A class of lossless nonlinear dynamical systems computing eigenvalues

The electrical networks described model a nonlinear dynamical system, the finite nonperiodic Toda lattice. Iterative eigenvalue and singular value algorithms can be extended to ordinary differential equations and in this way an alternative to digital implementations can be offered. These differential equations and their properties are presented. One basic step for finding a VLSI-suited analog circuit realization is to design network models. Several models for diagonalization of symmetric tridiagonal matrices are proposed. The class of circuits discussed has some properties such as invariants like losslessness or polynomial-type nonlinearity