Publicación: ON THE C1 ROBUST TRANSITIVITY IF THE GEOMETRIC LORENZ ATTRACTOR
Fecha
2017
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JOURNAL OF DIFFERENTIAL EQUATIONS
Resumen
THE GEOMETRIC LORENZ ATTRACTOR IS AN ATTRACTOR SET CONSTRUCTED IN SUCH A WAY THAT IT SATISFIES THE MAIN QUALITATIVE PROPERTIES EVIDENCED ON THE LORENZ SYSTEM EQUATIONS, PARTICULARLY THE FACT THAT THIS ATTRACTOR IS A ROBUSTLY TRANSITIVE SET. IN THIS PAPER WE PROVE THE -ROBUST TRANSITIVITY BY USING GEOMETRIC PROPERTIES FOR SINGULAR HYPERBOLIC SETS AND WITHOUT THE ASSUMPTION OF THE UNIFORMLY LINEARIZING COORDINATES AROUND THE SINGULARITY.
