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}
}
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