194
Z. Zheng
47. Buzsaki, G., Draguhn, A.: Neuronal oscillations in cortical networks. Science 304, 1926–1929
(2004)
48. Zheng, Z. G.: Collective Behaviors and Spatiotemporal Dynamics in Coupled Nonlinear
Systems. Beijing, Higher Education Press (in Chinese) (2004)
49. Goldbeter, A.: Computational approaches to cellular rhythms. Nature 420, 238–245 (2002)
50. Ferrell, J.E., Tsai, T.Y., Yang, Q.: Modeling the cell cycle: Why do certain circuits oscillate?
Cell 144, 874–885 (2011)
51. Gardner, T.S., Cantor, C.R., Collins, J.J.: Construction of a genetic toggle switch in Escherichia
coli. Nature 403(6767), 339–342 (2000)
52. Ozbudak, E., Thattai, M., Lim, H., et al.: Multistability in the lactose utilization network of
Escherichia coli. Nature 427, 737–740 (2004)
53. Tsai, T.Y., Choi, Y.S., Ma, W.Z., Pomerening, J.R., Tang, C., Ferrell, J.E.: Ferrell, robust,
tunable biological oscillations from interlinked positive and negative feedback loops. Science
321(5885), 126–129 (2008)
54. Huang, X.H., Zheng, Z.G., Hu, G., Wu, S., Rasch, M.J.: Different propagation speeds of
recalled sequences in plastic spiking neural networks. New J. Phys. 17, 035006 (2015)
55. Chen, L., Aihara, K.: Chaotic simulated annealing by a neural-network model with transient
chaos. Neur. Net. 8, 915–930 (1995)
56. Herz, A.V.M., Gollisch, T., Machens, C.K., Jaeger, D.: Modeling single-neuron dynamics and
computations: A balance of detail and abstraction. Science 314, 80–85 (2006)
57. Mandelblat-Cerf, Y., Novick, I., Vaadia, E.: Expressions of multiple neuronal dynamics during
sensorimotor learning in the motor cortex of behaving monkeys, PLoS ONE 6(7), e21626
(2011)
58. Li, N., Daie, K., Svoboda, K., Druckmann, S.: Robust neuronal dynamics in premotor cortex
during motor planning. Nature 532, 459–464 (2016)
59. Burke, J.F., Zaghloul, K.A., et al.: Synchronous and asynchronous theta and gamma activity
during episodic memory formation. J. Neur. 33, 292–304 (2013)
60. Qian, Y., Huang, X.D., Hu, G., Liao, X.H.: Structure and control of self-sustained target waves
in excitable small-world networks. Phys. Rev. E 81, 036101 (2010)
61. Qian, Y., Liao, X.H., Huang, X.D., Mi, Y.Y., Zhang, L.S., Hu, G.: Diverse self-sustained
oscillatory patterns and their mechanisms in excitable small-world networks. Phys. Rev. E
82, 026107 (2010)
62. Liao, X.H., Xia, Q.Z., Qian, Y., Zhang, L.S., Hu, G., Mi, Y.Y.: Pattern formation in oscillatory
complex networks consisting of excitable nodes. Phys. Rev. E 83, 056204 (2010)
63. Liao, X.H., Qian, Y., Mi, Y.Y., Xia, Q.Z., Huang, X.Q., Hu, G.: Oscillation sources and wave
propagation paths in complex networks consisting of excitable nodes. Front. Phys. 6, 124
(2011)
64. Mi, Y.Y., Zhang, L.S., Huang, X.D., Qian, Y., Hu, G., Liao, X.H.: Complex networks with
large numbers of labelable attractors. Europhys. Lett. 95, 58001 (2011)
65. Mi, Y.Y., Liao, X.H., Huang, X.H., Zhang, L.S., Gu, W.F., Hu, G., Wu, S.: Long-period
rhythmic synchronous firing in a scale-free network. PNAS 25, E4931–E4936 (2013)
66. Zhang, Z.Y., Ye, W.M., Qian, Y., Zheng, Z.G., Huang, X.H., Hu, G.: Chaotic motifs in gene
regulatory networks. PLoS ONE 7, e39355 (2012)
67. Zhang, Z.Y., Li, Z.Y., Hu, G., Zheng, Z.G.: Exploring cores and skeletons in oscillatory gene
regulatory networks by a functional weight approach. Europhys. Lett. 105, 18003 (2014)
68. Zhang, Z.Y., Huang, X.H., Zheng, Z.G., Hu, G.: Exploring cores and skeletons in oscillatory
gene regulatory networks by a functional weight approach. Sci. Sin. 44 1319 (in Chinese)
(2014)
69. Jahnke, W., Winfree, A.T.: A survey of spiral wave behavior in the oregonator model. Int. J.
Bif. Chaos 1, 445–466 (1991)
70. Courtemanche, M., Glass, L., Keener, J.P.: Instabilities of a propagating pulse in a ring of
excitable media. Phys. Rev. Lett. 70, 2182–2185 (1993)
71. Qian, Y., Cui, X.H., Zheng, Z.G.: Minimum Winfree loop determines self-sustained
oscillations in excitable Erdos-Renyi random networks. Sci. Rep. 7, 5746 (2017)
Z. Zheng
47. Buzsaki, G., Draguhn, A.: Neuronal oscillations in cortical networks. Science 304, 1926–1929
(2004)
48. Zheng, Z. G.: Collective Behaviors and Spatiotemporal Dynamics in Coupled Nonlinear
Systems. Beijing, Higher Education Press (in Chinese) (2004)
49. Goldbeter, A.: Computational approaches to cellular rhythms. Nature 420, 238–245 (2002)
50. Ferrell, J.E., Tsai, T.Y., Yang, Q.: Modeling the cell cycle: Why do certain circuits oscillate?
Cell 144, 874–885 (2011)
51. Gardner, T.S., Cantor, C.R., Collins, J.J.: Construction of a genetic toggle switch in Escherichia
coli. Nature 403(6767), 339–342 (2000)
52. Ozbudak, E., Thattai, M., Lim, H., et al.: Multistability in the lactose utilization network of
Escherichia coli. Nature 427, 737–740 (2004)
53. Tsai, T.Y., Choi, Y.S., Ma, W.Z., Pomerening, J.R., Tang, C., Ferrell, J.E.: Ferrell, robust,
tunable biological oscillations from interlinked positive and negative feedback loops. Science
321(5885), 126–129 (2008)
54. Huang, X.H., Zheng, Z.G., Hu, G., Wu, S., Rasch, M.J.: Different propagation speeds of
recalled sequences in plastic spiking neural networks. New J. Phys. 17, 035006 (2015)
55. Chen, L., Aihara, K.: Chaotic simulated annealing by a neural-network model with transient
chaos. Neur. Net. 8, 915–930 (1995)
56. Herz, A.V.M., Gollisch, T., Machens, C.K., Jaeger, D.: Modeling single-neuron dynamics and
computations: A balance of detail and abstraction. Science 314, 80–85 (2006)
57. Mandelblat-Cerf, Y., Novick, I., Vaadia, E.: Expressions of multiple neuronal dynamics during
sensorimotor learning in the motor cortex of behaving monkeys, PLoS ONE 6(7), e21626
(2011)
58. Li, N., Daie, K., Svoboda, K., Druckmann, S.: Robust neuronal dynamics in premotor cortex
during motor planning. Nature 532, 459–464 (2016)
59. Burke, J.F., Zaghloul, K.A., et al.: Synchronous and asynchronous theta and gamma activity
during episodic memory formation. J. Neur. 33, 292–304 (2013)
60. Qian, Y., Huang, X.D., Hu, G., Liao, X.H.: Structure and control of self-sustained target waves
in excitable small-world networks. Phys. Rev. E 81, 036101 (2010)
61. Qian, Y., Liao, X.H., Huang, X.D., Mi, Y.Y., Zhang, L.S., Hu, G.: Diverse self-sustained
oscillatory patterns and their mechanisms in excitable small-world networks. Phys. Rev. E
82, 026107 (2010)
62. Liao, X.H., Xia, Q.Z., Qian, Y., Zhang, L.S., Hu, G., Mi, Y.Y.: Pattern formation in oscillatory
complex networks consisting of excitable nodes. Phys. Rev. E 83, 056204 (2010)
63. Liao, X.H., Qian, Y., Mi, Y.Y., Xia, Q.Z., Huang, X.Q., Hu, G.: Oscillation sources and wave
propagation paths in complex networks consisting of excitable nodes. Front. Phys. 6, 124
(2011)
64. Mi, Y.Y., Zhang, L.S., Huang, X.D., Qian, Y., Hu, G., Liao, X.H.: Complex networks with
large numbers of labelable attractors. Europhys. Lett. 95, 58001 (2011)
65. Mi, Y.Y., Liao, X.H., Huang, X.H., Zhang, L.S., Gu, W.F., Hu, G., Wu, S.: Long-period
rhythmic synchronous firing in a scale-free network. PNAS 25, E4931–E4936 (2013)
66. Zhang, Z.Y., Ye, W.M., Qian, Y., Zheng, Z.G., Huang, X.H., Hu, G.: Chaotic motifs in gene
regulatory networks. PLoS ONE 7, e39355 (2012)
67. Zhang, Z.Y., Li, Z.Y., Hu, G., Zheng, Z.G.: Exploring cores and skeletons in oscillatory gene
regulatory networks by a functional weight approach. Europhys. Lett. 105, 18003 (2014)
68. Zhang, Z.Y., Huang, X.H., Zheng, Z.G., Hu, G.: Exploring cores and skeletons in oscillatory
gene regulatory networks by a functional weight approach. Sci. Sin. 44 1319 (in Chinese)
(2014)
69. Jahnke, W., Winfree, A.T.: A survey of spiral wave behavior in the oregonator model. Int. J.
Bif. Chaos 1, 445–466 (1991)
70. Courtemanche, M., Glass, L., Keener, J.P.: Instabilities of a propagating pulse in a ring of
excitable media. Phys. Rev. Lett. 70, 2182–2185 (1993)
71. Qian, Y., Cui, X.H., Zheng, Z.G.: Minimum Winfree loop determines self-sustained
oscillations in excitable Erdos-Renyi random networks. Sci. Rep. 7, 5746 (2017)