronal networks with attractive and repulsive coupling
    • e15851 10.1371/journal.pone.0015851
    • Wang, Q.Y., Chen, G.R., Perc, M.: Synchronous bursts on scale-free neuronal networks with attractive and repulsive coupling. PLoS ONE 6, e15851 (2011)
    • (2011) PLoS ONE , vol.6
    • Wang, Q.Y.1    Chen, G.R.2    Perc, M.3
  • 37
    • 84862169911 scopus 로고    scopus 로고
    • Complex synchronous behavior in interneuronal networks with delayed inhibitory and fast electrical synapses
    • 061905 10.1103/PhysRevE.85.061905
    • Guo, D.Q., Wang, Q.Y., Perc, M.: Complex synchronous behavior in interneuronal networks with delayed inhibitory and fast electrical synapses. Phys. Rev. E 85, 061905 (2012)
    • (2012) Phys. Rev. e , vol.85
    • Guo, D.Q.1    Wang, Q.Y.2    Perc, M.3
  • 38
    • 78650704418 scopus 로고    scopus 로고
    • Resonance tongues of a system of globally coupled Fitzhugh-Nagumo oscillators with time-periodic coupling strength
    • 043114 10.1063/1.3504999
    • Birzu, A., Krischer, K.: Resonance tongues of a system of globally coupled Fitzhugh-Nagumo oscillators with time-periodic coupling strength. Chaos 20, 043114 (2010)
    • (2010) Chaos , vol.20
    • Birzu, A.1    Krischer, K.2
  • 39
    • 84855288984 scopus 로고    scopus 로고
    • Multiple coherence resonance induced by time-periodic coupling strength in stochastic Hodgkin-Huxley neuron networks
    • 043109 10.1063/1.3652847
    • Lin, X., Gong, Y.B., Wang, L.: Multiple coherence resonance induced by time-periodic coupling strength in stochastic Hodgkin-Huxley neuron networks. Chaos 21, 043109 (2011)
    • (2011) Chaos , vol.21
    • Lin, X.1    Gong, Y.B.2    Wang, L.3
  • 40
    • 84863016379 scopus 로고    scopus 로고
    • Multiple coherence resonances by time-periodic coupling strength in scale-free networks of bursting neurons
    • 10.1140/epjb/e2011-20895-0
    • Wang, L., Gong, Y.B., Lin, X., Xu, B.: Multiple coherence resonances by time-periodic coupling strength in scale-free networks of bursting neurons. Eur. Phys. J. B 85, 14 (2012)
    • (2012) Eur. Phys. J. B , vol.85 , pp. 14
    • Wang, L.1    Gong, Y.B.2    Lin, X.3    Xu, B.4
  • 41
    • 0032066286 scopus 로고    scopus 로고
    • Computer simulations of neuronal signal transductions the role of nonlinear dynamics and noise
    • 0932.92008 10.1142/S0218127498000681
    • Braun, H.A., Huber, M.T., Dewald, M., Schafer, K., Voigt, K.: Computer simulations of neuronal signal transductions the role of nonlinear dynamics and noise. Int. J. Bifurc. Chaos 8, 881-889 (1998)
    • (1998) Int. J. Bifurc. Chaos , vol.8 , pp. 881-889
    • Braun, H.A.1    Huber, M.T.2    Dewald, M.3    Schafer, K.4    Voigt, K.5
  • 42
    • 0028047174 scopus 로고
    • Oscillation and noise determine signal transduction in shark multimodal sensory cells
    • 10.1038/367270a0
    • Braun, H.A., Wissing, H., Schäfer, K., Hirsch, M.C.: Oscillation and noise determine signal transduction in shark multimodal sensory cells. Nature 367, 270-273 (1994)
    • (1994) Nature , vol.367 , pp. 270-273
    • Braun, H.A.1    Wissing, H.2    Schäfer, K.3    Hirsch, M.C.4
  • 43
    • 0030729901 scopus 로고    scopus 로고
    • Low-dimensional dynamics in sensory biology 1: Thermally sensitive electroreceptors of the catfish
    • 0894.92013 10.1023/A:1008852000496
    • Braun, H.A., Schäfer, K., Voigt, K., Peters, R., Bretschneider, F., Pei, X., Wilkens, L., Moss, F.: Low-dimensional dynamics in sensory biology 1: thermally sensitive electroreceptors of the catfish. J. Comput. Neurosci. 4, 335-347 (1997)
    • (1997) J. Comput. Neurosci. , vol.4 , pp. 335-347
    • Braun, H.A.1    Schäfer, K.2    Voigt, K.3    Peters, R.4    Bretschneider, F.5    Pei, X.6    Wilkens, L.7    Moss, F.8
  • 44
    • 0032874691 scopus 로고    scopus 로고
    • Low-dimensional dynamics in sensory biology 2: Facial cold receptors of the rat
    • 0933.92014 10.1023/A:1008911409355
    • Braun, H.A., Dewald, M., Schäfer, K., Voigt, K., Pei, X., Dolan, K., Moss, F.: Low-dimensional dynamics in sensory biology 2: facial cold receptors of the rat. J. Comput. Neurosci. 7, 17-32 (1999)
    • (1999) J. Comput. Neurosci. , vol.7 , pp. 17-32
    • Braun, H.A.1    Dewald, M.2    Schäfer, K.3    Voigt, K.4    Pei, X.5    Dolan, K.6    Moss, F.7
  • 45
    • 0034147579 scopus 로고    scopus 로고
    • Homoclinic bifurcation in a Hodgkin-Huxley model of thermally sensitive neurons
    • 1759938 0990.92003 10.1063/1.166488
    • Feudel, U., Neiman, A., Pei, X., Wojtenek, W., Braun, H.A., Huber, M., Moss, F.: Homoclinic bifurcation in a Hodgkin-Huxley model of thermally sensitive neurons. Chaos 10, 231-239 (2000)
    • (2000) Chaos , vol.10 , pp. 231-239
    • Feudel, U.1    Neiman, A.2    Pei, X.3    Wojtenek, W.4    Braun, H.A.5    Huber, M.6    Moss, F.7
  • 46
    • 0347334779 scopus 로고    scopus 로고
    • Renormalization group analysis of the small-world network model
    • 1732095 0940.82029 10.1016/S0375-9601(99)00757-4
    • Newman, M.E.J., Watts, D.J.: Renormalization group analysis of the small-world network model. Phys. Lett. A 263, 341-346 (1999)
    • (1999) Phys. Lett. A , vol.263 , pp. 341-346
    • Newman, M.E.J.1    Watts, D.J.2
  • 47
    • 0033487710 scopus 로고    scopus 로고
    • Scaling and percolation in the small-world network model
    • Newman, M.E.J., Watts, D.J.: Scaling and percolation in the small-world network model. Phys. Rev. E 60, 7332-7342 (1999)
    • (1999) Phys. Rev. e , vol.60 , pp. 7332-7342
    • Newman, M.E.J.1    Watts, D.J.2
  • 48
    • 0034310033 scopus 로고    scopus 로고
    • Models of the small world
    • 10.1023/A:1026485807148
    • Newman, M.E.J.: Models of the small world. J. Stat. Phys. 101, 814-841 (2000)
    • (2000) J. Stat. Phys. , vol.101 , pp. 814-841
    • Newman, M.E.J.1


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