A Novel Variational Principle arising from Electromagnetism

Date
Authors
Wu, Hanzhong
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Description
Analyzing one example of LC circuit in [8], show its Lagrange problem only have other type critical points except for minimum type and maximum type under many circumstances. One novel variational principle is established instead of Pontryagin maximum principle or other extremal principles to be suitable for all types of critical points in nonlinear LC circuits. The generalized Euler-Lagrange equation of new form is derived. The canonical Hamiltonian systems of description are also obtained under the Legendre transformation, instead of the generalized type of Hamiltonian systems. This approach is not only very simple in theory but also convenient in applications and applicable for nonlinear LC circuits with arbitrary topology and other additional integral constraints.
Keywords
Mathematics - General Mathematics, Mathematical Physics, 70H03, 70H05, 70H30, 49S05, 94C05
Citation
Collections