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<p class=MsoNormal><font size=2 color=navy face=Arial><span lang=EN-IE
style='font-size:10.0pt;font-family:Arial;color:navy'>***************************************<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span lang=EN-IE
style='font-size:10.0pt;font-family:Arial;color:navy'>Please note different day
to usual<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span lang=EN-IE
style='font-size:10.0pt;font-family:Arial;color:navy'>***************************************<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span lang=EN-IE
style='font-size:10.0pt;font-family:Arial;color:navy'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span lang=EN-IE
style='font-size:10.0pt;font-family:Arial;color:navy'>The department of Mathematics
and Statistics invites you to a seminar by </span></font><font size=2
color=navy face=Arial><span style='font-size:10.0pt;font-family:Arial;
color:navy'>Dr. Petri Piiroinen (<st1:place w:st="on"><st1:PlaceType w:st="on">School</st1:PlaceType>
of <st1:PlaceName w:st="on">Mathematics</st1:PlaceName></st1:place>,
Statistics and Applied Mathematics, NUIG): <o:p></o:p></span></font></p>
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<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'> <o:p></o:p></span></font></p>
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<div>
<p class=MsoNormal><font size=2 color=navy face=Arial><span lang=EN-IE
style='font-size:10.0pt;font-family:Arial;color:navy'>---------------------------------------------------------------------------------------</span></font><font
size=2 color=navy face=Arial><span style='font-size:10.0pt;font-family:Arial;
color:navy'><o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span lang=EN-IE
style='font-size:10.0pt;font-family:Arial;color:navy'>Title</span></font><font
size=2 color="#333399" face=Arial><span lang=EN-IE style='font-size:10.0pt;
font-family:Arial;color:#333399'>: </span></font><font size=2 color=navy
face=Arial><span lang=EN-IE style='font-size:10.0pt;font-family:Arial;
color:navy'>A reconsideration of Samuelson's multiplier-accelerator model</span></font><font
size=2 color="#333399" face=Arial><span lang=EN-IE style='font-size:10.0pt;
font-family:Arial;color:#333399'><o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span lang=EN-IE
style='font-size:10.0pt;font-family:Arial;color:navy'>Abstract: </span></font><font
size=2 color=navy face=Arial><span lang=EN-US style='font-size:10.0pt;
font-family:Arial;color:navy'>The year 2009 marked the 70th anniversary of the
publication of Samuelson's Multiplier-Accelerator model, which laid out a
rigorous mathematical formulation of the theory of Business Cycles. We note
that today's economic climate is very similar to when Samuelson described his
model, so the global response to the present crisis in the form of fiscal
stimulus motivated a reconsideration of Samuelson's model. The original
Samuelson model is extended with a fiscal stimulus program that is modelled as
a discontinuity in the government expenditure. We will see the effects of a
discontinuous governmental expenditure policy as a control methodology and also
how a simple modification of the original model yields some interesting
dynamics in terms of periodic orbits and chaotic fluctuations.<o:p></o:p></span></font></p>
<p><font size=2 color=navy face=Arial><span lang=EN-US style='font-size:10.0pt;
font-family:Arial;color:navy'> </span></font><font size=2 color=navy
face=Arial><span style='font-size:10.0pt;font-family:Arial;color:navy'>--------------------------------------------------------------------------------------</span></font><o:p></o:p></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'>The seminar will take place on <b><span
style='font-weight:bold'>Wednesday 19<sup>th</sup> May, at 4pm</span></b>, in
A2-002.</span></font><o:p></o:p></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'> <o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'>If you have any questions regarding this
seminar, please direct them to Sarah Mitchell (061 202259, <span
class=MsoHyperlink><font color=navy title="blocked::mailto:sarah.mitchell@ul.ie"><span
title="blocked::mailto:sarah.mitchell@ul.ie"><span style='color:navy;
text-decoration:none'>sarah.mitchell@ul.ie</span></span></font></span>).
A full list of Seminars for this semester can be found at: </span></font><o:p></o:p></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'> <o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span lang=EN-IE
style='font-size:10.0pt;font-family:Arial;color:navy'><a
href="http://www.staff.ul.ie/mitchells/MACSI_seminars.html"
title="blocked::http://www.staff.ul.ie/mitchells/MACSI_seminars.html"><font
color=navy title="blocked::http://www.staff.ul.ie/mitchells/MACSI_seminars.html"><span
title="blocked::http://www.staff.ul.ie/mitchells/MACSI_seminars.html"><span
title="blocked::http://www.staff.ul.ie/mitchells/MACSI_seminars.html"><span
style='color:navy;text-decoration:none'>http://www.staff.ul.ie/mitchells/MACSI_seminars.html</span></span></span></font></a></span></font><o:p></o:p></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'> <o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span lang=EN-IE
style='font-size:10.0pt;font-family:Arial;color:navy'>----------------------------------------------------------------------------</span></font><o:p></o:p></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span lang=EN-IE
style='font-size:10.0pt;font-family:Arial;color:navy'>Supported by Science Foundation
Ireland Mathematics Initiative funding, MACSI - the Mathematics Applications
Consortium for Science and Industry (<span class=MsoHyperlink><span
title="blocked::www.macsi.ie"><font color=navy title="blocked::www.macsi.ie"><span
title="blocked::www.macsi.ie"><span style='color:navy;text-decoration:none'>www.macsi.ul.ie</span></span></font></span></span>),
centred at the University of Limerick, is dedicated to the mathematical
modelling and solution of problems which arise in science, engineering and
industry in Ireland</span></font><o:p></o:p></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span lang=EN-IE
style='font-size:10.0pt;font-family:Arial;color:navy'>----------------------------------------------</span></font><o:p></o:p></p>
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