A textbook by Paul Miller, Brandeis
University (MIT Press 2018)
Chapter 7: Codes for Figures and Tutorials
- Figure 7.1. Stable and unstable fixed points in a single-variable firing rate model.
- Figure 7.2. Increase of feedback strength causes loss of low firing-rate fixed point.
- Figure 7.3. A bifurcation curve shows the stable and unstable states as a function of a control parameter.
- Figure 7.4. Nullclines showing the fixed points of a bistable system with threshold-linear firing-rate units.
- Figure 7.5. Vector fields indicate the dynamics of a system on a phase plane.
- Figure 7.6. The surprising response to inputs of an inhibition-stabilized network.
- Figure 7.8. Transitions between attractor states in a bistable system.
- Figure 7.9. The FitzHugh Nagumo model.
- Figure 7.10. The FitzHugh-Nagumo model behaves like a Type-II neuron.
- Figure 7.11. Example of a saddle point in a circuit with cross-inhibition.
- Figure 7.12. Chaotic behavior of a circuit of three firing-rate model units.
- Figure 7.13. Chaotic neural activity in high dimensions.
- Figure 7.14. The divergence of firing rates grows exponentially following a small perturbation in a chaotic system.
- Figure 7.16. Analysis of avalanche data from a simple ‘birth-death’ model of neural activity.
Last modified August 22, 2017
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