Differential flatness for neuroscience population dynamics -- A\n preliminary study

2016/12/10 by Hugues Mounier, Mounier, Hugues
Biochemistry, Genetics and Molecular Biology · Computer Science · Medicine · Neuroscience · Physics and Astronomy · #FOS: Biological sciences #FOS: Electrical engineering #Gene Regulatory Network Analysis #Mathematical and Theoretical Epidemiology and Ecology Models #Neural Networks Stability and Synchronization #Neural dynamics and brain function #Neurons and Cognition (q-bio.NC) #Systems and Control (eess.SY) #electronic engineering #information engineering #stochastic dynamics and bifurcation

paper · pdf · doi:10.48550/arxiv.1612.03314

openalex publication_date 2016/12/10 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

The present document is devoted to structural properties of neural population\ndynamics and especially their differential flatness. Several applications of\ndifferential flatness in the present context can be envisioned, among which:\ntrajectory tracking, feedforward to feedback switching, cyclic character,\npositivity and boundedness.\n

Citations

• Simple model of spiking neurons

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