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Errata in the Paper “Chaotic Motion Generated by Delayed Negative Feedback Part II: Construction of Nonlinearities”

✍ Scribed by Bernhard Lani Wayda; Hans-Otto Walther


Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
48 KB
Volume
184
Category
Article
ISSN
0025-584X

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✦ Synopsis


The existence of po E (O,p,], ,130 C &, I0 and TO with the properties asserted in (i) and (ii) (including TO(@,Y*) = t* + q ( @ * ( t * , @ ) ) )

now follows exactly as in the case j < 0 above. Assertions (iii) and (iv) are obtained from part b) (ii) of Theorem 1.7 in [L-W3], 0 Set p = min{pj I j E {k-+ 1, ... ,O}}. Then p 5 p, and part (i) of Proposition 5.1 shows that 0 < dist (N6,Cpj + H ( p ) ) for j E {k-+ 1, . . . ,O}, and for all j, k E {k-+ 1, . . . ,0} with j # k, one has 0 < dist (~pj + H(p),cpk + H ( p ) ) .

and property (v) is a consequence of pj E (O,/?j] and Bj C B j .