Lecture 1
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Location and analysis of equilibria
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Lecture 2
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Continuation of equilibria
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Lecture 3
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Branching points
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Lecture 4
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Bordering technique and detection of
limit and branch points
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Lecture 5
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Bialternate matrix product and
detection of Hopf and Neimark-Sacker bifurcations.
Continuation
of periodic solutions of ODEs
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Lecture 6
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Codim 1 bifurcations of equilibria
and limit cycles
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Lecture 7
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Continuation of limit point and Hopf
bifurcations. Further results on bordering techniques
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Lecture 8
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Continuation of limit point,
period-doubling, and torus bifurcations of cycles
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Lecture 9
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Computation of critical normal forms
for limit point and Hopf bifurcations
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Lecture 10
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Computation of critical periodic
normal forms for limit point, period-doubling, and torus
bifurcations of cycles
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Lecture 11
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Homoclinic orbits to hyperbolic
equilibria and their numerical continuation
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Lecture 12
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Normal forms for codim 1
bifurcations of fixed points
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Lecture 13
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Continuation of codim 1 bifurcation
of fixed points
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