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

漫不經(jīng)心

Osteons

Chauvinistic

DUST

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

dura-mater

multiply

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

并置

David Powell,Rosalie Liccardo Pacula St?rmer–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.

hypnotic

expdient

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

Expediency