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Confinor and anti-confinor in constrained “Lorenz” system

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Abstract

The bifurcation of possibly chaotic oscillatory patterns of a family of differential equations constrained on the cusp surface is studied. Notions of “confinor” and “anti-confinor” are introduced to get a rough diagram of bifurcations of this family. “Anti-bifurcation” and “rainbow-bifurcation” are found as bifurcations of confinors.

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Ushiki, S., Lozi, R. Confinor and anti-confinor in constrained “Lorenz” system. Japan J. Appl. Math. 4, 433–454 (1987). https://doi.org/10.1007/BF03167814

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