Major open problems in chaos theory and nonlinear dynamics

Y. Charles Li

Record: found
Abstract: found
Article: found

Is Open Access

Major open problems in chaos theory and nonlinear dynamics

Preprint

Author(s): Y. Charles Li

Publication date Created: 2013-05-13

Read this article at

ScienceOpen ArXiv

Bookmark

There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

Abstract

Nowadays, chaos theory and nonlinear dynamics lack research focuses. Here we mention a few major open problems: 1. an effective description of chaos and turbulence, 2. rough dependence on initial data, 3. arrow of time, 4. the paradox of enrichment, 5. the paradox of pesticides, 6. the paradox of plankton.

Related collections

Most cited references 5

Record: found
Abstract: found
Article: not found

Paradox of enrichment: destabilization of exploitation ecosystems in ecological time.

M Rosenzweig (1971)

Six reasonable models of trophic exploitation in a two-species ecosystem whose exploiters compete only by depleting each other's resource supply are presented. In each case, increasing the supply of limiting nutrients or energy tends to destroy the steady state. Thus man must be very careful in attempting to enrich an ecosystem in order to increase its food yield. There is a real chance that such activity may result in decimation of the food species that are wanted in greater abundance.