Smooth singular value decomposition on the symplectic group and Lyapunov exponents approximation

DOI10.1007/s10092-006-0111-yzbMath1117.65052OpenAlexW1987496999MaRDI QIDQ876738

Luca Dieci, Luciano Lopez

Publication date: 26 April 2007

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10092-006-0111-y

zbMATH Keywords

Lyapunov exponentsSymplectic groupSingular value

Mathematics Subject Classification ID

Related Items (3)

Rotation number and exponential dichotomy for linear Hamiltonian systems: from theoretical to numerical results ⋮ Numerical methods for ordinary differential equations on matrix manifolds ⋮ Computation of functions of Hamiltonian and skew-symmetric matrices

Cites Work

• Differential equations for the analytic singular value decomposition of a matrix
• Orthosymplectic integration of linear Hamiltonian systems
• An SVD-like matrix decomposition and its applications
• Smooth SVD on the Lorentz group with application to computation of Lyapunov exponents.
• Perturbation theory for linear operators.
• Computation of a few Lyapunov exponents for continuous and discrete dynamical systems
• Smoothness and Periodicity of Some Matrix Decompositions
• Comparison of Different Methods for Computing Lyapunov Exponents
• Matrix Analysis
• Differential Topology
• On Smooth Decompositions of Matrices
• Lyapunov Exponents of Systems Evolving on Quadratic Groups
• Computing the Polar Decomposition and the Matrix Sign Decomposition in Matrix Groups
• Computation of the Exponential of Large Sparse Skew-Symmetric Matrices

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