Failure of linear control in noisy coupled map lattices
Publication
, Journal Article
Egolf, DA; Socolar, JES
Published in: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
January 1, 1998
We study a one-dimensional ring of diffusively coupled logistic maps in the vicinity of an unstable, spatially homogeneous fixed point. The failure of linear controllers due to additive noise is discussed with the aim of clarifying the failure mechanism. A criterion is suggested for estimating the noise level that can be tolerated by the given controller. The criterion implies the loss of control for surprisingly low noise levels in certain cases of interest, and accurately accounts for the results of numerical experiments over a broad range of parameter values. Previous results of Grigoriev et al. [Phys. Rev. Lett. 79, 2795 (1997)] are reviewed and compared with our numerical and analytic results.© 1998 The American Physical Society.
Duke Scholars
Published In
Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
DOI
ISSN
1063-651X
Publication Date
January 1, 1998
Volume
57
Issue
5
Start / End Page
5271 / 5275
Citation
APA
Chicago
ICMJE
MLA
NLM
Egolf, D. A., & Socolar, J. E. S. (1998). Failure of linear control in noisy coupled map lattices. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 57(5), 5271–5275. https://doi.org/10.1103/PhysRevE.57.5271
Egolf, D. A., and J. E. S. Socolar. “Failure of linear control in noisy coupled map lattices.” Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics 57, no. 5 (January 1, 1998): 5271–75. https://doi.org/10.1103/PhysRevE.57.5271.
Egolf DA, Socolar JES. Failure of linear control in noisy coupled map lattices. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 1998 Jan 1;57(5):5271–5.
Egolf, D. A., and J. E. S. Socolar. “Failure of linear control in noisy coupled map lattices.” Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, vol. 57, no. 5, Jan. 1998, pp. 5271–75. Scopus, doi:10.1103/PhysRevE.57.5271.
Egolf DA, Socolar JES. Failure of linear control in noisy coupled map lattices. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 1998 Jan 1;57(5):5271–5275.
Published In
Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
DOI
ISSN
1063-651X
Publication Date
January 1, 1998
Volume
57
Issue
5
Start / End Page
5271 / 5275