A nonlinear generalization of singular value decomposition and its applications to mathematical modeling and chaotic cryptanalysis

DOI10.1007/s10440-010-9560-zzbMath1206.37050OpenAlexW4248200377MaRDI QIDQ711639

Prabhakar G. Vaidya, Nithin Nagaraj, Sajini Anand P. S

Publication date: 27 October 2010

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-010-9560-z

zbMATH Keywords

singular value decompositionmathematical modelingnonlinear time series analysischaotic cryptanalysis

Mathematics Subject Classification ID

General nonlinear regression (62J02) Time series analysis of dynamical systems (37M10) Dynamical systems in numerical analysis (37N30) Applications of functional analysis in numerical analysis (46N40)

Related Items (2)

Structured low-rank approximation for nonlinear matrices ⋮ A Geometric Approach to Dynamical Model Order Reduction

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Singular value decomposition of quaternion matrices: a new tool for vector-sensor signal processing
• Testing for nonlinearity in time series: the method of surrogate data
• Measuring the strangeness of strange attractors
• Extracting qualitative dynamics from experimental data
• A robust orthogonal algorithm for system identification and time-series analysis
• Finite correlation dimension for stochastic systems with power-law spectra
• Decoding chaotic cryptography without access to the superkey.
• Monitoring and speeding up chaotic synchronization.
• Analyzing and improving a chaotic encryption method
• On the detection of determinism in a time series
• State space reconstruction parameters in the analysis of chaotic time series - the role of the time window length
• Chaotic analysis of traffic time series
• Differentiable manifolds
• Total Least Squares: State-of-the-Art Regression in Numerical Analysis
• The search for a low-dimensional characterization of a local climate system
• Estimation of Expression Indexes for Oligonucleotide Arrays Using the Singular Value Decomposition

This page was built for publication: A nonlinear generalization of singular value decomposition and its applications to mathematical modeling and chaotic cryptanalysis