Akam T, Oren I, Mantoan L, Ferenczi E, Kullmann DM (2012) Oscillatory dynamics in the hippocampus support dentate gyrus–CA3 coupling. Nat Neurosci 15:763-8 [Journal] [PubMed]

Ashwin P, Coombes S, Nicks R (2016) Mathematical Frameworks for Oscillatory Network Dynamics in Neuroscience. J Math Neurosci 6:2 [Journal] [PubMed]

Bartos M, Vida I, Jonas P (2007) Synaptic mechanisms of synchronized gamma oscillations in inhibitory interneuron networks. Nat Rev Neurosci 8:45-56 [Journal] [PubMed]

Brown E, Moehlis J, Holmes P (2004) On the phase reduction and response dynamics of neural oscillator populations. Neural Comput 16:673-715 [Journal] [PubMed]

Buzsaki G (2006) Rhythms of the Brain

Canavier CC (2015) Phase-resetting as a tool of information transmission. Curr Opin Neurobiol 31:206-13 [Journal] [PubMed]

Canolty RT, Knight RT (2010) The functional role of cross-frequency coupling. Trends Cogn Sci 14:506-15 [Journal] [PubMed]

Cardin JA, Carlén M, Meletis K, Knoblich U, Zhang F, Deisseroth K, Tsai LH, Moore CI (2009) Driving fast-spiking cells induces gamma rhythm and controls sensory responses. Nature 459:663-7 [Journal] [PubMed]

Deco G, Jirsa VK, Robinson PA, Breakspear M, Friston K (2008) The dynamic brain: from spiking neurons to neural masses and cortical fields. PLoS Comput Biol 4:e1000092 [Journal] [PubMed]

Ermentrout GB, Galán RF, Urban NN (2008) Reliability, synchrony and noise. Trends Neurosci 31:428-34 [Journal] [PubMed]

Ermentrout GB, Terman DH (2010) Mathematical Foundations of Neuroscience Interdisciplinary Applied Mathematics, Antman SS:Marsden JE:Sirovich L:Wiggins, ed. pp.1 [Journal]

•	Mathematical Foundations of Neuroscience (Ermentrout and Terman 2010) [Model]

Glass L,Mackey MC (1988) From Clocks to Chaos: The Rhythms of Life

Hannay KM, Booth V, Forger DB (2015) Collective phase response curves for heterogeneous coupled oscillators. Phys Rev E Stat Nonlin Soft Matter Phys 92:022923 [Journal] [PubMed]

Izhikevich EM (2007) Solving the distal reward problem through linkage of STDP and dopamine signaling. Cereb Cortex 17:2443-52 [Journal] [PubMed]

•	Linking STDP and Dopamine action to solve the distal reward problem (Izhikevich 2007) [Model]

Kawamura Y, Nakao H, Kuramoto Y (2011) Collective phase description of globally coupled excitable elements. Phys Rev E Stat Nonlin Soft Matter Phys 84:046211 [Journal] [PubMed]

Kotani K, Yamaguchi I, Ogawa Y, Jimbo Y, Nakao H, Ermentrout GB (2012) Adjoint method provides phase response functions for delay-induced oscillations. Phys Rev Lett 109:044101 [Journal] [PubMed]

Kotani K, Yamaguchi I, Yoshida L, Jimbo Y, Ermentrout GB (2014) Population dynamics of the modified theta model: macroscopic phase reduction and bifurcation analysis link microscopic neuronal interactions to macroscopic gamma oscillation. J R Soc Interface 11:20140058 [Journal] [PubMed]

Levnajic Z, Pikovsky A (2010) Phase resetting of collective rhythm in ensembles of oscillators. Phys Rev E Stat Nonlin Soft Matter Phys 82:056202 [Journal] [PubMed]

Luke TB, Barreto E, So P (2013) Complete classification of the macroscopic behavior of a heterogeneous network of theta neurons. Neural Comput 25:3207-34 [Journal] [PubMed]

Maris E, Fries P, van Ede F (2016) Diverse Phase Relations among Neuronal Rhythms and Their Potential Function. Trends Neurosci 39:86-99 [Journal] [PubMed]

Montbrió E,Pazó D,Roxin A (2015) Phys Rev X 5:021028

Nakao H (2016) Phase reduction approach to synchronization of nonlinear oscillators Contemp. Phys. 57:188 [Journal]

Nakao H,Yanagita T,Kawamura Y (2014) Phase-Reduction Approach to Synchronization of Spatiotemporal Rhythms in Reaction-Diffusion Systems Phys. Rev. X 4:021032

Ott E, Antonsen TM (2008) Low dimensional behavior of large systems of globally coupled oscillators. Chaos 18:037113 [Journal] [PubMed]

Pazó D, Montbrió E (2016) From Quasiperiodic Partial Synchronization to Collective Chaos in Populations of Inhibitory Neurons with Delay. Phys Rev Lett 116:238101 [Journal] [PubMed]

Smeal RM, Ermentrout GB, White JA (2010) Phase-response curves and synchronized neural networks. Philos Trans R Soc Lond B Biol Sci 365:2407-22 [Journal] [PubMed]

Stiefel KM, Ermentrout GB (2016) Neurons as oscillators. J Neurophysiol 116:2950-2960 [Journal] [PubMed]

Wilson HR, Cowan JD (1972) Excitatory and inhibitory interactions in localized populations of model neurons. Biophys J 12:1-24 [Journal] [PubMed]

•	Excitatory and inhibitory interactions in populations of model neurons (Wilson and Cowan 1972) [Model]

Winfree A (2001) The Geometry of Biological Time (2nd ed)