2003/02/24 by Rahul Konnur
Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Artificial intelligence #CHAOS (operating system) #Chaos control and synchronization #Chaotic #Chaotic systems #Computer science #Control theory (sociology) #Estimation theory #Fractal and DNA sequence analysis #Lorenz system #Mathematics #Noise (video) #Nonlinear Dynamics and Pattern Formation #Scalar (mathematics) #Synchronization (alternating current) #Synchronization of chaos #nlin.AO #nlin.CD
paper · pdf · doi:10.1103/physreve.67.027204
published as A slightly modified version published in Physical Review E67, 027204, 2003 · 13 pages, 4 figures
openalex publication_date 2003/02/24 · arxiv created 2004/05/18 · arxiv updated 2015/06/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The problem of dynamic estimation of all parameters of a model representing chaotic and hyperchaotic systems using information from a scalar measured output is solved. The variational calculus based method is robust in the presence of noise, enables online estimation of the parameters and is also able to rapidly track changes in operating parameters of the experimental system. The method is demonstrated using the Lorenz, Rossler chaos, and hyperchaos models. Its possible application in decoding communications using chaos is discussed.