On the Hamiltonian formalism for general Lagrangians with higher-order derivatives
✍ Scribed by T. Kimura
- Book ID
- 112905511
- Publisher
- Società Italiana di Fisica
- Year
- 1972
- Weight
- 198 KB
- Volume
- 5
- Category
- Article
- ISSN
- 0375-930X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
The problem of stability for dynamical systems whose Lagrangian function depends on the derivatives of a higher order than one is studied. The difficulty of this analysis arises from the indefiniteness of the Hamiltonian, so that the well-known Lagrange-Dirichlet theorem cannot be used and the metho
In this work, the Hamiltonian approach is applied to obtain the natural frequency of the Duffing oscillator, the nonlinear oscillator with discontinuity and the quintic nonlinear oscillator. The Hamiltonian approach is then extended to the second and third orders to find more precise results. The ac