Article Dans Une Revue japan journal of applied mathematics Année : 1987

Confinor and anti-confinor in constrained "Lorenz" system

Shigehiro Ushiki
  • Fonction : Auteur
René Lozi

Résumé

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.

Dates et versions

hal-04691096 , version 1 (07-09-2024)

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Shigehiro Ushiki, René Lozi. Confinor and anti-confinor in constrained "Lorenz" system. japan journal of applied mathematics, 1987, 4 (3), pp.433-454. ⟨10.1007/BF03167814⟩. ⟨hal-04691096⟩
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