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Lorenz type attractors from codimension one bifurcation

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Abstract

Lorenz type attractors are found from a codimension one bifurcation of a system on the boundary of Morse-Smale systems. Conditions of their emerging are formulated in terms of conventional Floquet exponents of homoclinic orbits—a new characteristic of homoclinic orbits at the bifurcation moment.

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Afraimovich, V., Chow, SN. & Liu, W. Lorenz type attractors from codimension one bifurcation. J Dyn Diff Equat 7, 375–407 (1995). https://doi.org/10.1007/BF02219362

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