@article{fdi:010095344, title = {{S}tructure analysis of the {L}orenz-84 chaotic attractor}, author = {{R}osalie, {M}. and {M}angiarotti, {S}ylvain}, editor = {}, language = {{ENG}}, abstract = {{T}he structure of the {L}orenz-84 attractor is investigated in this study. {I}ts dynamics belonging to weakly dissipative chaos, classical approaches cannot be used to analyze its structure. {T}he color tracer mapping is introduced for this purpose and used to extract the three-dimensional structure of the attractor. {T}he analysis shows that the attractor is a nontrivial case of toroidal chaos: it is organized around a period-2 cavity. {M}oreover, the structure reveals a new mechanism generating chaos in the attractor: a multidirectional stretching. {T}he attractor structure is then artificially represented on a two-dimensional branched manifold, and its validation is performed using a set of periodic orbits previously extracted.}, keywords = {}, booktitle = {}, journal = {{C}haos}, volume = {35}, numero = {10}, pages = {103101 [17 p.]}, ISSN = {1054-1500}, year = {2025}, DOI = {10.1063/5.0287725}, URL = {https://www.documentation.ird.fr/hor/fdi:010095344}, }