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Lorenz type attractors from codimension one bifurcation |
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| Authors: | Valentine Afraimovich Shui-Nee Chow Weishi Liu |
| Institution: | (1) Center for Dynamical Systems and Nonlinear Studies, Georgia Institute of Technology, 30332-0190 Atlanta, Georgia;(2) Georgia Institute of Technology, School of Mathematics, 30332-0160 Atlanta, Georgia |
| 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. |
| Keywords: | Lorenz type attractors conventional Floquet exponents hyperbolicity conditions saddle-node bifurcations |
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