#### Submissions from 2019

The Fundamental Theorem of Classical Mechanics, Piotr W. Hebda and Beata Hebda

#### Submissions from 2018

Darboux-Box Variables and the Existence of a Complete Set of Lagrangians for Given n-Dimensional Newtonian Equations of Motion. The Isomorphism of n-Dimensional Newtonian Dynamical Systems, Piotr W. Hebda and Beata Hebda

Generalized Position-Velocity Variables and the Existence of a Lagrange-Hamilton Formalism for Given n-Dimensional Newtonian Equations of Motion, Piotr W. Hebda Ph.D. and Beata Hebda Dr.

#### Submissions from 2016

For a Given, Time Independent, System of Equations of Motion, Any Non-Trivial Constant of Motion is Locally a Hamiltonian, Piotr W. Hebda Ph.D. and Beata Hebda Dr.

#### Submissions from 2015

An example of Lagrangian for a non-holonomic system, Piotr W. Hebda and Beata A. Hebda

Local existence of Dynamically Allowed Brackets and a local existence of a Hamiltonian associated with these Brackets, for a given, possibly time dependent, N-dimensional Equations of Motion that may include Constraints, Piotr W. Hebda and Beata A. Hebda

Spontaneous Dimension Reduction and the Existence of a local Lagrange-Hamilton Formalism for Given n-Dimensional Newtonian Equations of Motion, Piotr W. Hebda and Beata A. Hebda

Spontaneous Dimension Reduction and the Existence of a Local Lagrangian for Given n-Dimensional Newtonian Equations of Motion, Piotr W. Hebda and Beata A. Hebda