Defining chaos. (English) Zbl 1008.37014

Martelli, Mario; Dang, Mai; Seph, Tanya

Math. Mag. 71, No. 2, 112-122 (1998).

This paper surveys, at an elementary level, some different definition of “chaos” for deterministic dynamical systems that have been proposed in the last decades. Each definition, which tries to capture some feature of a “chaotic system”, is compared with the other one’s. The basic equivalence between two simple definitions proposed by Wiggins and Martelli is finally established.

Reviewer: Massimiliano Berti (Trieste)

MSC:

37D45	Strange attractors, chaotic dynamics of systems with hyperbolic behavior
37-01	Introductory exposition (textbooks, tutorial papers, etc.) pertaining to dynamical systems and ergodic theory

Keywords:

deterministic dynamical systems; chaotic system