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Discrete & Continuous Dynamical Systems - S

December 2009 , Volume 2 , Issue 4

A special issue on Bifurcation Delay

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Preface
P. De Maesschalck, Freddy Dumortier and Martin Wechselberger
2009, 2(4): i-iii doi: 10.3934/dcdss.2009.2.4i +[Abstract](968) +[PDF](44.5KB)
Birth of canard cycles
Freddy Dumortier and Robert Roussarie
2009, 2(4): 723-781 doi: 10.3934/dcdss.2009.2.723 +[Abstract](1719) +[PDF](593.2KB)
Geometric singular perturbation analysis of an autocatalator model
Ilona Gucwa and Peter Szmolyan
2009, 2(4): 783-806 doi: 10.3934/dcdss.2009.2.783 +[Abstract](1170) +[PDF](818.0KB)
The geometry of mixed-mode oscillations in the Olsen model for the Peroxidase-Oxidase reaction
Mathieu Desroches, Bernd Krauskopf and Hinke M. Osinga
2009, 2(4): 807-827 doi: 10.3934/dcdss.2009.2.807 +[Abstract](1303) +[PDF](1350.2KB)
Homoclinic clusters and chaos associated with a folded node in a stellate cell model
Martin Wechselberger and Warren Weckesser
2009, 2(4): 829-850 doi: 10.3934/dcdss.2009.2.829 +[Abstract](916) +[PDF](639.2KB)
Homoclinic orbits of the FitzHugh-Nagumo equation: The singular-limit
John Guckenheimer and Christian Kuehn
2009, 2(4): 851-872 doi: 10.3934/dcdss.2009.2.851 +[Abstract](1028) +[PDF](418.9KB)
Survival of subthreshold oscillations: The interplay of noise, bifurcation structure, and return mechanism
Rachel Kuske and Peter Borowski
2009, 2(4): 873-895 doi: 10.3934/dcdss.2009.2.873 +[Abstract](987) +[PDF](719.1KB)
On stability loss delay for dynamical bifurcations
Anatoly Neishtadt
2009, 2(4): 897-909 doi: 10.3934/dcdss.2009.2.897 +[Abstract](1056) +[PDF](302.7KB)
Bifurcation delay - the case of the sequence: Stable focus - unstable focus - unstable node
Eric Benoît
2009, 2(4): 911-929 doi: 10.3934/dcdss.2009.2.911 +[Abstract](1122) +[PDF](1709.6KB)
A survey of some results on overstability and bifurcation delay
Augustin Fruchard and Reinhard Schäfke
2009, 2(4): 931-965 doi: 10.3934/dcdss.2009.2.931 +[Abstract](755) +[PDF](2471.7KB)
Generalized exchange lemmas and orbits heteroclinic to invariant manifolds
Christopher K. R. T. Jones and Siu-Kei Tin
2009, 2(4): 967-1023 doi: 10.3934/dcdss.2009.2.967 +[Abstract](1126) +[PDF](647.1KB)

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