Note on 2d binary operadic harmonic oscillator
Eugen Paal, Jyri Virkepu
TL;DR
This paper introduces a method for describing the time evolution of operadic variables and provides a specific example of a 2D binary operadic Lax representation of the harmonic oscillator.
Contribution
It presents the first explicit 2D binary operadic Lax representation for the harmonic oscillator, expanding operadic methods in dynamical systems.
Findings
Operadic variables' time evolution can be systematically introduced.
A concrete 2D binary operadic Lax representation for the harmonic oscillator is constructed.
The approach links operadic structures with classical harmonic oscillator dynamics.
Abstract
It is explained how the time evolution of the operadic variables may be introduced. As an example, a 2-dimensional binary operadic Lax representation of the harmonic oscillator is found.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsNonlinear Dynamics and Pattern Formation · Numerical methods for differential equations · Advanced Topics in Algebra