The concept of using continuous-time dynamical systems (described by ordinary differential equations) in order to solve computational problems is discussed, with an emphasis on convergence analysis and design procedures. The continuous-time approach is illustrated on concrete examples related to the computation of eigenvalues and eigenvectors of matrices.
Absil, P.-A. (2006). Continuous-time systems that solve computational problems. International Journal of Unconventional Computing, 2(4), 291-304. https://hdl.handle.net/2078.5/158708 (Original work published 2006)