International Journal of Mathematics and Mathematical Sciences (Jan 2004)

Stochastic linearization of nonlinear point dissipative systems

  • James A. Reneke

DOI
https://doi.org/10.1155/S0161171204301225
Journal volume & issue
Vol. 2004, no. 65
pp. 3541 – 3563

Abstract

Read online

Stochastic linearization produces a linear system with the same covariance kernel as the original nonlinear system. The method passes from factorization of finite-dimensional covariance kernels through convergence results to the final input/output operator representation of the linear system.