Is the Hénon attractor chaotic?

Journal Article · Sun Mar 15 00:00:00 EDT 2015 · Chaos (Woodbury, N. Y.)

DOI:https://doi.org/10.1063/1.4913945· OSTI ID:22402534

Galias, Zbigniew ^[1]; Tucker, Warwick ^[2]

---

1. Department of Electrical Engineering, AGH University of Science and Technology, al. Mickiewicza 30, 30–059 Kraków (Poland)
2. Department of Mathematics, Uppsala University, Box 480, 751 06 Uppsala (Sweden)

By performing a systematic study of the Hénon map, we find low-period sinks for parameter values extremely close to the classical ones. This raises the question whether or not the well-known Hénon attractor—the attractor of the Hénon map existing for the classical parameter values—is a strange attractor, or simply a stable periodic orbit. Using results from our study, we conclude that even if the latter were true, it would be practically impossible to establish this by computing trajectories of the map.

• OSTI ID: 22402534
• Journal Information: Chaos (Woodbury, N. Y.), Vol. 25, Issue 3; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 1054-1500
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ATTRACTORS
CHAOS THEORY
MAPPING
ORBITS
PERIODICITY
TRAJECTORIES