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"Computational Methods for Nonlinear Dynamical Systems proposes novel ideas and develops highly efficient and accurate methods for solving nonlinear dynamical systems, drawing inspiration from the weighted residual method and the asymptomatic method. The book also introduces global estimation methods and local computational methods for nonlinear dynamical systems. Starting from the classic asymptomatic, finite difference and weighted residual methods, typical methods for solving nonlinear dynamical systems are considered. All proposed are new high-performance methods, such as time-domain collocation and local variational iteration. These proposed methods can be used both for real-time simulation and for the analysis of nonlinear dynamics in aerospace engineering. This book summarizes and develops computational methods for strongly nonlinear dynamical systems and considers the practical application of the methods within aerospace engineering, making it an essential resource for those working in this area."--
List of contents
1. Introduction
2. Harmonic Balance Method and Time Domain Collocation Method
3. Dealiasing for Harmonic Balance and Time Domain Collocation Methods
4. Application of Time Domain Collocation in Formation Flying of Satellites
5. Local Variational Iteration Method
6. Collocation of Local Variational Iteration Method
7. Application of Local Variational Iteration Method in Orbital Mechanics
8. Applications of Local Variational Iteration Method in Structural Dynamics
About the author
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.
