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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)
     

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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References | Similar articles | Additional information

References:

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D. V. Anosov, Geodesic flows and closed Riemannian manifolds with negative curvature, Proc. Steklov Inst. Math. 90 (1967). MR 224110
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R. Bowen, ω-limit sets for Axiom A diffeomorphisms, J. Differential Equations 18 (1975), MR 413181
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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
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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.
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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
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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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