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Shang H, Xu R, Wang D, Zhou J, Han S (2017) A Stochastic Neural Firing Generated at a Hopf Bifurcation and Its Biological Relevance Neural Information Processing, Liu, Derong and Xie, Shengli and Li, Yuanqing and Zhao, Dongbin and El-Alfy, El-Sayed M., ed. pp.553

References and models cited by this paper

References and models that cite this paper

Abbasi S, Abbasi A, Sarbaz Y, Janahmadi M (2017) Power Spectral Density Analysis of Purkinje Cell Tonic and Burst Firing Patterns From a Rat Model of Ataxia and Riluzole Treated. Basic Clin Neurosci 8:61-68 [Journal] [PubMed]

Azevedo RT, Garfinkel SN, Critchley HD, Tsakiris M (2017) Cardiac afferent activity modulates the expression of racial stereotypes. Nat Commun 8:13854 [Journal] [PubMed]

Bashkirtseva I,Ryashko L (2017) Stochastic sensitivity analysis of noise-induced order-chaos transitions in discrete-time systems with tangent and crisis bifurcations Physica A: Stat Mech Appl 467:573-584

Bashkirtseva I,Ryashko L,Slepukhina E (2015) Order and chaos in the stochastic Hindmarsh-Rose model of the neuron bursting Nonlinear Dyn 82:919-932

Chay TR (1985) Chaos in a three-variable model of an excitable cell Physica 16:233-242

Gang H, Ditzinger T, Ning CZ, Haken H (1993) Stochastic resonance without external periodic force. Phys Rev Lett 71:807-810 [Journal] [PubMed]

Gu HG,Zhang HM,Wei CL,Yang MH,Liu ZQ,Ren W (2011) Coherence resonance induced stochastic neural firing at a saddle-node bifurcation Int J Mod Phys B 25:3977-3986

Huaguang G, Zhiguo Z, Bing J, Shenggen C (2015) Dynamics of on-off neural firing patterns and stochastic effects near a sub-critical Hopf bifurcation. PLoS One 10:e0121028 [Journal] [PubMed]

Izhikevich EM, Edelman GM (2008) Large-scale model of mammalian thalamocortical systems. Proc Natl Acad Sci U S A 105:3593-8 [Journal] [PubMed]

Jia B, Gu H (2012) Identifying type I excitability using dynamics of stochastic neural firing patterns. Cogn Neurodyn 6:485-97 [Journal] [PubMed]

Lai YC, Park K (2006) Noise-sensitive measure for stochastic resonance in biological oscillators. Math Biosci Eng 3:583-602 [PubMed]

Li Y,Gu H (2017) The distinct stochastic and deterministic dynamics between period-adding and period-doubling bifurcations of neural bursting patterns Nonlinear Dyn 87:2541-2562

Lu T, Wade K, Hong H, Sanchez JT (2017) Ion channel mechanisms underlying frequency-firing patterns of the avian nucleus magnocellularis: A computational model. Channels (Austin) 11:444-458 [Journal] [PubMed]

Mannella R,Palleschi VV (1989) Mean first-passage time in a bistable system driven by strongly correlated noise: introduction of a fluctuating potential Phys Rev A 39:3751-3753

Sancristóbal B,Rebollo B,Boada P,Sanchezvives MV,Garciaojalvo J (2016) Collective stochastic coherence in recurrent neuronal networks Nat Phys 12:881-888

Xing JL, Hu SJ, Yang J (2014) Electrophysiological Features of Neurons in the Mesencephalic Trigeminal Nuclei. Neurosignals 22:79-91 [Journal] [PubMed]

Xing JL,Hu SJ,Xu H,Han S,Wan YH (2011) Subthreshold membrane oscillations underlying integer multiples firing from injured sensory neurons Neuroreport (12 12:1311-1313

Yang MH,Liu ZQ,Li L,Xu YL,Liu HJ,Gu HG (2009) Identifying distinct stochastic dynamics from chaos: a study on multimodal neural firing patterns Int J Bifurc 19:453-485

Zhao Z,Jia B,Gu H (2016) Bifurcations and enhancement of neuronal firing induced by negative feedback Nonlinear Dyn 86:1-12

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