Showing papers by "Choy Heng Lai published in 1997"
TL;DR: In this paper, the bifurcation structure and periodic orbits of the Lorenz-Stenflo equations at large rotation numbers are given, and it is shown that rotation can lead to a much richer dynamical behavior than that of the original Lorenz system and can be used to control or modify the latter's chaos behavior.
Abstract: The bifurcation structure and periodic orbits of the Lorenz–Stenflo equations at large rotation numbers are given. It is shown that rotation can lead to a much richer dynamical behavior than that of the original Lorenz system and can be used to control or modify the latter’s chaos behavior. Orbits with new topology arising from the merging and splitting of different periodic windows are observed. Abrupt changes in the one-dimensional map are pointed out and studied in terms of the interaction of the interior and exterior boundaries.
48 citations
TL;DR: Chaos, bifurcation structures, and periodic orbits of the generalized Lorenz system obtained by Stenflo (1996 Physical Scripta 53 83) for describing nonlinear low-frequency short-wavelength acoustic-gravity waves are investigated as discussed by the authors.
Abstract: Chaos, bifurcation structures, and periodic orbits of the generalized Lorenz system obtained by Stenflo (1996 Physical Scripta 53 83) for describing nonlinear low-frequency short-wavelength acoustic-gravity waves are investigated. It is shown that both saddle-node and period-doubling bifurcations exist in the domain of Hopf instability, and that forward and backward bifurcations may appear respectively in the rotation and Rayleigh number spaces, but both appear in the Prandtl-number space. Interactive empirical formulas for predicting the higher periodic windows are developed, and orbit characteristics in typical periodic windows are discussed.
19 citations