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Because the successor function of system (1) is monotonic, an order-one periodic solution of system (1) is unique.
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F2 is the set of all first-link successors of the articles in F1, F3 is the set of all first-link successors of F2, and so forth, up to a point FN where all successors of FN are themselves in FN (in other words, FN+1 = FN), such that further applying the successor function does not shrink the set of articles any more.
That is, if we apply our encoding to the natural number 0 and the successor function we get the natural number n.
The successor function is continuous.
The successor function defined in Definition 2.4 is continuous.
Figure 3 The successor function of point E is negative.
Then (C^) is defined as the successor point of B, and (f(B =y_{C^-y_{B}) is the successor function of point B. Figure 1 The diagram of the successor function.
Then (B^) is defined as the successor point of B, and (f(B =y_{B^-y_{B}) is the successor function of point B. Figure 1 The diagram of the successor function.
If the successor function of system (1) is a monotonic function, then there exists a unique order-one periodic solution.
In different cases, we discuss the existence of the order-1 periodic solution by the successor function method.
The above list of terms already shows the successor function, which is SB.
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