A new type of non-Noether exact invariants and adiabatic invariants of generalized Hamiltonian systems

Applications of lie groups to differential equations

Acta Applicandae Mathematicae · 1990 · 6K citations

Lie Point Symmetry, Lie Groups, Lie Group +1

Energy-based Lyapunov functions for forced Hamiltonian systems with dissipation

Bernhard Maschke, Roméo Ortega, Arjan van der Schaft · IEEE Transactions on Automatic Control · 2000 · 295 citations

Hamiltonian Theory, Linear Systems, Forced Hamiltonian Systems +6

CRC Handbook of Lie Group Analysis of Differential Equations. Vol. 2. Applications in Engineering and Physical Sciences

А. В. Аксенов, В. А. Байков, В. А. Чугунов et al. · 1995 · 279 citations

Lie Group, Physics, Differential Equations +3

Dynamical symmetries and conserved quantities

M. Lutzky · Journal of Physics A Mathematical and General · 1979 · 253 citations

Dynamical Symmetries, Symmetry Principles, Point Symmetries +8

A new conservation law constructed without using either Lagrangians or Hamiltonians

Sergio A. Hojman · Journal of Physics A Mathematical and General · 1992 · 183 citations

Hamiltonian Theory, Symmetry Principles, New Conservation Theorem +10