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Which of the following statements is not a correct procedure of finding the local stability of a one dimensional dynamical system? 48. (Part 16, medium) 105-W5

A. Find the fix points.
B. Linearize the system
C. Find the slope at the fix point.
D. Perform a Fourier transformation.

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A one-dimensional system is said to be undergoing a saddle-node bifurcation if all but which of the following conditions is satisfied? 50. (Part 16, easy) 105-W5

A. Non-hyperbolicity.
B. Parabolicity.
C. Non-degeneracy.
D. Transversality.

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What is the condition for eigenvalues and eigenvectors of a matrix M to exist? *54. (Part 17, easy) 105-W5

A. The determinant of M is non-zero.
B. The matrix M has to be a diagonal matrix.
C. (M-) is not invertible.
D. Any matrix has eigenvalues and eigenvectors.

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Which of the following requirements is correct for a network that can form memory? 67. (part 21, difficult) 105-W7

A. No degenerated eigenvectors.
B. The ability to integrate signals.
C. The ability to sustain steady states after the input is removed.
D. None of above

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In our derivation of memory in the lecture part 21, what is the requirement of , the ratio of activated neurons for each memorized item? *68. (part 21, medium) 105-W7

A. α=1
B. α>1
C. α=0.5
D. α

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Which of the following statements is not a correct procedure of finding the local stability of a one dimensional dynamical system? 48. (Part 16, medium) 105-W5

A. Find the fix points. B. Linearize the system C. Find the slope at the fix point. D. Perform a Fourier transformation.

A one-dimensional system is said to be undergoing a saddle-node bifurcation if all but which of the following conditions is satisfied? 50. (Part 16, easy) 105-W5

What is the condition for eigenvalues and eigenvectors of a matrix M to exist? *54. (Part 17, easy) 105-W5

Which of the following requirements is correct for a network that can form memory? 67. (part 21, difficult) 105-W7

In our derivation of memory in the lecture part 21, what is the requirement of , the ratio of activated neurons for each memorized item? *68. (part 21, medium) 105-W7

A. Find the fix points.
B. Linearize the system
C. Find the slope at the fix point.
D. Perform a Fourier transformation.