Reconstruction of time-delayed feedback systems from time series

DOI10.1016/J.PHYSD.2005.03.013zbMath1079.93025OpenAlexW2149984506MaRDI QIDQ556381

M. D. Prokhorov, A. S. Karavaev, Boris P. Bezruchko, Vladimir I. Ponomarenko

Publication date: 13 June 2005

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2005.03.013

zbMATH Keywords

Parameter estimationTime series analysisDelay-differential equationsNonlinear delayed feedback system

Mathematics Subject Classification ID

Feedback control (93B52) Nonlinear systems in control theory (93C10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Time series analysis of dynamical systems (37M10) Complex (chaotic) behavior of solutions to functional-differential equations (34K23)

Related Items (4)

Class-oriented techniques for reconstruction of dynamics from time series ⋮ Recovery of delay time from time series based on the nearest neighbor method ⋮ Encryption and decryption of information in chaotic communication systems governed by delay-differential equations ⋮ Modeling nonlinear dynamics and chaos: a review

Cites Work

• Unnamed Item
• High-dimensional chaotic behavior in systems with time-delayed feedback
• Delay differential equations: with applications in population dynamics
• Chaotic attractors of an infinite-dimensional dynamical system
• Introduction to functional differential equations
• Inferring mechanism from time-series data: Delay-differential equations
• Numerical modelling in biosciences using delay differential equations
• Cracking chaos-based encryption systems ruled by nonlinear time delay differential equations
• Extraction of delay information from chaotic time series based on information entropy
• Reconstruction of nonlinear time delay models from data by the use of optimal transformations.
• Coarse-grained embeddings of time series: Random walks, Gaussian random processes, and deterministic chaos
• Oscillation and Chaos in Physiological Control Systems

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