A set of MATLAB functions used to calculate bifurcations and fixed point stability of simple maps (difference equations).
See the example files and the figures generated by them in the fig subdirectory.
How to run an example: open the .m example file in MATLAB and change the working directory in MATLAB to this folder.
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Girardi-Schappo M, Galera EF, Carvalho TTA, Brochini L, Kamiji NL, Roque AC, Kinouchi O (2020): A unified theory of E/I synaptic balance, quasicritical neuronal avalanches and asynchronous irregular spiking. bioRXiv: https://doi.org/10.1101/2020.12.17.423201
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Girardi-Schappo M, Brochini L, Costa AA, Carvalho TTA, Kinouchi O (2020): Synaptic balance due to homeostatically self-organized quasicritical dynamics. Phys. Rev. Research 2, 012042. https://doi.org/10.1103/PhysRevResearch.2.012042
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Girardi-Schappo M, Bortolotto GS, Stenzinger RV, Gonsalves JJ, Tragtenberg MHR (2017) Phase diagrams and dynamics of a computationally efficient map-based neuron model. PLoS ONE 12(3): e0174621. https://doi.org/10.1371/journal.pone.0174621
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Girardi-Schappo M, Tragtenberg MHR, Kinouchi O (2013) Journal of Neuroscience Methods Volume 220, Issue 2, 15 November 2013, Pages 116-130. https://doi.org/10.1016/j.jneumeth.2013.07.014
- The KT(z) logistic and tanh maps
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- Mean-field E/I network
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