Method for Defining Principal Modes of Nonlinear Systems Utilizing Infinite Determinants

作者： Demetrios G. Magiros

关键词: Nonlinear system 、 Principal (computer security) 、 Structure (category theory) 、 Differential equation 、 Mathematical analysis 、 Type (model theory) 、 Motion (geometry) 、 Mathematics 、 Series (mathematics) 、 Mathematical physics 、 Statistical and Nonlinear Physics

摘要: A method for calculation of ``principal modes'' linear or nonlinear systems is discussed. The physical definition formulated mathematically in two ways. trial solution the differential equation motion system taken an appropriate structure. principal modes leads to infinite determinants Hill's and von Koch's type, which are analyzed. above yields possibility getting form a series, all coefficients can be calculated.