Computing the measure of nonattracting chaotic sets

J  Jacobs; E  Ott; C  Grebogi

Computing the measure of nonattracting chaotic sets

J Jacobs, E Ott, C Grebogi

Physics

Research output: Contribution to journal › Article › peer-review

15 Citations (Scopus)

Abstract

Recently, a numerical method, called the PIM-triple algorithm, has been formulated for generating long orbits on nonattracting chaotic sets. We investigate under which conditions the measure for a nonattracting invariant set generated by the PIM-triple algorithm agrees with the natural measure.

Original language	English
Pages (from-to)	111
Number of pages	11
Journal	Physica. D, Nonlinear Phenomena
Volume	108
Issue number	1-2
Publication status	Published - 15 Sept 1997

Keywords

chaos
saddle
measure
invariant set
FINDING NUMERICAL TRAJECTORIES
ATTRACTORS
TRANSIENTS
SADDLES

Cite this

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title = "Computing the measure of nonattracting chaotic sets",

abstract = "Recently, a numerical method, called the PIM-triple algorithm, has been formulated for generating long orbits on nonattracting chaotic sets. We investigate under which conditions the measure for a nonattracting invariant set generated by the PIM-triple algorithm agrees with the natural measure.",

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author = "J Jacobs and E Ott and C Grebogi",

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T1 - Computing the measure of nonattracting chaotic sets

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AU - Ott, E

AU - Grebogi, C

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AB - Recently, a numerical method, called the PIM-triple algorithm, has been formulated for generating long orbits on nonattracting chaotic sets. We investigate under which conditions the measure for a nonattracting invariant set generated by the PIM-triple algorithm agrees with the natural measure.

KW - chaos

KW - saddle

KW - measure

KW - invariant set

KW - FINDING NUMERICAL TRAJECTORIES

KW - ATTRACTORS

KW - TRANSIENTS

KW - SADDLES

M3 - Article

SN - 0167-2789

VL - 108

SP - 111

JO - Physica. D, Nonlinear Phenomena

JF - Physica. D, Nonlinear Phenomena

IS - 1-2

ER -

Computing the measure of nonattracting chaotic sets

Abstract

Keywords

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