Which of the following conditions can turn a recurrent network into an input integrator? 66. (part 20, medium) 105-Final
A symmetric network with an eigenvalue smaller than zero
B. The eigenvalues of the network are all zero.
C. A symmetric network with an eigenvalue equal to 1.
D. A recurrent network can never be an input integrator.
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If the eigenvalues of a two-dimensional dynamical system are real and positive, 60. (Part 19, easy) 105-Final
A. the system is unstable around the fixed point.
B. the system is stable around the fixed point.
C. the system is not defined at the fixed point.
D. the system is stable globally.
Which of the following statements about the two formulations of the firing rate model is not correct? Formulation 1: r=F(I), τdI/dt=-I+w·u. Formulation 2: τdr/dt=-r+F(w·u). *58. (Part 18, difficult) 105-Final
A. The two formulations are equivalent and can be applied to any condition.
B. The formulation 1 is used when the time scale of the synaptic dynamics is much slower than the membrane dynamics.
C. The formulation 2 is used when the synaptic dynamics is much faster than the membrane dynamics.
D. The formulation 1 describes the dynamics of the synaptic current while the formulation 2 does not.
Which of the following statements about eigenvectors of a matrix is always correct? 55. (Part 17, medium)105-Final
After transforming by its associated matrix, an eigenvector does not change its length.
B. Eigenvectors of a matrix are perpendicular to each other.
C. An nxm matrix has n+m eigenvectors.
D. An eigenvector does not change its direction after being transformed by its associated matrix.
In the two-exponential function used to describe the synaptic gating variable, the rise time is determined by 18. (Part 07, easy)105-Mid
A. only one of the time constants.
B. the duration of neurotransmitter release.
C. both time constants.
D. none of above.
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