Titlebook: Geometric Mechanics and Its Applications; Weipeng Hu,Chuan Xiao,Zichen Deng Book 2023 The Editor(s) (if applicable) and The Author(s), und

漫不经心

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Structure-Preserving Analysis of the Dynamics of Micro/Nano Systems,n as an example, the nonlinear behaviors of the nanotube’s vibration contained in the nano-injection system are difficult to be reproduced, which is crucial for the stable operation of the nano-injection. In this chapter, the chaotic characteristics, the quality factor as well as the axial dynamic b

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https://doi.org/10.1007/978-981-19-7435-9Geometric Mechanics; Hamiltonian; Symmetry; Dissipation; Astrodynamics; Structure-preserving; Conservation

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David Powell,Rosalie Liccardo Pacula Störmer–Verlet scheme for the mathematical pendulum model as examples, the vitality of geometric mechanics is illustrated. Then, two main mathematical ways to formulate dynamic systems: Lagrangian mechanics and Hamiltonian mechanics are reviewed, which is the foundation of the geometric mechanics.

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DPE Networks and Evolutionary Dynamicseveral applications of which are presented in this chapter. Generalizing the concept of reversibility to high-dimensional systems, the bisymplectic structure, named as the multi-symplectic structure of the infinite-dimensional Hamiltonian system with several conservation laws are presented. For the

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