Asymptotic behavior of generalized convolutions

We study the behavior of a class of convolution-type nonlinear transformations. Under some smallness conditions we prove the existence of fixed points and analyze the spectrum of the associated linearized operator.

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Bibliographic Details
Published in:Regular & chaotic dynamics 2009-04, Vol.14 (2), p.248-262
Main Authors: Li, D., Sinai, Ya. G.
Format: Article
Language:English
Subjects:
Dynamical Systems and Ergodic Theory
Mathematics
Mathematics and Statistics
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Description
Summary:We study the behavior of a class of convolution-type nonlinear transformations. Under some smallness conditions we prove the existence of fixed points and analyze the spectrum of the associated linearized operator.
ISSN:1560-3547
1560-3547
1468-4845
DOI:10.1134/S1560354709020051