Characterization of an experimental strange attractor by periodic orbits

Daniel P. Lathrop; Eric J. Kostelich

doi:10.1103/PhysRevA.40.4028

Characterization of an experimental strange attractor by periodic orbits

Daniel P. Lathrop, Eric J. Kostelich

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

315 Scopus citations

Abstract

We describe a general procedure to locate periodic saddle orbits in a chaotic attractor reconstructed from experimental data. The method is applied to data from a Belousov-Zhabotinskii chemical reaction. The eigenvalues associated with the saddle orbits are used to estimate the Lyapunov exponents. An analysis of the next amplitude map determines the allowable periodic orbits and yields an estimate of the topological entropy.

Original language	English (US)
Pages (from-to)	4028-4031
Number of pages	4
Journal	Physical Review A
Volume	40
Issue number	7
DOIs	https://doi.org/10.1103/PhysRevA.40.4028
State	Published - 1989
Externally published	Yes

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics

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10.1103/PhysRevA.40.4028

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title = "Characterization of an experimental strange attractor by periodic orbits",

abstract = "We describe a general procedure to locate periodic saddle orbits in a chaotic attractor reconstructed from experimental data. The method is applied to data from a Belousov-Zhabotinskii chemical reaction. The eigenvalues associated with the saddle orbits are used to estimate the Lyapunov exponents. An analysis of the next amplitude map determines the allowable periodic orbits and yields an estimate of the topological entropy.",

author = "Lathrop, {Daniel P.} and Kostelich, {Eric J.}",

year = "1989",

doi = "10.1103/PhysRevA.40.4028",

language = "English (US)",

volume = "40",

pages = "4028--4031",

journal = "Physical Review A",

issn = "1050-2947",

publisher = "American Physical Society",

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T1 - Characterization of an experimental strange attractor by periodic orbits

AU - Lathrop, Daniel P.

AU - Kostelich, Eric J.

PY - 1989

Y1 - 1989

N2 - We describe a general procedure to locate periodic saddle orbits in a chaotic attractor reconstructed from experimental data. The method is applied to data from a Belousov-Zhabotinskii chemical reaction. The eigenvalues associated with the saddle orbits are used to estimate the Lyapunov exponents. An analysis of the next amplitude map determines the allowable periodic orbits and yields an estimate of the topological entropy.

AB - We describe a general procedure to locate periodic saddle orbits in a chaotic attractor reconstructed from experimental data. The method is applied to data from a Belousov-Zhabotinskii chemical reaction. The eigenvalues associated with the saddle orbits are used to estimate the Lyapunov exponents. An analysis of the next amplitude map determines the allowable periodic orbits and yields an estimate of the topological entropy.

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U2 - 10.1103/PhysRevA.40.4028

DO - 10.1103/PhysRevA.40.4028

M3 - Article

AN - SCOPUS:4143093387

SN - 1050-2947

VL - 40

SP - 4028

EP - 4031

JO - Physical Review A

JF - Physical Review A

IS - 7

ER -

Characterization of an experimental strange attractor by periodic orbits

Abstract

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