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Numerical orbits of chaotic processes represent true orbits
Author(s):
Stephan M.
Hammel;
James A.
Yorke;
Celso
Grebogi
Journal:
Bull. Amer. Math. Soc.
19
(1988),
465-469.
MSC (1985):
Primary 58F13, 58F15;
Secondary 65G10, 65G05
MathSciNet review:
938160
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Additional information
References:
- 1.
- D. V. Anosov, Geodesic flows and closed Riemannian manifolds with negative curvature, Proc. Steklov Inst. Math. 90 (1967). MR 224110
- 2.
- R. Bowen, ω-limit sets for Axiom A diffeomorphisms, J. Differential Equations 18 (1975), MR 413181
- 3.
- S. M. Hammel, J. A. Yorke, and C Grebogi, Do numerical orbits of chaotic dynamical processes represent true orbits?, J. of Complexity 3 (1987), 136-145. MR 907194
- 4.
- S. M. Hammel, C. K. R. T. Jones, and J. V. Moloney, Global dynamical behaviour of the optical field in a ring cavity, J. Opt. Soc. Amer. B 2 (1985), 552-564.
- 5.
- E. Coven, I. Kan and J. A. Yorke, Pseudo-orbit shadowing in the family of tent maps, Trans. Amer. Math. Soc. (to appear). MR 946440
- 6.
- H. Nusse and J. A. Yorke, Is every approximate trajectory of some process near an exact trajectory of a nearby process?, preprint. MR 929137
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Additional Information:
DOI:
10.1090/S0273-0979-1988-15701-1
PII:
S 0273-0979(1988)15701-1
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