[HTML][HTML] Application of the polynomial dimensional decomposition method in a class of random dynamical systems

K Lu, L Hou, Y Chen - Journal of Vibroengineering, 2017 - extrica.com
The polynomial dimensional decomposition (PDD) method is applied to study the amplitude-
frequency response behaviors of dynamical system model in this paper. The first two order …

The polynomial dimensional decomposition method in a class of dynamical system with uncertainty

K Lu, L Hou, Y Chen - Vibroengineering Procedia, 2016 - extrica.com
In this paper, polynomial dimensional decomposition (PDD) method is applied to study the
dynamical model for the first time. PDD method can reserve the amplitude-frequency …

A Lyapunov exponent based stability theory for ordinary differential equation initial value problem solvers

AJ Steyer - 2016 - kuscholarworks.ku.edu
In this dissertation we consider the stability of numerical methods approximating the solution
of bounded, stable, and time-dependent solutions of ordinary differential equation initial …