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Vazquez, E.A. and Collado, J. (2016) Monodromy Operator Approximation of Periodic Delay Differential Equations by Walsh Functions. 13th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE), IEEE.

has been cited by the following article:

• TITLE: Finite Dimensional Approximation of the Monodromy Operator of a Periodic Delay Differential Equation with Piecewise Constant Orthonormal Functions

  AUTHORS: Eli A. Vazquez, Joaquin Collado

  KEYWORDS: Monodromy Operator, Periodic Delay Differential Equations, Walsh Functions, Block Pulse Functions, Finite Rank Approximation

  JOURNAL NAME: Applied Mathematics, Vol.9 No.11, November 30, 2018

  ABSTRACT: Using piecewise constant orthonormal functions, an approximation of the monodromy operator of a Linear Periodic Delay Differential Equation (PDDE) is obtained by approximating the integral equation corresponding to the PDDE as a linear operator over the space of initial conditions. This approximation allows us to consider the state space as finite dimensional resulting in a finite matrix approximation whose spectrum converges to the spectrum of the monodromy operator.