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BIFURCATION STRUCTURE AND PERIODIC ORBITS OF THE LORENZ EQUATIONS IN THE PRANDTL NUMBER SPACE

C. H. LAI

Department of Computational Science, Faculty of Science, National University of Singapore, Singapore 0511, Singapore

Department of Physics, Faculty of Science, National University of Singapore, Singapore 0511, Singapore

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C. T. ZHOU

Department of Computational Science, Faculty of Science, National University of Singapore, Singapore 0511, Singapore

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M. Y. YU

Institut für Theoretische Physik I, Ruhr-Universität Bochum, D-44780 Bochum, Germany

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https://doi.org/10.1142/S0217984996001619Cited by:2 (Source: Crossref)

Abstract

The bifurcation structure and periodic orbits of the Lorenz system with the Prandt1 number as the control parameter are investigated. It is shown that new bifurcation phenomena, both positive (forward) and inverse (backward) bifurcations, which do not appear together in the Rayleigh number space, can appear. The orbit characteristics in typical periodic windows are also studied.