Title
Visualizing the structure of chaos in the Lorenz system
Abstract
The Lorenz attractor, with its characteristic butterfly shape, has become a much published symbol of chaos. It can be found by simply integrating almost any initial point. However, it is much more difficult to understand how the Lorenz attractor organizes the dynamics in a global way. We use a recently developed algorithm to compute a complicated two-dimensional surface called the stable manifold. Visualization tools are key to conveying its intricate geometry and beauty, which in turn provides insight into the structure of chaos in the Lorenz system.
Year
DOI
Venue
2002
10.1016/S0097-8493(02)00136-X
Computers & Graphics
Keywords
DocType
Volume
Lorenz system,Chaos,Strange attractor,Invariant manifolds
Journal
26
Issue
ISSN
Citations 
5
0097-8493
8
PageRank 
References 
Authors
2.02
0
2
Name
Order
Citations
PageRank
Hinke M. Osinga116020.82
Bernd Krauskopf216729.76