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Existence of chaos in evolution equations

✍ Scribed by Yanguang C Li

Book ID
104351138
Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
418 KB
Volume
36
Category
Article
ISSN
0895-7177

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✦ Synopsis

For a general evolution equation with a Silnikov homoclinic orbit, Smale horseshoes are constructed with the tools of [1] and in the same way as in . The linear part of the evolution equation has a finite number of unstable modes. For evolution equations with infinitely many linearly unstable modes, the problem is still open.

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