题目内容

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.

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

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

Which of the following two dimensional system possesses a saddle point? (A’ denotes the time derivative of A) 70. (part 22, easy) 105-W7

A. x’=-y, y’=-x
B. x’=-x, y’=-y
C. x’=x, y’=y
D. x’=0, y’=1

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