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4 questions with no upvoted or accepted answers
3 votes
0 answers
222 views

Does the additivity property of Integrals of motion and Lagrangians valid in all situations?

I would like to know if the additivity property of an integral (constant) of motion valid in all situations ? It works for energy but does it work for all other integrals of motion in all kinds of ...
singularity's user avatar
1 vote
0 answers
83 views

Independence of variables in Lagrangain and Hamiltonian mechanics - Rigorous Mathematical approach

I am trying to self-learn the Hamiltonian and Lagrangian mechanics and I came across thoughts to which I could not find an answer therefore I would like to try and ask them here. My questions are as ...
Gauss_fan's user avatar
0 votes
0 answers
64 views

What would make the Legendre transformation interesting, from the graphical point of view?

The term "transformation" is often used in physics and mathematics for functions to denote a different (and useful) way of encoding the information in a function. In this question, I want to ...
Jbag1212's user avatar
  • 2,599
0 votes
2 answers
42 views

Is there a way to understand which variable is more influential in the dynamics of a system?

Is there any known way to identify which variable has the most impact in the dynamics of a system given its lagrangian or hamiltonian formulation? Let's say i have a system with 3 variables, two ...
francesco pagano's user avatar