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Numerical orbits of chaotic processes represent true orbits

Stephan M. Hammel, James A. Yorke, Celso Grebogi

Bulletin of the American Mathematical Society · 1988 · 175 citations · 5 references

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Abstract

On developpe une procedure numerique rigoureuse pour demontrer qu'il existe une vraie orbite qui reste proche de l'orbite de bruit d'un processus chaotique donne pour un temps long

References

5

ω-Limit sets for Axiom A diffeomorphisms

Rufus Bowen · Journal of Differential Equations · 1975 · 305 citations

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Do numerical orbits of chaotic dynamical processes represent true orbits?

Stephen Hammel, James A. Yorke, Celso Grebogi · Journal of Complexity · 1987 · 249 citations

, , +14

Global dynamical behavior of the optical field in a ring cavity

Stephen Hammel, Jerome V. Moloney, Christopher K. R. T. Jones · Journal of the Optical Society of America B · 1985 · 162 citations

, , +13

Is every approximate trajectory of some process near an exact trajectory of a nearby process?

Helena E. Nusse, James A. Yorke · Communications in Mathematical Physics · 1988 · 55 citations

, , +7

Pseudo-Orbit Shadowing in the Family of Tent Maps

Ethan M. Coven, Ittai Kan, James A. Yorke · Transactions of the American Mathematical Society · 1988 · 41 citations · Full text

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