Some simple chaotic flows
- 1 August 1994
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 50 (2), R647-R650
- https://doi.org/10.1103/physreve.50.r647
Abstract
A systematic examination of general three-dimensional autonomous ordinary differential equations with quadratic nonlinearities has uncovered 19 distinct simple examples of chaotic flows with either five terms and two nonlinearities or six terms and one nonlinearity. The properties of these systems are described, including their critical points, Lyapunov exponents, and fractal dimensions.Keywords
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