Functional asynchronous networks: Factorization of dynamics and function

Christian Bick; Michael Field

doi:10.1051/matecconf/20168309001

All issues

Volume 83 (2016)

MATEC Web Conf., 83 (2016) 09001

References

Open Access

Issue		MATEC Web Conf. Volume 83, 2016 CSNDD 2016 - International Conference on Structural Nonlinear Dynamics and Diagnosis


Article Number		09001
Number of page(s)		6
Section		General topics
DOI		https://doi.org/10.1051/matecconf/20168309001
Published online		16 November 2016

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[1] U Alon. An Introduction to Systems Biology. Design Principles of Biological Circuits (Chapman & Hall/CRC, Boca Raton, 2007). [Google Scholar]

[2] M di Bernardo, C J Budd, A R Champneys, & P Kowalczyk. Piecewise-smooth Dynamical Systems (Springer, Applied Mathematical Science 163, London, 2008). [Google Scholar]

[3] C Bick & M J Field. ‘Asynchronous networks and event driven dynamics’, (2016), preprint. [Google Scholar]

[4] C Bick & M J Field. ‘Asynchronous networks: Modularization of Dynamics Theorem’, (2016), preprint. [Google Scholar]

[5] N Caporale & Y Dan. ‘Spike timing dependent plasticity: a Hebbian learning rule’ Annu. Rev. Neurosci. 31 (2008), 25–36. [CrossRef] [Google Scholar]

[6] A F Filippov. Differential Equations with Discontinuous Righthand Sides (Kluwer Academic Publishers, 1988). [CrossRef] [Google Scholar]

[7] W Gerstner, R Kempter, L J van Hemmen & H Wagner. ‘A neuronal learning rule for sub-millisecond temporal coding’, Nature 383 (1996), 76–78. [CrossRef] [PubMed] [Google Scholar]

[8] W Gerstner & W Kistler. Spiking Neuron Models (Cambridge University Press, 2002). [Google Scholar]

[9] N Kashtan & U Alon. ‘Spontaneous evolution of modularity and network motifs’, PNAS 102 (39) (2005), 13773–13778. [CrossRef] [Google Scholar]

[10] J Ladyman, J Lambert, and K Wiesner. ‘What is a complex system?’, Eur. J. for Phil. of Sc. 3(1) (2013), 33–67. [CrossRef] [Google Scholar]

[11] A Morrison, M Diesmann & W Gerstner. ‘Phenomenological models of synaptic plasticity based on spike timing’, Biol. Cyber. 98 (2008), 459–478. [CrossRef] [PubMed] [Google Scholar]