Monogenic system
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If in a physical system, except for the constraint forces, all forces are derivable from the generalized scalar potential, and this generalized scalar potential may be a function of generalized coordinates, generalized velocities, or time, then, this system is a monogenic system.
Lagrangian mechanics often involves monogenic systems. If a physical system is both a holonomic system and a monogenic system, then Hamilton's principle is necessary and sufficient for the validity of Lagrange's equationss[1].
See also
Reference
- ^ Goldstein, Herbert (1980). Classical Mechanics (3rd ed.). United States of America: Addison Wesley. pp. pp. 35. ISBN 0201657023.
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