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On some equations of the Duffing type


Fitouri, C. On some equations of the Duffing type. 2008, University of Zurich, Faculty of Science.

Abstract

In this thesis, we study some type of differential equations of second order, called Duffing
equations. These equations are used to describe the chaotic behavior of a mechanical
system in a double potential field. First, we study sufficient conditions under which an
equation of this type has bounded solutions. Basically, we try to prevent the chaotic
behavior of such bounded solutions. Secondly, we obtain a close-to-optimal bound of the
solution of equations of the Duffing type, in the large dumping case. Finally, we find
the sharp estimates of bounded solutions of certain semilinear second order dissipative
equations.

Abstract

In this thesis, we study some type of differential equations of second order, called Duffing
equations. These equations are used to describe the chaotic behavior of a mechanical
system in a double potential field. First, we study sufficient conditions under which an
equation of this type has bounded solutions. Basically, we try to prevent the chaotic
behavior of such bounded solutions. Secondly, we obtain a close-to-optimal bound of the
solution of equations of the Duffing type, in the large dumping case. Finally, we find
the sharp estimates of bounded solutions of certain semilinear second order dissipative
equations.

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Additional indexing

Item Type:Dissertation
Referees:Chipot M, Sauter S, Vergara-Caffarelli G
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:2008
Deposited On:07 Jan 2009 14:11
Last Modified:06 Dec 2017 16:15
Number of Pages:58
Related URLs:http://opac.nebis.ch/F/?local_base=NEBIS&con_lng=GER&func=find-b&find_code=SYS&request=005641101

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