Abstract
The local bifurcation structure of a heteroclinic bifurcation which has been observed in the Lorenz equations is analyzed. The existence of a particular heteroclinic loop at one point in a two-dimensional parameter space (a “T point”) implies the existence of a line of heteroclinic loops and a logarithmic spiral of homoclinic orbits, as well as countably many other topologically more complicatedT points in a small neighborhood in parameter space.
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Glendinning, P., Sparrow, C. T-points: A codimension two heteroclinic bifurcation. J Stat Phys 43, 479–488 (1986). https://doi.org/10.1007/BF01020649
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DOI: https://doi.org/10.1007/BF01020649