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Article #956

homoclinic orbit and DS-Tool

#956
From: David Menasce
Date: Fri, 22 Jan 1993 15:33
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Hello,
does anyone know a solution to my problem ?
I plot a homoclinic orbit with DS-Tool and I'd like to check the  
asymptotic behavior of the solution. Roughly speaking: I find a solution,  
say h(t), which goes to infinity as t goes to + and - infinity. The  
problem is that I have this solution only numerically, and when I  
integrate the solution for a big value of t, this solution explodes.  
Nevertheless I'm sure of the existence of this solution, and I know that  
it has to converge to 0 (for t goes to + infinity) like exp(-t) or  
t*exp(-t). I'd like to check it (numerically of course).
Can anyone help me ?
I would greately appreciate suggestions or references. Please reply by  
E-mail.
Thanks
        David Menasce  (david@ecu.unice.fr)
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From: david@ecu.unice.fr (David Menasce)
Newsgroups: sci.math.symbolic
Subject: homoclinic orbit and DS-Tool
Date: 22 Jan 1993 15:33:47 GMT
Organization: University of Nice Sophia-Antipolis
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