论文信息 - Spectral Analysis of Symplectic Matrices with Application to the Theory of Parametric Resonance

Spectral Analysis of Symplectic Matrices with Application to the Theory of Parametric Resonance

The numerical analysis of the spectral structure of symplectic matrices is proposed. The strong stability of symplectic matrices and linear Hamiltonian systems with periodic coefficients is discussed. Applications to the theory of parametric resonance are illustrated by spectral portraits calculation.

Miloud Sadkane | S. K. Godunov | M. Sadkane | S. Godunov

[1] S. K. Godunov. Stability of iterations of symplectic transformations , 1989 .

[2] A. Malyshev. Parallel Algorithm for Solving Some Spectral Problems of Linear Algebra , 1993 .

[3] T. Kailath,et al. Indefinite-quadratic estimation and control: a unified approach to H 2 and H ∞ theories , 1999 .

[4] M. Sadkane,et al. Numerical Determination of a Canonical Form of a Symplectic Matrix , 2001 .

[5] M. Sadkane,et al. Some new algorithms for the spectral dichotomy methods , 2003 .