Lorenz Bifurcation: Instabilities in Quasireversible Systems

M. Clerc, P. Coullet, and E. Tirapegui
Phys. Rev. Lett. 83, 3820 – Published 8 November 1999
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Abstract

We describe the two generic instabilities which arise in quasireversible systems and show that their normal forms are the well-known real Lorenz equations and the Maxwell-Bloch equations. We present for the first time analytic predictions for the appearance of Lorenz chaos and we describe a simple mechanical system which experimentally displays this chaotic behavior.

  • Received 23 February 1999

DOI:https://doi.org/10.1103/PhysRevLett.83.3820

©1999 American Physical Society

Authors & Affiliations

M. Clerc1, P. Coullet1,*, and E. Tirapegui2

  • 1Institut Non Linéaire de Nice, UMR 6618 CNRS-UNSA, 1361 Route des lucioles, F-065600 Valbonne, France
  • 2Facultad de Ciencias Físicas y Matematicas, Departamento Físicas, Universidad de Chile, casilla 487-3, Santiago, Chile

  • *Professeur a l'Institut Universitaire de France.

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Vol. 83, Iss. 19 — 8 November 1999

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