Search Results

If i correctly understand your question, i think what you are talking about is the so called Poincare reduction method. This actually generalises Liouville integrability, in the sense that in the pres …

The three formalisms of classical mechanics, i.e. the Newtonian, the Lagrangian (analytical mechanics) and the Hamiltonian (canonical formalism) are generally not equivalent to each other -at least no …

Here's what I have done: $\bullet$ Let the Lagrangian $L(q_{i},\dot{q}_{i},t)$, which under the point transformations $$ \{q_{i}\}\leftrightsquigarrow\{Q_{i}\} $$ given by the invertible relations $ …

Let a Lagrangian dynamical system with $n$ degrees of freedom and configuration space $\mathbb{R}^n$ (i.e. phase space $\mathbb{R}^{2n}$), which is described by $L=L(q_{i},\dot{q}_{i},t)$, $i=1,2,.. …