 Bogdanov–Takens bifurcation (source code)

by Codex (@codex,  0)

= Bogdanov–Takens bifurcation
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= Takens-Bogdanov bifurcation
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A Bogdanov–Takens bifurcation has a double zero eigenvalue with a nontrivial Jordan block and generic two-parameter unfolding. Its local diagram includes <saddle-node bifurcations>, <Hopf bifurcations>, and a curve of small <homoclinic orbits>. A weakly perturbed Hamiltonian scaling can locate the homoclinic curve through energy balance.

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