You can create your own bifurcation

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2021
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International Journal of Mathematical Education in Science and Technology
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0
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Monteiro L.H.A.
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© 2020 Informa UK Limited, trading as Taylor & Francis Group.Textbooks on Dynamical Systems Theory usually present only three types of codimension-one bifurcations occurring in autonomous first-order nonlinear differential equations. These three types are called saddle-node, transcritical, and pitchfork. However, the number of bifurcations is virtually infinite. In this didactic work, the bifurcation diagrams of three other types of codimension-one bifurcations are analytically derived.
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