Publicación: A NOTE ON DIFFERENTIABILITY OF THE CONJUGACY IN A DELAYED VERSION OF HARTMAN-GROBMAN THEOREM
Fecha
2022
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DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
Resumen
IN THIS WORK WE STUDY THE DIFFERENTIABILITY PROPERTIES OF THE CONJUGATION IN THE BARREIRA-VALLS VERSION OF THE HARTMAN-GROBMAN THEOREM FOR NON-AUTONOMOUS AND DELAYED SYSTEMS. INDEED, WE SHOW THAT THE CONJUGACY IN THE BARREIRA-VALLS THEOREM IS A DIFFEOMORPHISM IF WE IMPOSE SOME EXTRA HYPOTHESIS RELATED WITH THE DECAY OF THE PERTURBATION.
