Topics in nonhamiltonian (magnetic-type) interaction of classical hamiltonian dynamical systems. I
Abstract
A convenient algebraic structure to describe some forms of dynamics of two hamiltonian systems with nonpotential (magnetic--type) interaction is considered. An algebraic mechanism of generation of such dynamics is explored on simple "toy" examples and models. Nonpotential chains and their continuum limits are also considered. Examples of hybrid couplings with both potential and nonpotential (magnetic--type) interactions are discussed.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.