The role played by the low-energy modes in chaos of high-dimensional systems has been studied by using the spatiotemporal entropy balance. The result is a decomposition of the chaotic dynamics into active and passive parts. The active dynamics is responsible for information generation and consumption, whereas the passive part is mostly redundant. We compare our result with the Karhunen-Loéve expansion applied to the same chaotic signal. We found that the mode which appears in the low-energy structure (less than 1% of total energy) can be important to the information dynamics in chaos.

• Received 12 December 1994

DOI:https://doi.org/10.1103/PhysRevE.52.2322