Noise-driven topological changes in chaotic dynamics

[1 ]CONICET—Universidad de Buenos Aires, Centro de Investigaciones del Mar y la Atmósfera (CIMA), C1428EGA Ciudad Autónoma de Buenos Aires, Argentina

[2 ]CNRS—IRD—CONICET—UBA, Institut Franco-Argentin d’Études sur le Climat et ses Impacts (IRL 3351 IFAECI), C1428EGA Ciudad Autónoma de Buenos Aires, Argentina

[3 ]Weizmann Institute of Science, Rehovot 7610001, Israel

[4 ]CNRS—Centre National de la Recherche Scientifique, 75016 Paris, France

[5 ]Geosciences Department and Laboratoire de Météorologie Dynamique (CNRS and IPSL), École Normale Supérieure and PSL University, 75231 Paris Cedex 05, France

[6 ]Department of Atmospheric and Oceanic Sciences, University of California, Los Angeles, California 90095-1565, USA