Trajectory scaling functions at the onset of chaos: Experimental results

Andrew L. Belmonte; Michael J. Vinson; James A. Glazier; Gemunu H. Gunaratne; Brian G. Kenny

doi:10.1103/PhysRevLett.61.539

Trajectory scaling functions at the onset of chaos: Experimental results

Andrew L. Belmonte
, Michael J. Vinson
, James A. Glazier
, Gemunu H. Gunaratne
, Brian G. Kenny

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

13 Scopus citations

Abstract

We use an averaging technique to estimate the periodic points for attractors near the transition to chaos via period doubling and quasiperiodicity in two experimental systems. Using the averaged experimental data we then evaluate the trajectory scaling functions for both routes to chaos.

Original language	English (US)
Pages (from-to)	539-542
Number of pages	4
Journal	Physical Review Letters
Volume	61
Issue number	5
DOIs	https://doi.org/10.1103/PhysRevLett.61.539
State	Published - Jan 1 1988

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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10.1103/PhysRevLett.61.539

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title = "Trajectory scaling functions at the onset of chaos: Experimental results",

abstract = "We use an averaging technique to estimate the periodic points for attractors near the transition to chaos via period doubling and quasiperiodicity in two experimental systems. Using the averaged experimental data we then evaluate the trajectory scaling functions for both routes to chaos.",

author = "Belmonte, \{Andrew L.\} and Vinson, \{Michael J.\} and Glazier, \{James A.\} and Gunaratne, \{Gemunu H.\} and Kenny, \{Brian G.\}",

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AU - Belmonte, Andrew L.

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AU - Glazier, James A.

AU - Gunaratne, Gemunu H.

AU - Kenny, Brian G.

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N2 - We use an averaging technique to estimate the periodic points for attractors near the transition to chaos via period doubling and quasiperiodicity in two experimental systems. Using the averaged experimental data we then evaluate the trajectory scaling functions for both routes to chaos.

AB - We use an averaging technique to estimate the periodic points for attractors near the transition to chaos via period doubling and quasiperiodicity in two experimental systems. Using the averaged experimental data we then evaluate the trajectory scaling functions for both routes to chaos.

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UR - https://www.scopus.com/pages/publications/6144225819#tab=citedBy

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JO - Physical Review Letters

JF - Physical Review Letters

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Trajectory scaling functions at the onset of chaos: Experimental results

Abstract

All Science Journal Classification (ASJC) codes

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