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Differential equations with two time-scales
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Description: |
I'll discuss the role of different time-scales in differential equations and the associated geometry. This will be illustrated by a simple example, the FitzHugh-Nagumo equations, and by two of these equations coupled to form a system in ${\mathbb R}^4$. When two different time-scales are considered separately, the dynamics is constrained by the geometry of the slow manifold, that in this specific example is a surface in the 4-dimensional phase space. Interesting dynamical behaviour arises at singularities of the projection of this surface into the plane of slow variables, shown in the picture. Even more interesting is the situation when the slow equation has a zero at a fold point.
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Date: |
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11:30 |
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Speaker: |
Isabel Labouriau (CMUP, Univ. Porto)
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Institution: |
CMUP
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Place: |
Sala 004, DMat UPorto
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See more:
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<Main>
<UC|UP MATH PhD Program>
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© 2012 Centre for Mathematics, University of Coimbra, funded by
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