A new nonlinear dynamical system that leads to eigenvalues

DOI10.1007/BF03167198zbMath0757.58020MaRDI QIDQ1185123

Yoshimasa Nakamura

Publication date: 28 June 1992

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Lie algebramatrix eigenvalue problemCartan subalgebrastable fixed pointsdynamical system of Lax type

Mathematics Subject Classification ID

Topological dynamics (37B99) Nonlinear differential equations in abstract spaces (34G20) Stability theory for smooth dynamical systems (37C75)

Related Items (7)

Gradient systems in view of information geometry ⋮ On explicit solvable gradient systems of Moser-Karmarkar type ⋮ Isospectral flows expressed in multiple bracket forms ⋮ Jacobi algorithm for symmetric eigenvalue problem and integrable gradient system of Lax form ⋮ Isospectral gradient flows for non-symmetric eigenvalue problem ⋮ Lax pair and fixed point analysis of Karmarkar's projective scaling trajectory for linear programming ⋮ Neurodynamics and nonlinear integrable systems of Lax type

Cites Work

• The QR algorithm and scattering for the finite nonperiodic Toda lattice
• Convexity properties of the moment mapping
• Ordinary Differential Equations and the Symmetric Eigenvalue Problem
• A new formulation of the generalized Toda lattice equations and their fixed point analysis via the momentum map
• The Generalized Toda Flow, the QR Algorithm and the Center Manifold Theory
• A completely integrable Hamiltonian system associated with line fitting in complex vector spaces
• On the Continuous Realization of Iterative Processes
• Finitely many mass points on the line under the influence of an exponential potential -- an integrable system
• Isospectral Flows

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