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In this program

Parameter-dependent equilibria
Saddle-node and transcritical bifurcations
Pitchfork bifurcations
Hopf bifurcation
Limit cycle creation
Normal forms
Center manifold reduction (introduction)
Codimension-two bifurcations (overview)

Bifurcation theory

Parameter-dependent equilibria

Dynamical systems · Standard syllabus

Topic

Parameter-dependent equilibria; structural stability (introduction)

Practice by unit: Bifurcation theory

Graduate Dynamical Systems — scope drawn from open graduate dynamical systems notes and typical US graduate dynamical systems syllabi.

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