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

作　　者：Eli A. Vazquez Joaquin Collado 

机构地区：[1]Automatic Control Department, CINVESTAV-IPN, Mexico City, Mexico

出　　处：《Applied Mathematics》2018年第11期1315-1337,共23页应用数学（英文）

摘　　要：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.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.

关 键 词：MONODROMY Operator PERIODIC Delay Differential Equations WALSH FUNCTIONS Block Pulse FUNCTIONS Finite Rank Approximation 

分 类 号：O1[理学—数学]