PERIODIC SOLUTIONS AND SLOW MANIFOLDS
2007 ◽
Vol 17
(08)
◽
pp. 2533-2540
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Keyword(s):
After reviewing a number of results from geometric singular perturbation theory, we give an example of a theorem for periodic solutions in a slow manifold. This is illustrated by examples involving the van der Pol-equation and a modified logistic equation. Regarding nonhyperbolic transitions we discuss a four-dimensional relaxation oscillation and also canard-like solutions emerging from the modified logistic equation with sign-alternating growth rates.
2006 ◽
Vol 136
(6)
◽
pp. 1317-1325
◽
2017 ◽
Vol 262
(3)
◽
pp. 1617-1630
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2014 ◽
pp. 53-70
1985 ◽
Vol 16
(1)
◽
pp. 1-6
◽
1979 ◽
Vol 31
(1)
◽
pp. 53-98
◽
2015 ◽
Vol 259
(10)
◽
pp. 5137-5167
◽
2003 ◽
Vol 14
(1)
◽
pp. 85-110
◽
2001 ◽
Vol 33
(2)
◽
pp. 315-346
◽