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Title: Controlling chaos in a high dimensional system with periodic parametric perturbations

Abstract

The effect of applying a periodic perturbation to an accessible parameter of a high-dimensional (coupled-Lorenz) chaotic system is examined. Numerical results indicate that perturbation frequencies near the natural frequencies of the unstable periodic orbits of the chaotic system can result in limit cycles or significantly reduced dimension for relatively small perturbations.

Authors:
;
Publication Date:
Research Org.:
Univ. of Wisconsin, Dept. of Physics, Madison, WI (United States)
Sponsoring Org.:
USDOE Office of Energy Research, Washington, DC (United States)
OSTI Identifier:
291145
Report Number(s):
DOE/ER/54345-308
ON: DE99001038; TRN: 99:002397
DOE Contract Number:  
FG02-96ER54345
Resource Type:
Technical Report
Resource Relation:
Other Information: PBD: Oct 1998
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; DYNAMICS; STOCHASTIC PROCESSES; CONTROL; DISTURBANCES; LYAPUNOV METHOD; PARAMETRIC ANALYSIS

Citation Formats

Mirus, K A, and Sprott, J C. Controlling chaos in a high dimensional system with periodic parametric perturbations. United States: N. p., 1998. Web. doi:10.2172/291145.
Mirus, K A, & Sprott, J C. Controlling chaos in a high dimensional system with periodic parametric perturbations. United States. https://doi.org/10.2172/291145
Mirus, K A, and Sprott, J C. 1998. "Controlling chaos in a high dimensional system with periodic parametric perturbations". United States. https://doi.org/10.2172/291145. https://www.osti.gov/servlets/purl/291145.
@article{osti_291145,
title = {Controlling chaos in a high dimensional system with periodic parametric perturbations},
author = {Mirus, K A and Sprott, J C},
abstractNote = {The effect of applying a periodic perturbation to an accessible parameter of a high-dimensional (coupled-Lorenz) chaotic system is examined. Numerical results indicate that perturbation frequencies near the natural frequencies of the unstable periodic orbits of the chaotic system can result in limit cycles or significantly reduced dimension for relatively small perturbations.},
doi = {10.2172/291145},
url = {https://www.osti.gov/biblio/291145}, journal = {},
number = ,
volume = ,
place = {United States},
year = {Thu Oct 01 00:00:00 EDT 1998},
month = {Thu Oct 01 00:00:00 EDT 1998}
}