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. Hurricanes are complex systems that carry large amounts of energy. Theirimpact often produces natural disasters involving the loss of human lives andmaterials, such as infrastructure, valued at billions of US dollars. However,not everything about hurricanes is negative, as hurricanes are the mainsource of rainwater for the regions where they develop. This study shows anonlinear analysis of the time series of the occurrence of hurricanes in theGulf of Mexico and the Caribbean Sea obtained from 1749 to 2012. Theconstruction of the hurricane time series was carried out based on thehurricane database of the North Atlantic basin hurricane database (HURDAT)and the published historical information. The hurricane time series providesa unique historical record on information about ocean–atmosphereinteractions. The Lyapunov exponent indicated that the system presentedchaotic dynamics, and the spectral analysis and nonlinear analyses of thetime series of the hurricanes showed chaotic edge behavior. One possibleexplanation for this chaotic edge is the individual chaotic behavior ofhurricanes, either by category or individually regardless of their categoryand their behavior on a regular basis.

Nonlinear analysis of the occurrence of hurricanes in the Gulf of Mexico and the Caribbean Sea