非完整系统的约束Herglotz 方程的梯度化及其解的稳定性

张毅 - 力学学报, 2025 - lxxb.cstam.org.cn
Herglotz 广义变分原理是经典Hamilton 原理对非保守系统的一个推广, 通过微分方程定义作用
量泛函而建立非保守过程的变分描述. 约束Herglotz 方程是由Herglotz 原理结合虚位移的Appell …

Symmetry reduction and reconstruction in contact geometry and Lagrange-Poincar\'e-Herglotz equations

AA Simoes, L Colombo, M de Leon, M Salgado… - arXiv preprint arXiv …, 2024 - arxiv.org
In this paper, we investigate the reduction process of a contact Lagrangian system whose
Lagrangian is invariant under a group of symmetries. We give explicit coordinate …

Symmetry reduction and reconstruction in contact geometry and Lagrange-Poincaré-Herglotz equations

A Anahory Simoes, L Colombo, M de León… - Available at SSRN …, 2024 - papers.ssrn.com
In this paper, we investigate the reduction process of a contact Lagrangian system whose
Lagrangian is invariant under a group of symmetries. We give explicit coordinate …