Route to chaos and resonant triads interaction in a truncated rotating nonlinear shallow-water model.

ABSTRACT: The route to chaos and the phase dynamics of the large scales in a rotating shallow-water model have been rigorously examined through the construction of an autonomous five-mode Galerkin truncated system employing complex variables, useful in investigating how large/meso-scales are destabilized and how their dynamics evolves and transits to chaos. This investigation revealed two distinct transitions into chaotic behaviour as the level of energy introduced into the system was incrementally increased. The initial transition manifests through a succession of bifurcations that adhere to the established Feigenbaum sequence. Conversely, the subsequent transition, which emerges at elevated levels of injected energy, is marked by a pronounced shift from quasi-periodic states to chaotic regimes. Th

SUBMITTER: Carbone F 

PROVIDER: S-EPMC11315320 | biostudies-literature | 2024

REPOSITORIES: biostudies-literature