15 citations · 37 across the 6 of their papers we have counts for
6 papers
Dynamical deformations of three-dimensional Lie algebras in Bianchi classification over the harmonic oscillator
Eugen Paal, Jyri Virkepu
Operadic Lax representations for the harmonic oscillator are used to construct the dynamical deformations of three-dimensional (3D) real Lie algebras in the Bianchi classification.…
3D binary anti-commutative operadic Lax representations for harmonic oscillator
Eugen Paal, Jyri Virkepu
It is explained how the time evolution of the operadic variables may be introduced by using the operadic Lax equation. The operadic Lax representations for the harmonic oscillator…
2D binary operadic Lax representation for harmonic oscillator
Eugen Paal, Jyri Virkepu
It is explained how the time evolution of operadic variables may be introduced by using the operadic Lax equation. As an example, a 2-dimensional binary operadic Lax representation…
Note on 2d binary operadic harmonic oscillator
Eugen Paal, Jyri Virkepu
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…
How to compose Lagrangian?
Eugen Paal, Jyri Virkepu
A method for constructing Lagrangians for the Lie transformation groups is explained. As examples, the Lagrangians for real plane rotations and affine transformations of the real l…
Note on operadic harmonic oscillator
Eugen Paal, Jyri Virkepu
It is explained how the time evolution of the operadic variables may be introduced. As an example, an operadic Lax representation of the harmonic oscillator is considered.