The principle of least action is a variational principle that states an object will always take the
path of least action as compared to any other conceivable path. This principle can be used …

A longstanding open question in classical mechanics is to formulate the least action
principle for dissipative systems. In this work, we give a general formulation of this principle …

A least action principle for damping motion has been previously proposed with a
Hamiltonian and a Lagrangian containing the energy dissipated by friction. Due to the space …

It is shown that an oldest form of variational calculus of mechanics, the Maupertuis least
action principle, can be used as a simple and powerful approach for the formulation of the …

This work is a formulation of the least action principle for classical mechanical dissipative
systems. We consider a whole conservative system composed of a damped moving body …

According to history texts, philosophers searched for a unifying natural law whereby natural
phenomena and numbers are related. More than 2300 years ago, Aristotle postulated that …

This Note examines the sufficient conditions for the extremization, in particular the
minimization, of the action integral in Hamilton's principle for a one-degree-of-freedom …

The principle of least action is the basic variational principle of particle and continuum
systems. In Hamilton's formulation, a true dynamical trajectory of a system between an initial …

PAPASTAVRIDIS states clearly ([1] p. 961) that the guiding principles of classical mechanics
are the differential variational principles. Differential variational principles focus on …

Perpetual points have been defined recently and their role in the dynamics of mechanical
systems is ongoing research. In this article, the nature of perpetual points in natural …