Computational Methods for Nonlinear Dynamical Systems

Xuechuan Wang is an Associate Researcher at Northwestern Polytechnical University, China. His research has focused on the frontiers of space exploration, and specifically, on computational methods for nonlinear dynamical systems. Xiaokui Yue is a Professor at Northwestern Technical University, China. His research has focused on the frontiers of space exploration and on computational methods for nonlinear dynamical systems. Honghua Dai is a Professor at Northwestern Technical University, China. His research has focused on the frontiers of space exploration and, specifically, on computational methods for nonlinear dynamical systems. Haoyang Feng is a Doctoral Student at Northwestern Polytechnical University, China. He works on computational methods for nonlinear dynamical systems at Northwestern Polytechnical University, a leading institute at the frontier of space exploration. Presidential Chair & University Distinguished Professor of Texas Tech University, has a fellowship of the American Institute of Aeronautics & Astronautics, and academy membership of USA National Academy of Engineering.

• 1. Introduction2. Harmonic Balance Method and Time Domain Collocation Method3. Dealiasing for Harmonic Balance and Time Domain Collocation Methods4. Application of Time Domain Collocation in Formation Flying of Satellites5. Local Variational Iteration Method6. Collocation of Local Variational Iteration Method7. Application of Local Variational Iteration Method in Orbital Mechanics8. Applications of Local Variational Iteration Method in Structural Dynamics